Optimal control and feedback design of state-constrained parabolic systems in uncertainty conditions

DOI10.1080/00036811003735840zbMath1231.49020OpenAlexW2056129691WikidataQ58254125 ScholiaQ58254125MaRDI QIDQ3006696

Boris S. Mordukhovich

Publication date: 20 June 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.wayne.edu/math_reports/72

zbMATH Keywords

state constraintsrobust stabilityparabolic systemsfeedback controlDirichlet boundary controlsuboptimalityminimax synthesisuncertainty perturbations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimal feedback synthesis (49N35) Perturbations in control/observation systems (93C73) Robust stability (93D09) Synthesis problems (93B50) Optimality conditions for minimax problems (49K35)

Related Items (19)

Game control problem for a phase field equation ⋮ Discrete Time Optimal Control Problems on Large Intervals ⋮ Feedback design of differential equations of reconstruction for second-order distributed parameter systems ⋮ Some problems of guaranteed control of the Schlögl and Fitzhugh-Nagumo systems ⋮ Optimization of the Dirichlet problem for gradient differential inclusions ⋮ Optimal control of measure dynamics ⋮ Turnpike properties of approximate solutions of dynamic discrete time zero-sum games ⋮ Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation ⋮ Linear openness and feedback stabilization of nonlinear control systems ⋮ Structure of approximate solutions of Bolza variational problems on large intervals ⋮ Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems ⋮ Structure of solutions of discrete time optimal control problems in the regions close to the endpoints ⋮ Agreeable solutions of discrete time optimal control problems ⋮ Structure of approximate solutions of discrete time optimal control Bolza problems on large intervals ⋮ Convergence of Extremals of Variational Problems on Large Intervals ⋮ Convergence of solutions of optimal control problems with discounting on large intervals in the regions close to the endpoints ⋮ Global and regional constrained controllability for distributed parabolic linear systems: RHUM approach ⋮ Structure of solutions of variational problems with extended-valued integrands in the regions close to the endpoints ⋮ Structure of extremals of variational problems in the regions close to the endpoints

Cites Work

• Unnamed Item
• Asymmetric games for convolution systems with applications to feedback control of constrained parabolic equations
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints
• Dirichlet boundary control of semilinear parabolic equations. I: Problems with no state constraints
• Suboptimal minimax design of constrained parabolic systems with mixed boundary control
• Elliptic Partial Differential Equations of Second Order
• Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
• Optimal Problems for Nonlinear Parabolic Boundary Control Systems

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