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Relevant bibliographies by topics / Linear interval parameter matrix families

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Academic literature on the topic 'Linear interval parameter matrix families'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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Journal articles on the topic "Linear interval parameter matrix families"

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Lipnitskii, A. V. "On the instability of the Millionshchikov linear systems depending on a real parameter." Doklady of the National Academy of Sciences of Belarus 63, no. 3 (2019): 270–77. http://dx.doi.org/10.29235/1561-8323-2019-63-3-270-277.

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The present article considers one-parameter families of second-order linear differential systems with a coefficient matrix depending on the real parameter, which is a diagonal matrix at each odd time interval of unit length. The Cauchy matrix is the rotation matrix at each odd time interval, whereas the angle is the sum of a parameter value and some real number. Earlier, it has been has proved that the upper Lyapunov exponent of each such a system, which is considered to be the function of parameter, is positive on the set of the positive Lebesque measure if the diagonal part of the coefficien

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Melbourne, Ian. "Versal unfoldings of equivariant linear Hamiltonian vector fields." Mathematical Proceedings of the Cambridge Philosophical Society 114, no. 3 (1993): 559–73. http://dx.doi.org/10.1017/s0305004100071826.

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AbstractWe prove an equivariant version of Galin's theorem on versal deformations of infinitesimally symplectic matrices. Matrix families of codimension zero and one are classified, and the results are used to study the movement of eigenvalues in one parameter families.

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He, Zhongwei, and Wei Xie. "State estimation for a class of Linear Parameter-Varying systems with parametric uncertainties." Transactions of the Institute of Measurement and Control 42, no. 15 (2020): 3035–42. http://dx.doi.org/10.1177/0142331220940201.

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This paper is concerned with interval state estimation for a class of Linear Parameter-Varying systems with parametric uncertainties. Firstly, sufficient conditions to guarantee both the cooperativity and stability of observation error dynamics are presented in terms of parameterized matrix inequality formulations. Secondly, a novel method for scheduled controller law design is proposed in the framework of interval observer design. Under the assumptions that scheduled parameters have a polytopic structure property, the problems of the existence conditions of observers and scheduled controller

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Yotha, Narongsak, and Kanit Mukdasai. "New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays." Discrete Dynamics in Nature and Society 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/929725.

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This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

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Qian, Shou Yi, and Li Xie. "Robust Exponential Stability Analysis for Interval Neural Networks with Time Delay." Applied Mechanics and Materials 58-60 (June 2011): 2597–601. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.2597.

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The problem of robust exponential stability analysis for nonlinear uncertain interval neural networks with time delay is investigated. The nonlinear uncertainties are assumed to satisfy the cone constraint conditions. The interval parameters of the neural networks are equivalent to norm matched parameter uncertainties via some matrix transformations. The stable criteria for the uncertain interval neural networks with time delays are developed by use of the Lyapunov stability theory. All the stability conditions in this paper are presented in terms of linear matrix inequalities.

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Elloumi, Wafa, Driss Mehdi, and Mohamed Chaabane. "Robust Controlled Positive Delayed Systems with Interval Parameter Uncertainties: A Delay Uniform Decomposition Approach." International Journal of Applied Mathematics and Computer Science 28, no. 3 (2018): 441–50. http://dx.doi.org/10.2478/amcs-2018-0033.

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Abstract This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov-Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of lin

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Ratchagit, Kreangkri. "A SWITCHING RULE FOR THE ASYMPTOTIC STABILITY OF DISCRETE-TIME SYSTEMS WITH CONVEX POLYTOPIC UNCERTAINTIES." Asian-European Journal of Mathematics 05, no. 02 (2012): 1250025. http://dx.doi.org/10.1142/s1793557112500258.

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This paper addresses the stability for a class of linear delay-difference equations with interval time-varying delays. Based on the parameter-dependent Lyapunov–Krasovskii functional, new delay-dependent conditions for the stability are established in terms of linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of our results.

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Bhrawy, A. H., D. Baleanu, L. M. Assas, and J. A. Tenreiro Machado. "On a Generalized Laguerre Operational Matrix of Fractional Integration." Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/569286.

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A new operational matrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived. The fractional integration is described in the Riemann-Liouville sense. This operational matrix is applied together with generalized Laguerre tau method for solving general linear multiterm fractional differential equations (FDEs). The method has the advantage of obtaining the solution in terms of the generalized Laguerre parameter. In addition, only a small dimension of generalized Laguerre operational matrix is needed to obtain a satisfactory result. Illustrative examples re

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Somchai, Pornthip, and Kanit Mukdasai. "New delay-range-dependent robust exponential stability criteria for uncertain linear systems with discrete interval and distributed time-varying delays and nonlinear perturbations." Asian-European Journal of Mathematics 08, no. 03 (2015): 1550061. http://dx.doi.org/10.1142/s1793557115500618.

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In this paper, we investigate the problem of robust exponential stability analysis for uncertain linear systems with discrete interval time-varying delay, distributed time-varying delay and nonlinear perturbations. Based on constructing an augmented Lyapunov–Krasovskii functional with some parameter, decomposition technique of coefficient matrix, mixed model transformation with Leibniz–Newton formula and utilization of zero equations, new delay-range-dependent robust exponential stability criteria are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to show t

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Park, M. J., O. M. Kwon, Ju H. Park, S. M. Lee та E. J. Cha. "ℋ∞Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties". Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/821086.

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This paper deals with the problems ofℋ∞performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

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Dissertations / Theses on the topic "Linear interval parameter matrix families"

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Huang, Hsun-Hsuan. "Controller Design for Stability and Rollover Prevention of Multi-body Ground Vehicles with Uncertain Dynamics and Faults." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1253631414.

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Conference papers on the topic "Linear interval parameter matrix families"

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Yedavalli, Rama K. "A new, convexity based, necessary and sufficient vertex solution for robust stability check of linear interval parameter matrix families." In 2015 American Control Conference (ACC). IEEE, 2015. http://dx.doi.org/10.1109/acc.2015.7171988.

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Yedavalli, Rama K. "Robust stability of linear interval parameter matrix family problem revisited with accurate representation and solution." In 2009 American Control Conference. IEEE, 2009. http://dx.doi.org/10.1109/acc.2009.5160478.

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Lee, Lawton H., and Kameshwar Poolla. "Identifiability Issues for Parameter-Varying and Multidimensional Linear Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4240.

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Abstract This paper considers the identifiability of state space models for a system that is expressed as a linear fractional transformation (LFT): a constant matrix (containing identified parameters) in feedback with a finite-dimensional, block-diagonal (“structured”) linear operator. This model structure can represent linear time-invariant, linear parameter-varying, uncertain, and multidimensional systems. Families of input-output equivalent realizations are characterized as manifolds in the parameter space whose tangent spaces — and orthogonal complements — can be obtained via singular valu

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Notash, Leila. "Solutions of Interval Systems for Under-Constrained and Redundant Parallel Manipulators." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67091.

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For under-constrained and redundant parallel manipulators, the actuator inputs are studied with bounded variations in parameters and data. Problem is formulated within the context of force analysis. Discrete and analytical methods for interval linear systems are presented, categorized and implemented to identify the solution set, as well as the minimum 2-norm least square solution set. The notions of parameter dependency and solution subsets are considered. The hyperplanes that bound the solution in each orthant characterize the solution set of manipulators. While the parameterized form of the

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Peterson, Eric D., and Harry G. Kwatny. "Multi-Model Adaptive Regulation for Aircraft Dynamics With Different Zero Structures." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6047.

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An adaptive regulator is designed for parameter dependent families of systems subject to changes in the zero structure. Since continuous adaptive regulation is limited by relative degree and right half plane zeros, a multiple model adaptive regulator is implemented. The two multiple model design subproblems, covering and switching, are addressed with LQR state feedback and Lyapunov function switch logic respectively. These two subproblems are combined into a set of Linear Matrix Inequalities (LMI) and concurrently solved. The multiple model design method is applied to longitudinal aircraft dyn

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