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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Displaying similar documents to “On -stability of nonlinear Lyapunov matrix differential equations.”
Matrix measure and application to stability of matrices and interval dynamical systems.
Stability of solutions of a nonstandard ordinary differential system by Lyapunov's second method.
Venkatesulu, M., Srinivasu, P.D.N. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Stability analysis of nonlinear Lyapunov systems associated with an th order system of matrix differential equations.
Murty, K. N., Shaw, Michael D. (2002)
Journal of Applied Mathematics and Stochastic Analysis
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Upper bounds for the abscissa of stability of a stable matrix
S. Białas (1984)
Applicationes Mathematicae
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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.
Existence of -bounded solutions for nonhomogeneous Lyapunov matrix differential equations on .
Diamandescu, A. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Generalized practical stability analysis of discontinuous dynamical systems
Guisheng Zhai, Anthony Michel (2004)
International Journal of Applied Mathematics and Computer Science
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In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability)...
-matrices and Lyapunov scalar stability.
Hershkowitz, Daniel, Mashal, Nira (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On -bounded solutions for non-homogeneous matrix Lyapunov systems on .
Murty, M.S.N., Kumar, G.Suresh (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Generalized practical stability results by perturbing Lyapunov functions.
Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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