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On the stability of uncertain linear descriptor systems

✍ Scribed by Chun-Liang Lin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
336
Category
Article
ISSN
0016-0032

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✦ Synopsis

Lyapunov stability theory for conventional systems is extended in a natural way to a class of uncertain descriptor (singular) systems with or without control. It is shown that the resulting stability can be determined via the solution of a generalized algebraic Riccati matrix equation. We first investigate the response upper bound and stability for the perturbed open-loop system, and then construct two types of robust stabilizers for systems possessing the properties of impulse controllability or normalizability.

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