✦ LIBER ✦

ON THE STABILITY OF SYSTEMS WITH MIXED TIME-VARYING PARAMETERS

✍ Scribed by Richard D. Braatz; Manfred Morari

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 258 KB
Volume: 7
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(199702)7:2<105::aid-rnc305>3.0.co;2-i

No coin nor oath required. For personal study only.

✦ Synopsis

The well-known scaled small gain condition guarantees stability for a linear time invariant system subject to bounded complex nonlinear and/or time-varying perturbations. A polynomial time computable condition is derived that can be substantially less conservative for gain scheduled and other multivariable systems with repeated real time-varying parameters. The proof is a generalization of the purely-complex case given in Andrew Packard's thesis.

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