Results 1 to 10 of about 4,419,275 (304)
On $\Psi$-stability of nonlinear Lyapunov matrix differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
Aurel Diamandescu
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$\Psi$-bounded solutions for a Lyapunov matrix differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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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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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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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 the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 It is proved (necessary and) sufficient conditions for Ψ − conditional asymptotic stability of the trivial solution of linear or nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
Advances in Difference Equations, 2021 In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
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An iterative algorithm for discrete Lyapunov matrix equations
IET Control Theory & Applications, 2021 In this paper, an iterative algorithm is established to solve discrete Lyapunov matrix equations. In this algorithm, a tuning parameter is introduced such that the iterative solution can be updated by using a combination of the information in the last ...
Ai‐Guo Wu +3 more
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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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Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
Mathematics, 2022 In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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