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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 the fuzzy dynamical matrix Lyapunov system and provide a sufficient condition for its ...
M. S. N. Murty, G. 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.S.N. Murty +2 more
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Controllability of semilinear matrix Lyapunov systems
Electronic Journal of Differential Equations, 2013 Summary: In this article, we establish some sufficient conditions for the complete controllability of semilinear matrix Lyapunov systems involving Lipschitzian and non-Lipschitzian nonlinearities. In case of non-Lipschitzian nonlinearities, we assume that nonlinearities are of monotone type.
Bhaskar Dubey, Raju K. George
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Stability conditions for time delay systems in terms of the Lyapunov matrix
IFAC-PapersOnLine, 2018 Abstract An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof strategies are outlined in the retarded type case. The state of the art and potential extensions to other classes of delay systems are discussed.
Sabine Mondie +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 Summary: We provide necessary 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 \(\mathbb{R}\). Further, we prove a result relating to the asymptotic behavior of the \(\Psi\)-bounded
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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