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On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems
Advances in Fuzzy Systems, 2008 We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of
M. S. N. Murty, G. Suresh Kumar
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On $\Psi$-bounded solutions for non-homogeneous matrix Lyapunov systems on $\mathbb{R}$
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we provide necesssary and sufficient conditions for the existence of at least one $\Psi$-bounded solution on $\mathbb{R}$ for the system $X'=A(t)X +XB(t)+F(t)$, where $F(t)$ is a Lebesgue $\Psi$-integrable matrix valued function on ...
M. S. N. Murty, Grande Suresh Kumar
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CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS [PDF]
Bulletin of the Korean Mathematical Society, 2006 This paper presents necessary and su-cient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.
M. Murty, B. V. A. Rao, G. S. Kumar
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ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS
Demonstratio Mathematica, 2009 We prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.
M. Murty +3 more
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On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems
Annals of West University of Timisoara - Mathematics, 2013 In this paper, we provide a way to combine matrix Lyapunov systems with fuzzy sets to form a new system called fuzzy dynamical matrix Lyapunov system and obtain a suffcient condition for the controllability of this system.
M. Murty +3 more
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On Observability of Fuzzy Dynamical Matrix Lyapunov Systems
Kyungpook mathematical journal, 2008 Abstract. In this paper we generate a fuzzy dynamical matrix Lyapunov system andobtain a sufficient condition for the observability of this system. 1. IntroductionThe importance of control theory in Applied mathematics and its occurrencein several problems such as mechanics, electromagnetic theory, thermodynamics,artificial satellites etc., are well known.
M. Murty, G. S. Kumar
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Controllability of semilinear matrix Lyapunov systems
Electronic Journal of Differential Equations, 2013 In this article, we establish some sufficient conditions for the complete controllability of semilinear matrix Lyapunov systems involving Lipschitzian and non-Lipschitzian nonlinearities.
Bhaskar Dubey, Raju K. George
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The delay Lyapunov matrix in robust stability analysis of time-delay systems
IFAC-PapersOnLine, 2015 The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases
A. Egorov, S. Mondié
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Ψ -asymptotic stability of non-linear matrix Lyapunov systems
Journal of Nonlinear Sciences and Applications, 2012 M. Murty, G. S. Kumar
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Lyapunov stability tests for linear time-delay systems [PDF]
Annual Reviews in Control, 2022 An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays.
Sabine Mondi'e, A. Egorov, M. A. Gómez
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