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Relevant bibliographies by topics / Singular systems

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Academic literature on the topic 'Singular systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 June 2025

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Journal articles on the topic "Singular systems"

1

Zagalak, Petr. "Singular control systems." Automatica 28, no. 3 (1992): 649–50. http://dx.doi.org/10.1016/0005-1098(92)90193-j.

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Morales, C. A., M. J. Pacifico, and E. R. Pujals. "Singular hyperbolic systems." Proceedings of the American Mathematical Society 127, no. 11 (1999): 3393–401. http://dx.doi.org/10.1090/s0002-9939-99-04936-9.

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Fang, Qingxiang, Baolin Zhang, and Jun-e. Feng. "Singular LQ Problem for Irregular Singular Systems." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/853415.

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This paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state and restricted state and the input is decomposed into free input and forced input. Some sufficient conditions for the unique existence of optimal control-state pair are derived and these conditions are all described unitedly with matrix rank equalities. The optimal control-state pair can be explicitly formulated via solving an algebraic Riccati equation and a Sylvester equation. Moreover, under the optimal control-state pair, the resulting system has no free state.

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Akram, M. S., V. Lomadze, H. Mahmood, and M. K. Zafar. "(Singular) state models and (singular) LTID systems." International Journal of Control 87, no. 3 (2013): 567–80. http://dx.doi.org/10.1080/00207179.2013.849819.

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Glizer, Valery Y. "Stability Analysis of Some Types of Singularly Perturbed Time-Delay Differential Systems: Symmetric Matrix Riccati Equation Approach." Symmetry 16, no. 7 (2024): 838. http://dx.doi.org/10.3390/sym16070838.

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Several types of linear and nonlinear singularly perturbed time-delay differential systems are considered. Asymptotic stability of the linear systems and asymptotic stability of the trivial solution of the nonlinear systems, valid for any sufficiently small value of the parameter of singular perturbation, are analyzed. For the stability analysis in the linear case, a partial exact slow–fast decomposition of the original system and an application of the Symmetric Matrix Riccati Equation method are proposed. Such an analysis yields parameter-free conditions, providing the asymptotic stability of the considered linear singularly perturbed time-delay differential systems for any sufficiently small value of the parameter of singular perturbation. Using the asymptotic stability results for the considered linear systems and the method of asymptotic stability in the first approximation, parameter-free conditions, guaranteeing the asymptotic stability of the trivial solution to the considered nonlinear systems for any sufficiently small value of the parameter of singular perturbation, are derived. Illustrative examples are presented.

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Tolsa, Javier, and Miquel Salichs. "Convergence of singular perturbations in singular linear systems." Linear Algebra and its Applications 251 (January 1997): 105–43. http://dx.doi.org/10.1016/0024-3795(95)00556-0.

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Tan, S., and J. Vandewalle. "Inversion of singular systems." IEEE Transactions on Circuits and Systems 35, no. 5 (1988): 583–87. http://dx.doi.org/10.1109/31.1788.

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Steinberg, Stanly L., Janaı́na P. Zingano, and Paulo R. Zingano. "On nilpotent singular systems." Journal of Computational and Applied Mathematics 137, no. 1 (2001): 97–107. http://dx.doi.org/10.1016/s0377-0427(00)00701-9.

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Paraskevopoulos, P. N., and F. N. Koumboulis. "Observers for singular systems." IEEE Transactions on Automatic Control 37, no. 8 (1992): 1211–15. http://dx.doi.org/10.1109/9.151109.

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Trzaska, Z., and W. Marszalek. "Singular distributed parameter systems." IEE Proceedings D Control Theory and Applications 140, no. 5 (1993): 305. http://dx.doi.org/10.1049/ip-d.1993.0040.

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Dissertations / Theses on the topic "Singular systems"

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Beauchamp, Gerson. "Algorithms for singular systems." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/15368.

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Giffen, Alice. "Singular structure of CMG systems." Thesis, University of Surrey, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531405.

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Battaglia, Luca. "Variational aspects of singular Liouville systems." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4857.

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I studied singular Liouville systems on compact surfaces from a variational point of view. I gave sufficient and necessary conditions for the existence of globally minimizing solutions, then I found min-max solutions for some particular systems. Finally, I also gave some non-existence results.

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Feng, Zhiguang, and 冯志光. "Dissipative control and filtering of singular systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50899612.

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This thesis is concerned with the dissipative control and filtering problems of singular systems. Four classes of singular systems are considered: delay-free singular systems, singular systems with constant time-delay, uncertain singular systems with time-varying delay and sensor failures, and singular Markovian jump systems with actuator failures. For delay-free singular systems, the system augmentation approach is employed to study the dissipative control and filtering problems. First, the approach is used to solve the dissipative control problem by static output-feedback for standard state-space systems which are the special cases of singular systems. For a continuous-time standard state-space system, the closed-loop system is represented in an augmented system form. Based on the augmented system, a necessary and sufficient dissipativity condition is proposed, which decouples the Lyapunov matrix and controller matrix. To further separate the Lyapunov matrix and the system matrices, an equivalent condition is obtained by introducing some slack matrices. Then, a necessary and sufficient condition for the existence of a static output-feedback controller is proposed, and an iterative algorithm is given to solve the condition. For discrete-time singular systems, by giving an equivalent representation of the solution set, a necessary and sufficient dissipativity condition is proposed in terms of strict linear matrix inequality (LMI) which can be easily solved by standard commercial software. Then a state-feedback controller design method is given based on the augmentation system approach. The method is extended to the static output-feedback control problem and the reduced-order dissipative filtering problem. For continuous-time singular time-delay systems, the problem of state-feedback dissipative control is considered. An improved delay-dependent dissipativity condition in terms of LMIs is established by employing the delay-partitioning technique, which guarantees a singular system to be admissible and dissipative. Based on this, a delay-dependent sufficient condition for the existence of a state-feedback controller is proposed to guarantee the admissibility and dissipativity of the closed-loop system. In addition to delay-dependence, the obtained results are also dependent on the level of dissipativity. Moreover, the results obtained unify existing results on H∞ performance analysis and passivity analysis for singular systems. For discrete-time singular systems with polytopic uncertainties, time-varying delay and sensor failures, the problem of robust reliable dissipative filtering is considered. The filter is designed by the reciprocally convex approach such that the filtering error singular system is admissible and strictly (Q, S, R)-dissipative. For singular systems with time-varying delay and sensor failures, a sufficient condition of reliable dissipative analysis is obtained in terms of LMIs. Then the result is extended to the uncertain case by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices. Moreover, a desired filter for uncertain singular systems with time-varying delay and sensor failures is obtained by solving a set of LMIs. For continuous-time singular Markovian jump systems with actuator failures, the problem of reliable dissipative control is addressed. Attention is focused on the state-feedback controller design method such that the closed-loop system is admissible and strictly (Q, S, R)-dissipative. A sufficient condition is obtained in terms of strict LMIs. Moreover, the results obtained unify existing results on H∞control and passive control on singular Markovian jump systems.<br>published_or_final_version<br>Mechanical Engineering<br>Doctoral<br>Doctor of Philosophy

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Fragkoulis, Vasileios C. "Random vibration of systems with singular matrices." Thesis, University of Liverpool, 2017. http://livrepository.liverpool.ac.uk/3011357/.

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In the area of stochastic engineering dynamics, a flourishing field of research has been connected to assessing the reliability of systems subjected to stochastic excitations. In particular, the development of analytical and numerical methodologies for the response statistics determination of multi-degree-of-freedom (MDOF) systems with potentially singular matrices are of high interest. These singular matrices can appear naturally in the systems governing equations of motion, for instance due to coupling of electro-mechanical equations in energy harvesting applications, or they are related to FEM modeling; they also appear due to a redundant degrees-of-freedom (DOF) modeling of the systems equation of motion. In the later case, for reasons pertaining to a less labor intensive formulation of the systems governing equations of motion, especially in case of large-scale MDOF systems, and/or from a computational efficiency perspective, the system governing equations of motion are derived by utilizing a redundant DOFs modeling. This results in equations of motion with singular mass, damping and stiffness matrices. Taking also into account that the classical state and frequency domain analysis methodologies for deriving the system stochastic response, have been developed ad hoc for the case of systems with non-singular matrices, the necessity for developing a framework for treating systems with singular matrices arises. A novel Moore-Penrose (M-P) generalized matrix inverse based framework is developed for circumventing the difficulties arising from the redundant DOFs modeling of the systems governing equations of motion. The standard time and frequency domain analysis treatments have been extended to account for linear systems with singular matrices. A M-P based solution framework for the systems mean vector and covariance matrix is determined, first by solving the equations derived after the application of the standard state-variable formulation. By following a frequency domain analysis the corresponding mean vector and covariance matrices are derived. In the latter case, a M-P based expression is obtained for the system frequency response function (FRF) matrix, and subsequently utilizing the relationship that connects the impulse response function of the system excitation to the corresponding of its response, a M-P solution for the system response power spectrum is derived. Next, the classical statistical linearization approximate methodology is generalized to account for nonlinear systems with singular matrices. Adopting a redundant DOFs modeling for the derivation of the systems governing equations of motion, and relying on the concept of the M-P generalized matrix inverse, the extended time and frequency domain analysis treatment are applied for deriving the response statistics of systems subjected to stochastic excitations. Working on the time domain, a family of optimal and response dependent equivalent linear matrices is derived. Extending a classical excitation-response relationship of the random vibration theory, and taking into account the aforementioned family of matrices, results in an iterative determination of the system response mean vector and covariance matrix. It is proved that setting the arbitrary element in the M-P solution for the equivalent linear matrices equal to zero yields a mean square error at least as low as the error corresponding to any non-zero value of the arbitrary element. The M-P based frequency domain analysis treatment also yields an iterative determination of the system response mean vector and covariance matrix. The generalization of a widely utilized formula that facilitates the application of statistical linearization is also given.

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Osmanli, Osman Nuri. "A Singular Value Decomposition Approach For Recommendation Systems." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612129/index.pdf.

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Data analysis has become a very important area for both companies and researchers as a consequence of the technological developments in recent years. Companies are trying to increase their profit by analyzing the existing data about their customers and making decisions for the future according to the results of these analyses. Parallel to the need of companies, researchers are investigating different methodologies to analyze data more accurately with high performance. Recommender systems are one of the most popular and widespread data analysis tools. A recommender system applies knowledge discovery techniques to the existing data and makes personalized product recommendations during live customer interaction. However, the huge growth of customers and products especially on the internet, poses some challenges for recommender systems, producing high quality recommendations and performing millions of recommendations per second. In order to improve the performance of recommender systems, researchers have proposed many different methods. Singular Value Decomposition (SVD) technique based on dimension reduction is one of these methods which produces high quality recommendations, but has to undergo very expensive matrix calculations. In this thesis, we propose and experimentally validate some contributions to SVD technique which are based on the user and the item categorization. Besides, we adopt tags to classical 2D (User-Item) SVD technique and report the results of experiments. Results are promising to make more accurate and scalable recommender systems.

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Jones, E. R. Ll. "The general pole placement problem in singular systems." Thesis, Loughborough University, 1991. https://dspace.lboro.ac.uk/2134/31932.

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Over the last decade infinite poles and zeros have been recognised as having fundamental relevance to the analysis of the dynamical behaviour of a system. Indeed even the classical theory of characteristic root loci alludes to the existence of infinite zeros without defining them as such whilst the significance of the infinite poles has more recently emerged in the study of non-proper systems.

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Ash, Joshua N. "On singular estimation problems in sensor localization systems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1196221762.

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Heck, Bonnie S. "On singular perturbation theory for piecewise-linear systems." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/15054.

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Hsu, Ting-Hao. "A Geometric Singular Perturbation Theory Approach to Viscous Singular Shocks Profiles for Systems of Conservation Laws." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1437144893.

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Books on the topic "Singular systems"

1

Dai, Liyi, ed. Singular Control Systems. Springer-Verlag, 1989. http://dx.doi.org/10.1007/bfb0002475.

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Beauchamp, Gerson. Algorithms for singular systems. UMI Dissertation Services, 1997.

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Lions, Jacques Louis. Control of distributed singular systems. Gauthier-Villars, 1985.

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Gikō, Ikegami, ed. Dynamical systems and singular phenomena. World Scientific, 1987.

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Lions, Jacques Louis. Control of distributed singular systems. Trans-Inter-Scientia, 1985.

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Ambrosetti, Antonio, and Vittorio Coti Zelati. Periodic Solutions of Singular Lagrangian Systems. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0319-3.

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Jurdjevic, Velimir. Linear systems with singular quadratic cost. Dept. of Mathematics, University of Toronto, 1990.

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Ambrosetti, A. Periodic solutions of singular Lagrangian systems. Birkhäuser, 1993.

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V, Kokotović Petar, Khalil Hassan K. 1950-, and IEEE Control Systems Society, eds. Singular perturbations in systems and control. IEEE Press, 1986.

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Yang, Chunyu. Stability Analysis and Design for Nonlinear Singular Systems. Springer Berlin Heidelberg, 2013.

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Book chapters on the topic "Singular systems"

1

Shchepakina, Elena, Vladimir Sobolev, and Michael P. Mortell. "Singular Singularly Perturbed Systems." In Lecture Notes in Mathematics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09570-7_5.

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Krupková, Olga. "Singular Lagrangean systems." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093445.

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Chorowski, Michał, Tomasz Gubiec, and Ryszard Kutner. "Singular Stochastic Processes." In Understanding Complex Systems. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-80392-5_3.

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Ambrosetti, Antonio, and Vittorio Coti Zelati. "Singular Potentials." In Periodic Solutions of Singular Lagrangian Systems. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0319-3_2.

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Locatelli, Arturo. "Singular Arcs." In Studies in Systems, Decision and Control. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42126-1_11.

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Jones, Christopher K. R. T. "Geometric singular perturbation theory." In Dynamical Systems. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095239.

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Zhang, Yanchun, and Guandong Xu. "Singular Value Decomposition." In Encyclopedia of Database Systems. Springer New York, 2016. http://dx.doi.org/10.1007/978-1-4899-7993-3_538-2.

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Zhang, Yanchun, and Guandong Xu. "Singular Value Decomposition." In Encyclopedia of Database Systems. Springer US, 2009. http://dx.doi.org/10.1007/978-0-387-39940-9_538.

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Zhang, Yanchun, and Guandong Xu. "Singular Value Decomposition." In Encyclopedia of Database Systems. Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4614-8265-9_538.

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Alefeld, Götz, and Günter Mayer. "On Singular Interval Systems." In Numerical Software with Result Verification. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24738-8_10.

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Conference papers on the topic "Singular systems"

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Shafiee, Masoud. "Optimal Control for Rectangular Singular Systems." In 2024 32nd International Conference on Electrical Engineering (ICEE). IEEE, 2024. http://dx.doi.org/10.1109/icee63041.2024.10667828.

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Zhang, Wanhong, Xiaoyan Wang, Shuaifei Zhou, and Yiheng Xie. "Controllability Analysis of Singular Heterogeneous Networked Systems." In 2024 IEEE International Conference on Control Science and Systems Engineering (ICCSSE). IEEE, 2024. https://doi.org/10.1109/iccsse63803.2024.10823746.

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Gikiō, Ikegami. "DYNAMICAL SYSTEMS AND SINGULAR PHENOMENA." In Symposium on Dynamical Systems and Singular Phenomena. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789814542241.

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Stetter, Hans J., and Günther H. Thallinger. "Singular systems of polynomials." In the 1998 international symposium. ACM Press, 1998. http://dx.doi.org/10.1145/281508.281525.

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Clotet, Josep, Josep Ferrer, and M. Dolors Magret. "Switched singular linear systems." In 2009 17th Mediterranean Conference on Control and Automation (MED). IEEE, 2009. http://dx.doi.org/10.1109/med.2009.5164733.

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Li, Jiangrong, Huayang Zhang, Zhiguang Feng, Juan Shi, and Liang Zhang. "Dissipative Filtering of Singular Interval Type-2 Fuzzy Singular Systems." In 2018 5th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS). IEEE, 2018. http://dx.doi.org/10.1109/iccss.2018.8572329.

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Jing, Ma, and Gao Zhiwei. "Simultaneous Stabilization for Singular Systems." In 2007 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.4347415.

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Ying Wang, Shuqian Zhu, and Zhaolin Cheng. "Disturbance decoupling for singular systems." In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). IEEE, 2004. http://dx.doi.org/10.1109/cdc.2004.1428857.

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Christodoulou, M., and B. Mertzios. "Canonical forms for singular systems." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267442.

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Tan, Shaohua, and Joos Vandewalle. "Canonical forms for singular systems." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267443.

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Reports on the topic "Singular systems"

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Mickens, Ronald E. Nonlinear, Singular Oscillatory Systems. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada244724.

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Campbell, Stephen L., and Kevin D. Yeomans. Solving Singular Systems Using Orthogonal Functions. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada190881.

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Meza, Juan C., and W. W. Symes. Deflated Krylov Subspace Methods for Nearly Singular Linear Systems. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada455101.

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Kushner, Harold J., and R. M. Ramachandran. Nearly Optimal Singular Controls for Wideband Noise Driven Systems. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada186682.

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Bahri, Abbas, and Paul H. Rabinowitz. A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada193478.

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Willsky, Alan S., and George C. Verghese. Analysis, Estimation, and Control for Perturbed and Singular Systems and for Systems Subject to Discrete Events. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada188496.

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Willsky, Alan S., and George C. Verghese. Analysis, Estimation, and Control for Perturbed and Singular Systems and for Systems Subject to Discrete Events. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada459505.

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Schachner, Abby, Cathy Yun, Hann Melnick, and Jessica Barajas. Coaching at scale: A strategy for strengthening the early learning workforce. Learning Policy Institute, 2024. http://dx.doi.org/10.54300/984.909.

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This report examines five early childhood coaching systems—two state systems (Alabama and Washington) and three California county systems (El Dorado, Fresno, and San Diego)—that have developed systemic coaching approaches. We studied these coaching systems to understand the different ways that comprehensive coaching systems can be implemented at scale, the types of coaching approaches used, and the supports offered. Although there is no singular strategy to scale effective coaching, this research provides insights for policymakers and program administrators seeking to incorporate coaching into their efforts to improve the quality of early childhood education.

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Emiliano, Diaz, and Jaspreet Singh. From linear insights to systemic solutions: the future of behavioral science. Busara, 2024. https://doi.org/10.62372/cesi7494.

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Behavioral Science has traditionally focused on understanding and influencing human behavior by identifying factors driving specific and directly related decisions. This linear approach, simplifies complex scenarios into isolated variables, and has provided the foundational insights for developing targeted interventions. While this perspective has proven effective in many cases, it may only sometimes fully capture the broader context in which behaviors occur, as a linear understanding alone is insufficient to grasp the complexities of human behavior fully. It misses important considerations like ripple effects and second-order effects. This is where systems thinking emerges as a valuable complement to applied behavioral science. By shifting from a singular, cause-and-effect perspective to a multi-layered, multidimensional approach, systems thinking allows us to see behavior not as an isolated event but as part of a broader system influenced by many interconnected factors that interact in dynamic and often unpredictable ways.

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Blaxter, Tamsin, and Tara Garnett. Primed for power: a short cultural history of protein. TABLE, 2022. http://dx.doi.org/10.56661/ba271ef5.

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Protein has a singularly prominent place in discussions about food. It symbolises fitness, strength and masculinity, motherhood and care. It is the preferred macronutrient of affluence and education, the mark of a conscientious diet in wealthy countries and of wealth and success elsewhere. Through its association with livestock it stands for pastoral beauty and tradition. It is the high-tech food of science fiction, and in discussions of changing agricultural systems it is the pivotal nutrient around which good and bad futures revolve. There is no denying that we need protein and that engaging with how we produce and consume it is a crucial part of our response to the environmental crises. But discussions of these issues are affected by their cultural context—shaped by the power of protein. Given this, we argue that it is vital to map that cultural power and understand its origins. This paper explores the history of nutritional science and international development in the Global North with a focus on describing how protein gained its cultural meanings. Starting in the first half of the 19th century and running until the mid-1970s, it covers two previous periods when protein rose to singular prominence in food discourse: in the nutritional science of the late-19th century, and in international development in the post-war era. Many parallels emerge, both between these two eras and in comparison with the present day. We hope that this will help to illuminate where and why the symbolism and story of protein outpace the science—and so feed more nuanced dialogue about the future of food.

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