Internal Feedback Stabilization of Nonstationary Solutions to Semilinear Parabolic Systems

Cătălin-George Lefter ()
Additional contact information
Cătălin-George Lefter: “Alexandru Ioan Cuza” University of Iasi

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 3, No 14, 960-976

Abstract: Abstract 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.

Keywords: Systems of parabolic equations; Approximate controllability; Feedback stabilization; Riccati differential equation; 35K40; 35K58; 34H15; 93D15; 49N05 (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-016-0964-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:170:y:2016:i:3:d:10.1007_s10957-016-0964-4

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-016-0964-4

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().