ISSN:
1432-0606
Keywords:
Exponentially stable semigroups
;
Semilinear wave equations
;
Periodic (or antiperiodic) boundary conditions
;
Mild solutions
;
Sobolev spaces
;
Necessary conditions for optimality
;
49J20
;
49K20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Optimal control problem governed byy′=Ay + Bu, y(0)=ɛy (T), ɛ=±1 are studied, whereA is the infinitesimal generator of a nonasymptotically stableC o semigroup andB is a linear operator from a controller spaceU into a state spaceH. Both distributed (B ε L(U, H)) and boundary cases (B εL(U, (D(A *))′)) are investigated. Some applications to periodic control of wave equations are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01183142
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