Advances in Differential Equations and Control Processes
Volume 3, Issue 1, Pages 63 - 76
(February 2009)
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CONNECTIVE STABILITY OF SINGULAR LINEAR TIME-INVARIANT LARGE-SCALE DYNAMICAL
SYSTEMS WITH SELF-INTERACTION
Sun Shui-Ling (P. R. China) and Peng Ping (P. R. China)
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Abstract: The purpose of this paper is to discuss the connective stability of singular time-invariant large-scale dynamical systems with self-interaction by means of singular Lyapunov equations and vector Lyapunov functions. A stable domain of connective parameters is given in the paper which is simple in form. An example to illustrate usage and efficiency of the method is provided at the end. |
Keywords and phrases: singular system, large-scale dynamical systems, stability, connective stability, vector Lyapunov function. |
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