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On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems [PDF]
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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Controllability of semilinear matrix Lyapunov systems [PDF]
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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ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS
Demonstratio Mathematica, 2009 AbstractWe 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.
Murty, M. S. N. +3 more
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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.S.N. Murty +2 more
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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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IEEE Access, 2020 In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li +3 more
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Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
Atmosphere, 2023 In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
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IET Control Theory & Applications, 2021 This paper addresses the problem of H∞ filtering for non‐linear systems with time‐varying delay via the interval type‐2 (IT2) fuzzy model and the membership‐function‐dependent approach.
Guangtao Ran, Chuanjiang Li
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Stability analysis of 2‐D discrete and continuous state‐space systems
IET Control Theory & Applications, 2022 This paper presents new stability conditions for two‐dimensional (2‐D) systems in state‐space description. Both discrete and continuous systems are studied.
Apostolos Kanellakis +2 more
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On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems
Annals of West University of Timisoara - Mathematics, 2013 Summary: 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.
Murty, M. S. N. +3 more
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