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Ball, J. M.; Slemrod, M.

Feedback stabilization of distributed semilinear control systems. (English) Zbl 0405.93030

Appl. Math. Optimization 5, 169-179 (1979).
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Cited in 95 Documents

MSC:

93D15 Stabilization of systems by feedback
93C20 Control/observation systems governed by partial differential equations
93C10 Nonlinear systems in control theory
47H20 Semigroups of nonlinear operators

Keywords:

Feedback Stabilization; Semilinear Control System; Infinitesimal Generator; Contraction Semigroup; Hilbert Space
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References:

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[11] A. Pazy, A class of semilinear equations of evolution,Israel J. Math., 20, 23-36, (1975). · Zbl 0305.47022 · doi:10.1007/BF02756753
[12] A. Pazy, Semigroups of linear operators and applications to partial differential equations,Dept. of Mathematics, Univ. of Maryland, Lecture Notes No. 10, 1974. · Zbl 0516.47023
[13] I. E. Segal, Nonlinear semigroups,Annals of Mathematics, 78, 339-364, (1963). · Zbl 0204.16004 · doi:10.2307/1970347
[14] M. Slemrod, Stabilization of bilinear control systems with applications to nnonconservative problems in elasticity,S.I.A.M. J. Control 16, 131-141 (1978). · Zbl 0388.93037
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