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Kaczorek, Tadeusz

The choice of the forms of Lyapunov functions for a positive 2D Roesser model. (English) Zbl 1234.93089

Int. J. Appl. Math. Comput. Sci. 17, No. 4, 471-475 (2007).
Summary: 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 \(A^TPA-P\) is negative definite. The theoretical deliberations will be illustrated by numerical examples.

Cited in 36 Documents

MSC:

93D20 Asymptotic stability in control theory
93D30 Lyapunov and storage functions
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory

Keywords:

Lyapunov function; positive 2D Roesser model; asymptotic stability
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\textit{T. Kaczorek}, Int. J. Appl. Math. Comput. Sci. 17, No. 4, 471--475 (2007; Zbl 1234.93089)
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References:

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