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Journal articles on the topic 'Continuous-Discrete observers'

Author: Grafiati

Published: 7 July 2024

Last updated: 31 July 2025

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1

Dorfler, Florian, Fabio Pasqualetti, and Francesco Bullo. "Continuous-Time Distributed Observers With Discrete Communication." IEEE Journal of Selected Topics in Signal Processing 7, no. 2 (2013): 296–304. http://dx.doi.org/10.1109/jstsp.2013.2245300.

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Ahmed-Ali, Tarek, Romain Postoyan, and Françoise Lamnabhi-Lagarrigue. "Continuous–discrete adaptive observers for state affine systems." Automatica 45, no. 12 (2009): 2986–90. http://dx.doi.org/10.1016/j.automatica.2009.09.005.

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3

Goffaux, G., A. Vande Wouwer, and O. Bernard. "Continuous - discrete interval observers for monitoring microalgae cultures." Biotechnology Progress 25, no. 3 (2009): 667–75. http://dx.doi.org/10.1002/btpr.167.

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Byrski, Jędrzej, and Witold Byrski. "State estimators and observers for continuous and discrete linear systems. Part 1. Differential asymptotic state estimators." Science, Technology and Innovation 3, no. 2 (2018): 62–68. http://dx.doi.org/10.5604/01.3001.0012.8169.

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In the paper an overview of state estimators and state observers used in linear systems, will be presented. The state estimators and observers can be used in many applications like the state reconstruction for the control purposes or for the diagnosis and fault detection in technical processes or for the virtual measurements of inaccessible variables of the system as well as for the best filtration of the differential equation solution. As the standard most commonly the Kalman filter and Luenberger type observers are used. Although the Kalman filter guarantees optimal filtering quality of the

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Harrigan, Jinni A., John R. Kues, and Joseph G. Weber. "Impressions of Hand Movements: Self-Touching and Gestures." Perceptual and Motor Skills 63, no. 2 (1986): 503–16. http://dx.doi.org/10.2466/pms.1986.63.2.503.

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Two studies addressed the question of observers' impressions of physicians and patients who displayed self-touching, a behavior reported to indicate negative affect. In Study 1 self-touching was regarded as more Expressive and Warm, while control scenes were viewed as more Calm. The results of Study 2 showed that observers judged hand gestures most positively, followed by self-touching, and control scenes on Expressive, Sincere, Natural, and Warm. Control scenes were seen as most Calm. These findings confirm earlier results and represent a perspective on self-touching that has not been previou

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Byrski, Jędrzej, and Witold Byrski. "State estimators and observers for continuous and discrete linear systems. Part 2. Integral observers for exact state reconstruction." Science, Technology and Innovation 5, no. 2 (2019): 23–33. http://dx.doi.org/10.5604/01.3001.0013.2871.

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In the paper, the exact state observers will be presented. The state estimators and observers can be used in technical processes for many purposes like the fault detection and diagnosis, the implementation of the state controllers, and soft reconstruction of inaccessible for measurements variables of the system. As the standard, for continuous systems the differential estimators of Kalman filter or Luenberger type observer are commonly used. However, if the initial conditions of the real state are unknown, both estimators guarantee only an asymptotic quality of the real state tracking. The pap

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7

Astorga, C. M., N. Othman, S. Othman, H. Hammouri, and T. F. McKenna. "Nonlinear continuous–discrete observers: application to emulsion polymerization reactors." Control Engineering Practice 10, no. 1 (2002): 3–13. http://dx.doi.org/10.1016/s0967-0661(01)00100-9.

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8

Shouse, K. R., and D. G. Taylor. "Discrete-time observers for singularly perturbed continuous-time systems." IEEE Transactions on Automatic Control 40, no. 2 (1995): 224–35. http://dx.doi.org/10.1109/9.341780.

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9

Mazenc, Frédéric, Vincent Andrieu, and Michael Malisoff. "Design of continuous–discrete observers for time-varying nonlinear systems." Automatica 57 (July 2015): 135–44. http://dx.doi.org/10.1016/j.automatica.2015.04.016.

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Mazenc, Frédéric, and Emilia Fridman. "Predictor-based sampled-data exponential stabilization through continuous–discrete observers." Automatica 63 (January 2016): 74–81. http://dx.doi.org/10.1016/j.automatica.2015.10.016.

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11

Eisma, Yke Bauke, Anouk E. Looijestijn, and Joost C. F. de Winter. "Attention Distribution While Detecting Conflicts between Converging Objects: An Eye-Tracking Study." Vision 4, no. 3 (2020): 34. http://dx.doi.org/10.3390/vision4030034.

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In many domains, including air traffic control, observers have to detect conflicts between moving objects. However, it is unclear what the effect of conflict angle is on observers’ conflict detection performance. In addition, it has been speculated that observers use specific viewing techniques while performing a conflict detection task, but evidence for this is lacking. In this study, participants (N = 35) observed two converging objects while their eyes were recorded. They were tasked to continuously indicate whether a conflict between the two objects was present. Independent variables were

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12

Farza, M., M. M'Saad, M. L. Fall, E. Pigeon, O. Gehan, and K. Busawon. "Continuous-Discrete Time Observers for a Class of MIMO Nonlinear Systems." IEEE Transactions on Automatic Control 59, no. 4 (2014): 1060–65. http://dx.doi.org/10.1109/tac.2013.2283754.

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13

Goffaux, G., A. Vande Wouwer, and O. Bernard. "Improving continuous–discrete interval observers with application to microalgae-based bioprocesses." Journal of Process Control 19, no. 7 (2009): 1182–90. http://dx.doi.org/10.1016/j.jprocont.2009.03.009.

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14

Mazenc, Frédéric, and Thach Ngoc Dinh. "Construction of interval observers for continuous-time systems with discrete measurements." Automatica 50, no. 10 (2014): 2555–60. http://dx.doi.org/10.1016/j.automatica.2014.08.008.

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15

Zhang, Peng, Jie Wang, Yihao Yang, Shuai Liu, and Jingtao Huang. "On Full-Order Flux Observer and Its Discretization for Induction Motor Control." Electronics 14, no. 5 (2025): 916. https://doi.org/10.3390/electronics14050916.

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Accurate flux observation is crucial for the high-performance control of induction motors (IMs). Implementing a full-order flux observer algorithm in digital controllers requires discretizing the continuous-domain full-order flux observer. However, the errors introduced by discretization increase with rising rotor speed. In the field-weakening region, inappropriate discretization methods can lead to significant flux estimation errors, severely affecting the performance of model predictive control-based induction motors and potentially causing system instability. To enhance the convergence spee

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ENGEL, B., G. BRUIN, G. ANDRE, and W. BUIST. "Assessment of observer performance in a subjective scoring system: visual classification of the gait of cows." Journal of Agricultural Science 140, no. 3 (2003): 317–33. http://dx.doi.org/10.1017/s0021859603002983.

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As with any measurement procedure, the performance of a subjective classification procedure must be evaluated. Observers have to be trained and their performance has to be assessed, preferably on a regular basis, to guarantee sufficient consistency and accuracy of classification results. The current paper is a study of observer performance where observers were asked to classify the gait of cows from video recordings. Gait was classified in nine ordered categories (ranging from 1=normal gait to 9=severely abnormal gait) and also as a continuous fraction by putting a mark on a paper strip (the l

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17

Zhao, Guanglei, and Changchun Hua. "Continuous–discrete-time adaptive observers for nonlinear systems with sampled output measurements." International Journal of Systems Science 48, no. 12 (2017): 2599–609. http://dx.doi.org/10.1080/00207721.2017.1324924.

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18

Boizot, Nicolas, and Eric Busvelle. "On the stability of a differential Riccati equation for continuous-discrete observers." International Journal of Control 89, no. 2 (2015): 322–36. http://dx.doi.org/10.1080/00207179.2015.1076937.

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19

Ménard, Tomas, Emmanuel Bernuau, Emmanuel Moulay, and Patrick Coirault. "Continuous–discrete time observers for homogeneous nonlinear systems with sampled-data outputs." Automatica 151 (May 2023): 110905. http://dx.doi.org/10.1016/j.automatica.2023.110905.

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20

Escobar-Jiménez, R. F., M. Alegría-Zamudio, A. C. Téllez-Anguiano, and V. H. Olivares-Peregrino. "Sensor FDI System Based on Discrete-TimeFractional-Order Observers." Mathematical Problems in Engineering 2023 (February 17, 2023): 1–10. http://dx.doi.org/10.1155/2023/9984828.

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The design of sensor fault detection and isolation (FDI) systems has been studied widely by several authors of different fields of science (engineering, mathematics, physics) to ensure the continuous operation of systems or processes. This research presents the design and evaluation of a fault detection and isolation (FDI) system based on discrete fractional-orderhigh-gain observers (DFOHGO) for the outlet temperature sensors of a heat exchanger. The formulation of the discrete fractional-order observers is based on the Grünwald–Letnikov fractional-order derivative. The FDI system is based on

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21

Chen, Jeng-Tzong, Jia-Wei Lee, Yi-Ling Huang, Cheng-Hsiang Shao, and Cheng-Hsuan Lu. "On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain." Journal of Mechanics 37 (2021): 339–45. http://dx.doi.org/10.1093/jom/ufab003.

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ABSTRACT In this paper, we proposed two ways to understand the rank deficiency in the continuous system (boundary integral equation method, BIEM) and discrete system (boundary element method, BEM) for a circular case. The infinite-dimensional degree of freedom for the continuous system can be reduced to finite-dimensional space using the generalized Fourier coordinates. The property of the second-order tensor for the influence matrix under different observers is also examined. On the other hand, the discrete system in the BEM can be analytically studied, thanks to the spectral property of circ

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22

Pengov, Marco, Edouard Richard, and Jean-Claude Vivalda. "Continuous-Discrete Observers for Global Stabilization of Nonlinear Systems with Applications to Bioreactors." European Journal of Control 8, no. 5 (2002): 465–76. http://dx.doi.org/10.3166/ejc.8.465-476.

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23

Mazenc, Frederic, and Michael Malisoff. "Continuous Discrete Sequential Observers for Time-Varying Systems Under Sampling and Input Delays." IEEE Transactions on Automatic Control 65, no. 4 (2020): 1704–9. http://dx.doi.org/10.1109/tac.2019.2930676.

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24

Astorga-Zaragoza, Carlos-Manuel, Sami Othman, and Hassan Hammouri. "ON-LINE MONITORING AND CONTROL OF NON-LINEAR SYSTEMS VIA CONTINUOUS-DISCRETE OBSERVERS." IFAC Proceedings Volumes 35, no. 1 (2002): 455–60. http://dx.doi.org/10.3182/20020721-6-es-1901.00487.

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25

Caliskan, Fikret, and Mohamed A. Zohdy. "Robust quadratic stabilization applied to design of continuous-time and discrete-time observers." ISA Transactions 42, no. 3 (2003): 381–89. http://dx.doi.org/10.1016/s0019-0578(07)60141-4.

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26

Darouach, Mohamed, Francesco Amato, and Marouane Alma. "Functional observers design for descriptor systems via LMI: Continuous and discrete-time cases." Automatica 86 (December 2017): 216–19. http://dx.doi.org/10.1016/j.automatica.2017.08.016.

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27

Zhang, Tingting, Frédéric Kratz, Yunhui Hou, and Vincent Idasiak. "A Continuous-Discrete Finite Memory Observer Design for a Class of Nonlinear Systems: Application to Fault Diagnosis." Mathematical Problems in Engineering 2020 (July 16, 2020): 1–14. http://dx.doi.org/10.1155/2020/7312521.

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This paper aims to develop a continuous-discrete finite memory observer (CD-FMO) for a class of nonlinear dynamical systems modeled by ordinary differential equations (ODEs) with discrete measurements. The nonlinear systems under consideration are at least locally Lipschitz, which guarantees the existence and uniqueness of solution at each time instant. The proposed nonlinear observer uses a finite number of collected measurements to estimate the system state in the presence of measurement noise. Besides, a one-step prediction algorithm incorporated with an iterative-update scheme is performed

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28

Khlebnikov, Mikhail. "Sparse Filtering Under Norm-Bounded Exogenous Disturbances Using Observers." SYSTEM THEORY, CONTROL AND COMPUTING JOURNAL 2, no. 1 (2022): 1–7. http://dx.doi.org/10.52846/stccj.2022.2.1.29.

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The paper considers the sparse filtering problem under arbitrary norm-bounded exogenous disturbances. We propose a simple and universal observer-based approach to its solution, based on the LMI technique and the method of invariant ellipsoids; it allows the use of a reduced number of system outputs. From a technical point of view of application, we reduce the original problem to semi-definite programming, which is easily solved numerically. The proposed simple approach is easy to implement and can be equally extended to systems in continuous and discrete time.

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29

Radisavljevic-Gajic, Verica, Dimitri Karagiannis, and Zoran Gajic. "Linear, Nonlinear, and Distributed-Parameter Observers Used for (Renewable) Energy Processes and Systems—An Overview." Energies 17, no. 11 (2024): 2700. http://dx.doi.org/10.3390/en17112700.

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Full- and reduced-order observers have been used in many engineering applications, particularly for energy systems. Applications of observers to energy systems are twofold: (1) the use of observed variables of dynamic systems for the purpose of feedback control and (2) the use of observers in their own right to observe (estimate) state variables of particular energy processes and systems. In addition to the classical Luenberger-type observers, we will review some papers on functional, fractional, and disturbance observers, as well as sliding-mode observers used for energy systems. Observers ha

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30

Davila, Jorge, Alessandro Pisano, and Elio Usai. "Continuous and discrete state reconstruction for nonlinear switched systems via high-order sliding-mode observers." International Journal of Systems Science 42, no. 5 (2011): 725–35. http://dx.doi.org/10.1080/00207721.2010.518254.

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31

Briat, Corentin, and Mustafa Khammash. "Interval peak-to-peak observers for continuous- and discrete-time systems with persistent inputs and delays." Automatica 74 (December 2016): 206–13. http://dx.doi.org/10.1016/j.automatica.2016.07.043.

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32

Floquet, T., D. Mincarelli, A. Pisano, and E. Usai. "Continuous and Discrete State Estimation in Linear Switched Systems by Sliding Mode Observers with Residuals' Projection." IFAC Proceedings Volumes 45, no. 9 (2012): 265–70. http://dx.doi.org/10.3182/20120606-3-nl-3011.00092.

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33

Voortman, Quentin, Alexander Pogromsky, Alexey Matveev, and Henk Nijmeijer. "Data-Rate Constrained Observers of Nonlinear Systems." Entropy 21, no. 3 (2019): 282. http://dx.doi.org/10.3390/e21030282.

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In this paper, the design of a data-rate constrained observer for a dynamical system is presented. This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to imple

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Erb, Wendy M., Whitney Ross, Haley Kazanecki, Tatang Mitra Setia, Shyam Madhusudhana, and Dena J. Clink. "Vocal complexity in the long calls of Bornean orangutans." PeerJ 12 (May 14, 2024): e17320. http://dx.doi.org/10.7717/peerj.17320.

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Vocal complexity is central to many evolutionary hypotheses about animal communication. Yet, quantifying and comparing complexity remains a challenge, particularly when vocal types are highly graded. Male Bornean orangutans (Pongo pygmaeus wurmbii) produce complex and variable “long call” vocalizations comprising multiple sound types that vary within and among individuals. Previous studies described six distinct call (or pulse) types within these complex vocalizations, but none quantified their discreteness or the ability of human observers to reliably classify them. We studied the long calls

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Lewis, Alan, and Tim Miller. "Deceptive Reinforcement Learning in Model-Free Domains." Proceedings of the International Conference on Automated Planning and Scheduling 33, no. 1 (2023): 587–95. http://dx.doi.org/10.1609/icaps.v33i1.27240.

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This paper investigates deceptive reinforcement learning for privacy preservation in model-free and continuous action space domains. In reinforcement learning, the reward function defines the agent's objective. In adversarial scenarios, an agent may need to both maximise rewards and keep its reward function private from observers. Recent research presented the ambiguity model (AM), which selects actions that are ambiguous over a set of possible reward functions, via pre-trained Q-functions. Despite promising results in model-based domains, our investigation shows that AM is ineffective in mode

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Itthipuripat, Sirawaj, Javier O. Garcia, and John T. Serences. "Temporal dynamics of divided spatial attention." Journal of Neurophysiology 109, no. 9 (2013): 2364–73. http://dx.doi.org/10.1152/jn.01051.2012.

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In naturalistic settings, observers often have to monitor multiple objects dispersed throughout the visual scene. However, the degree to which spatial attention can be divided across spatially noncontiguous objects has long been debated, particularly when those objects are in close proximity. Moreover, the temporal dynamics of divided attention are unclear: is the process of dividing spatial attention gradual and continuous, or does it onset in a discrete manner? To address these issues, we recorded steady-state visual evoked potentials (SSVEPs) as subjects covertly monitored two flickering ta

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Ghavifekr, Amir Aminzadeh, Roberto De Fazio, Ramiro Velazquez, and Paolo Visconti. "Sensors Allocation and Observer Design for Discrete Bilateral Teleoperation Systems with Multi-Rate Sampling." Sensors 22, no. 7 (2022): 2673. http://dx.doi.org/10.3390/s22072673.

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This study addresses sensor allocation by analyzing exponential stability for discrete-time teleoperation systems. Previous studies mostly concentrate on the continuous-time teleoperation systems and neglect the management of significant practical phenomena, such as data-swap, the effect of sampling rates of samplers, and refresh rates of actuators on the system’s stability. A multi-rate sampling approach is proposed in this study, given the isolation of the master and slave robots in teleoperation systems which may have different hardware restrictions. This architecture collects data through

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Cai, Guo-Ping, and C. W. Lim. "Continuous Suboptimal Control with Partial State Feedback." Journal of Vibration and Control 11, no. 4 (2005): 561–78. http://dx.doi.org/10.1177/1077546305052038.

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It is well known that the classical optimal control method requires availability of all state variables of the controlled system for control feedback. This requires a measurable system, namely that all state variables may be obtained by measurement of sensors or by estimation of observers. However, some state variables in control feedback actually have a small effect on control performance. Neglecting these state variables does not greatly affect the performance of control. In this paper, we investigate a continuous suboptimal control method with partial-state feedback. First, the state variab

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Киселёва, О. А., Т. В. Попова, and А. Ю. Тимошкин. "FEATURES OF THE APPLICATION OF THE OBSERVER STATES IN A CONTACTLESS DC MOTOR." МОДЕЛИРОВАНИЕ, ОПТИМИЗАЦИЯ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ 7, no. 4(27) (2019): 45–46. http://dx.doi.org/10.26102/2310-6018/2019.27.4.045.

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В работе проводится анализ формирования дискретного векторного эквивалента для управления бесконтактным двигателем постоянного тока. Рассмотрены вопросы применения наблюдателей состояния вместо электромеханических датчиков положения ротора. Показана особенность построения наблюдателя состояния, заключающаяся в том, что информация на его вход поступает от непрерывного рабочего токового поля, а на выходе он формирует дискретное вращающее управляющее поле за счет переключений обмоток синхронного двигателя силовым инвертором напряжения, базируясь на параметрах двигателя и исполнительного устройств

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Kalamian, Nasrin, Masoud Soltani, Fariba Bouzari Liavoli, and Mona Faraji Niri. "Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches." Computers 13, no. 6 (2024): 142. http://dx.doi.org/10.3390/computers13060142.

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Permanent Magnet Synchronous Motors (PMSMs) with high energy efficiency, reliable performance, and a relatively simple structure are widely utilised in various applications. In this paper, a suboptimal controller is proposed for PMSMs without sensors based on the state-dependent Riccati equation (SDRE) technique combined with customised impulsive observers (IOs). Here, the SDRE technique facilitates a pseudo-linearised display of the motor with state-dependent coefficients (SDCs) while preserving all its nonlinear features. Considering the risk of non-available/non-measurable states in the mot

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Danilova, M. V., and J. D. Mollon. "Is discrimination enhanced at the boundaries of perceptual categories? A negative case." Proceedings of the Royal Society B: Biological Sciences 281, no. 1785 (2014): 20140367. http://dx.doi.org/10.1098/rspb.2014.0367.

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The human visual system imposes discrete perceptual categories on the continuous input space that is represented by the ratios of excitations of the cones in the retina. Is discrimination enhanced at the boundaries between perceptual hues, in the way that discrimination may be enhanced at the boundaries between speech sounds in hearing? In the chromaticity diagram, the locus of unique green separates colours that appear yellowish from those that appear bluish. Using a two-alternative spatial forced choice and an adapting field equivalent to the Daylight Illuminant D65, we measured chromatic di

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42

Lavenda, B. H. "Special Relativity via Modified Bessel Functions." Zeitschrift für Naturforschung A 55, no. 9-10 (2000): 745–53. http://dx.doi.org/10.1515/zna-2000-9-1001.

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The recursive formulas of modified Bessel functions give the relativistic expressions for energy and momentum. Modified Bessel functions are solutions to a continuous time, one-dimensional discrete jump process. The jump process is analyzed from two inertial frames with a relative constant velocity; the average distance of a particle along the chain corresponds to the distance between two observers in the two inertial frames. The recursion relations of modified Bessel functions are compared to the 'k calculus' which uses the radial Doppler effect to derive relativistic kinematics. The Doppler

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Gujja, Musa Mohammed, Dahaman Ishak, Muhammad Najwan Hamidi, Mohamed Salem, Mohamad Nazir Abdullah, and Khalil Alluhaybi. "Rounding function-based zero crossing detection for a sensorless BLDC motor control." International Journal of Power Electronics and Drive Systems (IJPEDS) 16, no. 1 (2025): 106. https://doi.org/10.11591/ijpeds.v16.i1.pp106-116.

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Permanent magnet brushless DC (PMBLDC) motors are favored for their low maintenance, high reliability, and efficiency, making them ideal for industrial, domestic, military, aerospace, and robotics applications. Sensor less control is the most preferred technique for PMBLDC motors due to its reliability and cost-effectiveness, eliminating the need for physical sensors. A crucial aspect of sensor less control is accurately detecting the point of zero crossing of the back electromotive force (BEMF) signals. Traditional methods, such as rotor position estimation, input observers, and AI-based stra

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Gujja, Musa Mohammed, Dahaman Ishak, Muhammad Najwan Hamidi, et al. "Rounding function-based zero crossing detection for a sensorless BLDC motor control." International Journal of Power Electronics and Drive Systems 16, no. 1 (2025): 106–16. https://doi.org/10.11591/ijpeds.v16.i1.pp106-116.

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Permanent magnet brushless DC (PMBLDC) motors are favored for their low maintenance, high reliability, and efficiency, making them ideal for industrial, domestic, military, aerospace, and robotics applications. Sensor less control is the most preferred technique for PMBLDC motors due to its reliability and cost-effectiveness, eliminating the need for physical sensors. A crucial aspect of sensor less control is accurately detecting the point of zero crossing of the back electromotive force (BEMF) signals. Traditional methods, such as rotor position estimation, input observers, and AI-based stra

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45

Bonnen, Kathryn, Alexander C. Huk, and Lawrence K. Cormack. "Dynamic mechanisms of visually guided 3D motion tracking." Journal of Neurophysiology 118, no. 3 (2017): 1515–31. http://dx.doi.org/10.1152/jn.00831.2016.

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The continuous perception of motion-through-depth is critical for both navigation and interacting with objects in a dynamic three-dimensional (3D) world. Here we used 3D tracking to simultaneously assess the perception of motion in all directions, facilitating comparisons of responses to motion-through-depth to frontoparallel motion. Observers manually tracked a stereoscopic target as it moved in a 3D Brownian random walk. We found that continuous tracking of motion-through-depth was selectively impaired, showing different spatiotemporal properties compared with frontoparallel motion tracking.

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Corbett, Jennifer E., and Jaap Munneke. "Statistical stability and set size exert distinct influences on visual search." Attention, Perception, & Psychophysics 82, no. 2 (2019): 832–39. http://dx.doi.org/10.3758/s13414-019-01905-2.

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AbstractDespite continuous retinal chaos, we perceive the world as stable and complete. This illusion is sustained over consecutive glances by reliance on statistical redundancies inherent in the visual environment. For instance, repeating the average size of a collection of differently sized items speeds visual search for a randomly located target regardless of trial-to-trial changes in local element size (Corbett & Melcher, 2014b). Here, we manipulate set size to investigate the potential role attention may play in these facilitative effects of statistical stability on visual search. Obs

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Khartovskii, V. E. "Estimation of the solution of asymptotically observable linear completely regular differential-algebraic systems with delay." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 33, no. 2 (2023): 329–47. http://dx.doi.org/10.35634/vm230210.

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In the article, a problem of solution estimation for linear autonomous completely regular differential-algebraic systems with many commensurate delays is investigated. The class of completely regular differential-algebraic systems with delay under study includes the classes of linear systems of delayed and neutral types; in addition, the analysis of continuous-discrete systems is reduced to completely regular systems. For linear autonomous completely regular differential-algebraic systems with many commensurate delays, the property of asymptotic observability is determined, which are character

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Andrieu, Vincent, Madiha Nadri, Ulysse Serres, and Jean-Claude Vivalda. "Continuous Discrete Observer with Updated Sampling Period." IFAC Proceedings Volumes 46, no. 23 (2013): 439–44. http://dx.doi.org/10.3182/20130904-3-fr-2041.00084.

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Mazenc, Frédéric, Saeed Ahmed, and Michael Malisoff. "Finite time estimation through a continuous-discrete observer." International Journal of Robust and Nonlinear Control 28, no. 16 (2018): 4831–49. http://dx.doi.org/10.1002/rnc.4286.

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Lin, Kuan-Yi, Tung-Sheng Chiang, Chian-Song Chiu, Wen-Fong Hu, and Peter Liu. "Observer-Based H ∞ Fuzzy Synchronization and Output Tracking Control of Time-Varying Delayed Chaotic Systems." Journal of Mathematics 2021 (September 15, 2021): 1–21. http://dx.doi.org/10.1155/2021/5918268.

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Tracking control for the output using an observer-based H ∞ fuzzy synchronization of time-varying delayed discrete- and continuous-time chaotic systems is proposed in this paper. First, from a practical point of view, the chaotic systems here consider the influence of time-varying delays, disturbances, and immeasurable states. Then, to facilitate a uniform control design approach for both discrete- and continuous-time chaotic systems, the dynamic models along with time-varying delays and disturbances are reformulated using the T-S (Takagi–Sugeno) fuzzy representation. For control design consid

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