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LMI characterization of structural and robust stability: the discrete-time case

✍ Scribed by M.C. de Oliveira; J.C. Geromel; Liu Hsu

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 115 KB
Volume: 296
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00086-5

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✦ Synopsis

This paper extends to the discrete-time case some robust stability conditions, recently obtained for continuous-time systems. Those conditions are expressed in terms of Linear Matrix Inequalities (LMI), being thus simply and eciently computable. As in the continuous-time case, parameter-dependent Lyapunov functions can be constructed and, consequently, the new approach can yield much sharper and less conservative results than the simultaneous stability approach. In particular, well-known stability problems, namely, D-stability and robust stability in the presence of diagonally structured uncertainty can be more eciently addressed. Numerical examples are included to illustrate the advantages of the new stability conditions.

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