Asymmetric games for convolution systems with applications to feedback control of constrained parabolic equations

DOI10.1016/j.jmaa.2006.10.044zbMath1114.49021OpenAlexW2085595104MaRDI QIDQ886189

Boris S. Mordukhovich, Thomas I. Seidman

Publication date: 26 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1044&context=math_reports

zbMATH Keywords

parabolic systemsuncertaintiesfeedback controlconvolutionsasymmetric gamesminimax designpointwise control and state constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Feedback control (93B52) Existence of solutions for minimax problems (49J35)

Related Items

Optimal control and feedback design of state-constrained parabolic systems in uncertainty conditions ⋮ New Applications of Variational Analysis to Optimization and Control ⋮ Suboptimal minimax design of constrained parabolic systems with mixed boundary control

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
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