Results 231 to 240 of about 4,419,275 (304)

A note on the Lyapunov matrix equation

IEEE Transactions on Automatic Control, 1981
In [5] bound for the determinant of the solution to the Lyapunov matrix equation was reported. This note gives an another bound for this value.
N Fukuma, M Kuwahara
exaly   +2 more sources

On the Lyapunov matrix differential equation

IEEE Transactions on Automatic Control, 1986
A lower bound for the determinant of the solution to the Lyapunov matrix differential equation is derived. It is shown that this bound is obtained as a solution to a simple scalar differential equation. In the limiting case where the solution to the Lyapunov differential equation becomes stationary, the result reduces to one of the existing bounds for ...
N Fukuma, M Kuwahara
exaly   +3 more sources

An explicit solution to the generalized Lyapunov matrix inequality

Systems & Control Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mario Spirito, Daniele Astolfi
openaire   +2 more sources

On Stability and Stabilization of T–S Fuzzy Systems With Time-Varying Delays via Quadratic Fuzzy Lyapunov Matrix

IEEE transactions on fuzzy systems, 2022
This article proposes improved stability and stabilization criteria for Takagi–Sugeno (T–S) fuzzy systems with time-varying delays. First, a novel augmented fuzzy Lyapunov–Krasovskii functional (LKF) including the quadratic fuzzy Lyapunov matrix is ...
Gui-Ling Li, Chen Peng, Xiangpeng Xie, Shao-Rong Xie   +3 more
semanticscholar   +1 more source

Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
This article involves the problems of stabilization and guaranteed cost control for a class of delayed continuous-time nonlinear systems. The sufficient conditions for the existence of stabilization controllers and guaranteed cost controllers are ...
Xin Yang, Yan-Tao Wang, Xian Zhang
semanticscholar   +1 more source

Comments on "On the Lyapunov matrix equation"

IEEE Transactions on Automatic Control, 1975
The Lyapunov matrix equation A'Q + QA = - P is considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matrices Q and P provided A is a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.
Montemayor, J. J., Womack, Baxter F.
openaire   +2 more sources

A multi-step Smith-inner-outer iteration algorithm for solving coupled continuous Markovian jump Lyapunov matrix equations

Journal of the Franklin Institute, 2020
In this paper, combining the Smith method [30] with inner-outer (IO) iteration [4], a multi-step Smith-IO (MSIO) iteration algorithm for solving the Sylvester matrix equation and coupled Lyapunov matrix equations (CLMEs) is proposed.
Zhaolu Tian, Junxin Wang, Yinghui Dong, Zhong-Yun Liu   +3 more
semanticscholar   +1 more source

Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

at - Automatisierungstechnik, 2019
A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix.
Marco A. Gómez, A. Egorov, S. Mondié
semanticscholar   +1 more source

Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis

Systems & control letters (Print), 2019
A new procedure for computing the delay Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of a partial differential equations (PDE) system is presented.
Marco A. Gómez, A. Egorov, S. Mondié, A. Zhabko   +3 more
semanticscholar   +1 more source

Controllability of impulsive matrix Lyapunov systems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhaskar Dubey, Raju K. George
openaire   +3 more sources