Feedback stabilization of distributed semilinear control systems

J. M. Ball; M. Slemrod

doi:10.1007/BF01442552

Feedback stabilization of distributed semilinear control systems

J. M. Ball
, M. Slemrod

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

183 Citations (Scopus)

Abstract

This paper considers feedback stabilization for the semilinear control system {Mathematical expression} Here A is the infinitesimal generator of a linear C⁰ semigroup of contractions on a Hilbert space H and B : H ? H is a nonlinear operator. A sufficient condition for feedback stabilization is given and applications to hyperbolic boundary value problems are presented. © 1979 Springer-Verlag New York Inc.

Original language	English
Pages (from-to)	169-179
Number of pages	11
Journal	Applied Mathematics & Optimization
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF01442552
Publication status	Published - Mar 1979

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10.1007/BF01442552

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title = "Feedback stabilization of distributed semilinear control systems",

abstract = "This paper considers feedback stabilization for the semilinear control system \{Mathematical expression\} Here A is the infinitesimal generator of a linear C0 semigroup of contractions on a Hilbert space H and B : H ? H is a nonlinear operator. A sufficient condition for feedback stabilization is given and applications to hyperbolic boundary value problems are presented. {\textcopyright} 1979 Springer-Verlag New York Inc.",

author = "Ball, \{J. M.\} and M. Slemrod",

year = "1979",

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AB - This paper considers feedback stabilization for the semilinear control system {Mathematical expression} Here A is the infinitesimal generator of a linear C0 semigroup of contractions on a Hilbert space H and B : H ? H is a nonlinear operator. A sufficient condition for feedback stabilization is given and applications to hyperbolic boundary value problems are presented. © 1979 Springer-Verlag New York Inc.

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JO - Applied Mathematics & Optimization

JF - Applied Mathematics & Optimization

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Feedback stabilization of distributed semilinear control systems

Abstract

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