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Optimal control problems with state constraints for semilinear distributed-parameter systems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-0348-8625-3_22openalex-snapshot
A boundary Pontryagin’s principle for the optimal control of state-constrained elliptic systems
inferredcites →https://doi.org/10.1007/bf00935231openalex-snapshot
Control of a hyperbolic problem with pointwise stress constraints
inferredcites →https://doi.org/10.1007/bf01182597openalex-snapshot
Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state
inferredcites →https://doi.org/10.1007/bf01200380openalex-snapshot
Optimal control problems for distributed parameter systems in Banach spaces
inferredcites →https://doi.org/10.1007/bf01218394openalex-snapshot
Optimal control in coefficients of elliptic equations with state constraints
inferredcites →https://doi.org/10.1007/bf01398381openalex-snapshot
Optimal control of a Stefan problem with state-space constraints
inferredcites →https://doi.org/10.1007/bf01442651openalex-snapshot
A unified theory of necessary conditions for nonlinear nonconvex control systems
inferredcites →https://doi.org/10.1007/bf01604503openalex-snapshot
Journal of Mathematical Analysis and Applications
inferredcites →https://doi.org/10.1007/bf02551380openalex-snapshot
Necessary conditions for infinite-dimensional control problems
inferredcites →https://doi.org/10.1007/bfb0005651openalex-snapshot
The maximum principle for nonlinear nonconvex systems in infinite dimensional spaces
inferredcites →https://doi.org/10.1007/bfb0042230openalex-snapshot
Necessary conditions for infinite dimensional control problems
inferredcites →https://doi.org/10.1007/bfb0043215openalex-snapshot
Optimal control problems for distributed parameter systems governed by semilinear parabolic equations in l1 and l∞ spaces
inferredcites →https://doi.org/10.1007/bfb0044483openalex-snapshot
Infinite dimensional control problems with state constraints
inferredcites →https://doi.org/10.1007/bfb0085564openalex-snapshot
Optimal Control of Nonsmooth Distributed Parameter Systems
inferredcites →https://doi.org/10.1016/0022-247x(82)90165-2openalex-snapshot
Convex parabolic boundary control problems with pointwise state constraints
inferredcites →https://doi.org/10.1016/b978-0-12-068640-7.50009-xopenalex-snapshot
“THE TIME OPTIMAL PROBLEM FOR DISTRIBUTED CONTROL OF SYSTEMS DESCRIBED BY THE WAVE EQUATION”**This work was supported in part by the National Science Foundation under grant MPS71-02656 A04.
inferredcites →https://doi.org/10.1016/s0294-1449(16)30300-6openalex-snapshot
Some inverse mapping theorems
inferredcites →https://doi.org/10.1080/01630568108816091openalex-snapshot
Time-optimal parabolic boundary control problems with state constraints
inferredcites →https://doi.org/10.1080/02331938108842708openalex-snapshot
Optimalitätsbedingungen und Dualltät bei zustandsrestringierten parabolischen Kontrollproblemen
inferredcites →https://doi.org/10.1080/02331938608843174openalex-snapshot
On some elliptic optimal control problems with state constraints
inferredcites →https://doi.org/10.1090/s0002-9904-1926-04156-2openalex-snapshot
The Colloquium publications
inferredcites →https://doi.org/10.1137/0327038openalex-snapshot
Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems
inferredcites →https://doi.org/10.1137/0331045openalex-snapshot
Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems
inferredcites →https://doi.org/10.1137/s0363012991220244openalex-snapshot
Existence Theory and the Maximum Principle for Relaxed Infinite-Dimensional Optimal Control Problems
inferredcites →https://doi.org/10.3934/dcds.1995.1.77openalex-snapshot
The maximum principle for linear infinite dimensional control systems with state constraints
inferredcites →https://doi.org/10.4064/sm-15-3-337-352openalex-snapshot
A general bilinear vector integral
inferredcites →https://doi.org/10.4171/zaa/23openalex-snapshot
On some parabolic boundary control problems with constraints on the control and functional-constraints on the state
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mma.3200openalex-snapshot
Optimal boundary control of hyperbolic equations with pointwise state and mixed control‐state constraints
inferred← citeshttps://doi.org/10.1002/oca.981openalex-snapshot
Optimal control problem for an elliptic equation which has exactly two solutions
inferred← citeshttps://doi.org/10.1007/978-3-0348-8849-3_10openalex-snapshot
Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets
inferred← citeshttps://doi.org/10.1007/978-3-0348-8849-3_17openalex-snapshot
Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints
inferred← citeshttps://doi.org/10.1007/978-3-0348-8849-3_7openalex-snapshot
Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints
inferred← citeshttps://doi.org/10.1007/s00028-022-00856-wopenalex-snapshot
Second-order necessary conditions in optimal control of evolution systems
inferred← citeshttps://doi.org/10.1007/s00245-021-09803-6openalex-snapshot
Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints
inferred← citeshttps://doi.org/10.1007/s002459900087openalex-snapshot
Optimal Control Problems with State Constraints in Fluid Mechanics and Combustion
inferred← citeshttps://doi.org/10.1007/s10255-005-5062-6openalex-snapshot
Optimal control problem governed by semilinear parabolic equation and its algorithm
inferred← citeshttps://doi.org/10.1016/j.jde.2018.02.012openalex-snapshot
Necessary optimality conditions for infinite dimensional state constrained control problems
inferred← citeshttps://doi.org/10.1016/s0362-546x(00)00141-3openalex-snapshot
Pontryagin's principle for the control of parabolic equations with gradient state constraints
inferred← citeshttps://doi.org/10.1017/s0308210500026998openalex-snapshot
Robustness and convergence of suboptimal controls in distributed parameter systems
inferred← citeshttps://doi.org/10.1051/cocv/2024076openalex-snapshot
The maximum principle for lumped-distributed control systems
inferred← citeshttps://doi.org/10.1109/cdc40024.2019.9030176openalex-snapshot
On second order necessary conditions in infinite dimensional optimal control with state constraints
inferred← citeshttps://doi.org/10.1137/s0363012903431177openalex-snapshot
Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints
inferred← citeshttps://doi.org/10.1137/s0363012996302470openalex-snapshot
Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
inferred← citeshttps://doi.org/10.1137/s036301299733035xopenalex-snapshot
Necessary Optimality Conditions for Control Problems and the Stone--Cech Compactification
inferred← citeshttps://doi.org/10.1201/9780203904190-22openalex-snapshot
Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems
inferred← citeshttps://doi.org/10.1201/9780203904190.ch15openalex-snapshot
Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems
inferred← citeshttps://doi.org/10.68381/jca07001openalex-snapshot
Optimality Conditions for Constrained Convex Parabolic Control Problems Via Duality
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