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• W2087574051 abstract "In this paper we note the equivalence between exact controllability and exponential stabilizability for an abstract conservative system with bounded control. This enables us to establish a frequency domain characterization for the exact controllability/uniform exponential decay property of second-order elastic systems, such as the wave equation and the Petrovsky equation, with (locally) distributed control/damping. A piecewise multiplier method for frequency domain is introduced. For several classes of PDEs on regions which are not necessarily smooth, we obtain a sufficient condition for the subregion on which the application of control/damping will yield the exact controllability/uniform exponential decay property. This result provides useful information for designing the location of controllers/dampers for distributed systems with a law of conservation." @default.
• W2087574051 created "2016-06-24" @default.
• W2087574051 creator A5019371433 @default.
• W2087574051 date "1997-09-01" @default.
• W2087574051 modified "2023-10-07" @default.
• W2087574051 title "Locally Distributed Control and Damping for the Conservative Systems" @default.
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• W2087574051 doi "https://doi.org/10.1137/s0363012995284928" @default.
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