A note on stabilization with saturating feedback

Thomas I. Seidman; Houshi Li

doi:10.3934/dcds.2001.7.319

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2001, Volume 7, Issue 2: 319-328. Doi: 10.3934/dcds.2001.7.319

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A note on stabilization with saturating feedback

Thomas I. Seidman^1, and
Houshi Li²

1.
Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD 21250
2.
Department of Mathematics, Southwestern Jiaotong University

Revised: October 31, 2000

Published: March 2000

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Abstract

We assume, for a distributed parameter control system, that a linear stabilizing is available. We then seek a stabilizing, necessarily nonlinear, subject to an a priori bound on the control.

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Mathematics Subject Classification: Primary: 93D15, 37L05, 93B52; Secondary: 35B37.

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