Results 1 to 10 of about 10,321,079 (247)
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
doaj +3 more sources
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
exaly +2 more sources
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
doaj +2 more sources
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
doaj +3 more sources
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.
Alexey Egorov +2 more
exaly +2 more sources
Qualitative Analysis of Nonlinear Systems by the Method of Matrix Lyapunov Functions
Rocky Mountain Journal of Mathematics, 1995 The author studies the system (1) \(x'= f(t, x)\) on a domain in \(\mathbb{R}^n\). He develops the notion of a matrix Lyapunov function as a natural generalization of ordinary scalar and vector Lyapunov functions. The main application is to give sufficient conditions for the asymptotic stability of the origin for a large class of equations which are ...
exaly +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source