The choice of the forms of Lyapunov functions for a positive 2D Roesser model

• Autorzy: Tadeusz Kaczorek
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

asymptotic stability; positive 2D Roesser model; Lyapunov function

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 4
• Strony: 471-475

Daty

wydano

2007

(nieznana)

2006-12-15

otrzymano

2007-06-25

poprawiono

2007-07-30

Twórcy

autor

Tadeusz Kaczorek

• Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa75, 00-0663 Warsaw, Poland

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