Analysis of stability problems via matrix Lyapunov functions.
Martynyuk, Anatoly A. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Stability analysis of nonlinear Lyapunov systems associated with an th order system of matrix differential equations.”
Analysis of stability problems via matrix Lyapunov functions.
Matrix measure and application to stability of matrices and interval dynamical systems.
Zahreddine, Ziad (2003)
International Journal of Mathematics and Mathematical Sciences
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Stability of a class of adaptive nonlinear systems
Andrzej Dzielinski (2005)
International Journal of Applied Mathematics and Computer Science
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This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class...
Upper bounds for the abscissa of stability of a stable matrix
S. Białas (1984)
Applicationes Mathematicae
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On sufficient conditions for the stability of dynamic interval systems
Karel Sladký (1994)
Kybernetika
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On the stability of solutions of linear differential systems with slowly varying coefficients
Charles S. Kahane (1992)
Czechoslovak Mathematical Journal
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The -stability problem for real matrices
Serkan T. Impram, Russell Johnson, Raffaella Pavani (2005)
Archivum Mathematicum
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We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.