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A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems

✍ Scribed by Guoping Lu; Daniel W.C. Ho; Lei Zhou

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
247 KB
Volume
47
Category
Article
ISSN
0005-1098

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✦ Synopsis

This paper addresses the existence and uniqueness of a solution and stability for Lipschitz discrete-time descriptor systems. By means of the fixed point principle, a criterion is presented via a matrix inequality, and the criterion guarantees the existence and uniqueness of a solution. In addition, a sufficient condition is also presented to ensure that the solution exists for any compatible initial condition and the system is globally exponentially stable simultaneously. It is shown that the criterion presented in this paper is easy to verify and independent of the choices of decomposition matrices for the given system. Finally, the approach is illustrated by a numerical example.

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A note on the stability of uncertain tim
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✍ Yeong-Jeu Sun; Jer-Guang Hsieh πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 386 KB

In this note, new criteria for the global asymptotic stability and the global exponential stability of a class of uncertain time-lag systems with time-varying delays are proposed. A numerical example is given to illustrate our main results.