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

179 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

Access to Document

10.1007/BF01442552

Cite this

@article{a152739e8aa04b6d9575ac4b351ab28b,

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",

month = mar,

doi = "10.1007/BF01442552",

language = "English",

volume = "5",

pages = "169--179",

journal = "Applied Mathematics \& Optimization",

issn = "0095-4616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Feedback stabilization of distributed semilinear control systems

AU - Ball, J. M.

AU - Slemrod, M.

PY - 1979/3

Y1 - 1979/3

N2 - 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.

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.

U2 - 10.1007/BF01442552

DO - 10.1007/BF01442552

M3 - Article

SN - 0095-4616

VL - 5

SP - 169

EP - 179

JO - Applied Mathematics & Optimization

JF - Applied Mathematics & Optimization

IS - 1

ER -

Feedback stabilization of distributed semilinear control systems

Abstract

Access to Document

Fingerprint

Cite this