Results 231 to 240 of about 8,061 (255)

Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions

Soviet Applied Mechanics, 1986
The paper is a development of the Lyapunov matrix function approach and motion stability analysis of the nonlinear systems presented earlier by the first author and M. Z. Djordjevic [e.g.: \textit{M. Z. Djordjevic}, Syst. Control Lett. 3, 165-169 (1983; Zbl 0511.93051); the first author, Prikl.
Martynyuk, A. A., Shegai, V. V.
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Novel Lyapunov–Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems

Applied Mathematics and Computation, 2018
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Wookyong Kwon, Baeyoung Koo, Sang-Moon Lee 0001   +2 more
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Krein Orthogonal Entire Matrix Functions and Related Lyapunov Equations: A State Space Approach

Integral Equations and Operator Theory, 2009
For a class of entire matrix valued functions of exponential type new necessary and sufficient conditions are derived in order that these functions are Krein orthogonal functions. The conditions are stated in terms of certain operator Lyapunov equations.
Kaashoek, M.A., Lerer, L., Margulis, M.
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Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey)

Soviet Applied Mechanics, 1991
Summary: This paper contains a generalized report of the results from development of the Lyapunov direct method on the basis of matrix-functions. Conditions for stability of systems of nonlinear differential equations, singular-disturbed systems, and hybride systems are obtained.
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Accelerated convergence of the matrix sign function method of solving Lyapunov, Riccati and other matrix equations

International Journal of Control, 1980
Abstract Applications of the matrix sign function to solving Lyapunov and Riccati equations and to other systems theory calculations are reviewed and the spectral implications of its definition discussed, Tho disadvantages of reduced order formulations are presented. Several theorems related to the mapping of eigenvalues under accelerated sign function
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Linear matrix inequalities for dissipative constraints in stabilization with relaxed non-monotonic Lyapunov function

2017 International Conference on Control, Automation and Information Sciences (ICCAIS), 2017
The state feedback design with a relaxed non-monotonic Lyapunov function in the discrete-time domain is developed in this work. Linear matrix inequalities are derived from both dissipation-based constraint and dissipation inequality for the closed-loop system. The dissipation-based constraint facilitates the stabilization with ΔV k  0 and decreasing (
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Conditions for the existence of a common quadratic Lyapunov function via stability analysis of matrix families

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
This paper presents a necessary and sufficient condition for the existence of a common quadratic Lyapunov function (CQLF) for two stable second order linear time invariant systems via the route of stability analysis of a convex combination of matrices. In a recent paper, it was noted that a necessary and sufficient condition for the existence of a CQLF
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Block-Diagonal Matrix-Valued Lyapunov Function and Stability of an Uncertain Impulsive System

International Applied Mechanics, 2004
The strict (not asymptotic) stability of a nonlinear impulsive system with uncertain parameters is analyzed. New sufficient stability conditions are established based on a block-diagonal matrix-valued function.
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Stability analysis for large scale time delay systems via the matrix Lyapunov function

Kybernetika, 1992
Summary: We analyze the stability of large-scale systems with multiple time delays in both isolated parts and interconnections via the scalar approach of the matrix Lyapunov function. This approach of the matrix Lyapunov function estimates the stability of a large-scale interconnected system based on a decomposition-aggregation method.
Soo R. Lee, Mo Jamshidi
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Asymptotic Stabilization Control of Fractional-Order Memristor-Based Neural Networks System via Combining Vector Lyapunov Function With M-Matrix

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2023
Zhe Zhang, Yaonan Wang, Hui Zhang
exaly