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Exponentially Stable Feedback Control of Discrete-Time Nonlinear Distributed Parameter Systems on Banach Spaces

✍ Scribed by Mark J. Balas

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 261 KB
Volume: 215
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5619

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✦ Synopsis

Practical engineering systems require feedback control implementation in discrete-time; however, stable control of an infinite-dimensional distributed param-Ž . eter system DPS is not always guaranteed. We introduce two nonlinear con-Ž . trollers, a DPS one and a finite-dimensional one with residual mode filter RMF compensation, which produce local exponential closed-loop stability for nonlinear discrete-time DPS on Banach spaces under appropriate local Lipschitz continuity conditions. Both controllers operate in discrete-time and our results place no restrictions on the smoothness of the initial data in the Banach space. ᮊ 1997

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