An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
Joanna Kowynia (2005)
Control and Cybernetics
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Displaying similar documents to “Stability of a model for the Belousov-Zhabotinskij reaction”
An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
Unconditional stability of difference formulas
Tomáš Roubíček (1983)
Aplikace matematiky
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The paper concerns the solution of partial differential equations of evolution type by the finite difference method. The author discusses the general assumptions on the original equation as well as its discretization, which guarantee that the difference scheme is unconditionally stable, i.e. stable without any stability condition for the time-step. A new notion of the -acceptability of the integration formula is introduced and examples of such formulas are given. The results can be...
The Lyapunov stability of the Timoshenko type equation
Jaroslav Barták (1976)
Časopis pro pěstování matematiky
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A review of the matrix Riccati equation
Vladimír Kučera (1973)
Kybernetika
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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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The choice of the forms of Lyapunov functions for a positive 2D Roesser model
Tadeusz Kaczorek (2007)
International Journal of Applied Mathematics and Computer Science
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The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix A^{T}PA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.