Boundary and Distributed Controllability of the Damped Wave Equation: Reduction of Control Time

We consider the zero controllability problem for the distributed parameter system governed by the damped wave equationutt+2dxut−1ρ(x)ddxp(x)dudx+qxu=Fx,t,where x∈[0,a], a

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Veröffentlicht in:	Journal of mathematical analysis and applications 1999-12, Vol.240 (1), p.16-36
Hauptverfasser:	Shubov, Marianna A., Martin, Clyde F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computer science control theory systems Control theory. Systems damping, boundary and distributed controls exact controllability Exact sciences and technology generalized eigenvectors Mathematical analysis Mathematics nonharmonic exponential basis nonselfadjoint operators Operator theory Partial differential equations Riesz basis Sciences and techniques of general use System theory
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Beschreibung
Zusammenfassung:	We consider the zero controllability problem for the distributed parameter system governed by the damped wave equationutt+2dxut−1ρ(x)ddxp(x)dudx+qxu=Fx,t,where x∈[0,a], a
ISSN:	0022-247X 1096-0813
DOI:	10.1006/jmaa.1999.6554