Internal Feedback Stabilization of Nonstationary Solutions to Semilinear Parabolic Systems
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We consider systems of controlled parabolic equations, coupled in lower-order terms, where the controllers act in a subdomain. We prove results of feedback stabilization to given nonstationary solutions satisfying some boundedness conditions. The argument relies on some refined estimates of the cost of approximate controllability and on the study of an appropriate differential Riccati equation.
KeywordsSystems of parabolic equations Approximate controllability Feedback stabilization Riccati differential equation
Mathematics Subject Classification35K40 35K58 34H15 93D15 49N05
This work was supported by Grant PN-II-ID-PCE-2012-4-0456 of the Romanian National Authority for Scientific Research and Innovation, CNCS–UEFISCDI.
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