N.N. Krasovskii's extremal shift method and problems of boundary control

DOI10.1134/S0005117909040043zbMath1206.49042OpenAlexW1967993656MaRDI QIDQ1040441

Yu. S. Osipov, Vyacheslav I. Maksimov, Arkadii V. Kryazhimskij

Publication date: 24 November 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117909040043

zbMATH Keywords

parabolic differential equationpositional differential gamesboundary-controlled dynamic system

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items

Dynamic discrepancy method in the problem of reconstructing the input of a system with time delay control, An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters, Tracking the solution of a linear parabolic equation using feedback laws, Extremal shift in a problem of tracking a solution of an operator differential equation, On a positional control problem for a nonlinear equation with distributed parameters, On a Differential Game in a System Described by a Functional Differential Equation, Modification of the dynamic regularization method for linear parabolic equations, Tracking the trajectory of a fractional dynamical system when measuring part of state vector coordinates, The dynamical discrepancy method in problems of reconstructing unknown characteristics of a second-order system, On reconstruction of an input of a parabolic equation on an infinite time interval, Control problem for a nonlinear distributed equation, Guidance problem for a distributed system with incomplete information on the state coordinates and an unknown initial state, Guaranteed control problem for a parabolic equation with memory, Dynamic reconstruction of unknown boundary disturbances in a parabolic equation, Stable boundary control of a parabolic equation, On a modification of the dynamic regularization method for linear hyperbolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unified theory for abstract parabolic boundary problems - a semigroup approach
• Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
• Boundary control of parabolic systems: regularity of optimal solutions
• The problem of robust boundary control: the case of Dirichlet boundary conditions.
• Dynamical reconstruction of inputs for contraction semigroup systems: Boundary input case
• Problems of dynamical reconstruction and robust boundary control: the case of the Dirichlet boundary conditions
• Boundary Control Problems with Convex Cost Criterion
• On Convergence of Semidiscrete Ritz‐Galerkin Schemes Applied to the Boundary Control of Parabolic Equations with Non‐Linear Boundary Condition
• Dynamic inverse problems for parabolic systems