✦ LIBER ✦

System stability with combined derivative constraints on time varying gains

✍ Scribed by S. Ramarajan; K.L.P. Mishra

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 131 KB
Volume: 14
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(78)90080-8

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✦ Synopsis

For feedback systems with a time-varying gain in the feedback path novel conditions are obtained for L2-stability by proving the positivity of certain operators. The proof is presented for the linear time-varying system and the corresponding results for non-linear time-varying systems can be obtained in a similar fashion. An example illustrates the superiority of the new criterion even though it may not be always superior. An additional requirement to the usual ones is that the time-varying gain must he differentiable twice with respect to time.

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