On an Augmented Lagrangian SQP Method for a Class of Optimal Control Problems in Banach Spaces
Computational Optimization and Applications
Numerical Optimization for the Location of Wastewater Outfalls
Computational Optimization and Applications
Minimax control of nonlinear evolution equations
Applied Mathematics and Computation
Nonlinear Analysis: Theory, Methods & Applications - Theory and methods
Journal of Computational and Applied Mathematics
Optimal design and operation of a wastewater purification system
Mathematics and Computers in Simulation
Journal of Computational and Applied Mathematics
Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Karush-Kuhn-Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces
SIAM Journal on Control and Optimization
A Pontryagin Maximum Principle for Infinite-Dimensional Problems
SIAM Journal on Control and Optimization
Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
SIAM Journal on Optimization
On the optimal control of the Schlögl-model
Computational Optimization and Applications
Error estimates for parabolic optimal control problems with control and state constraints
Computational Optimization and Applications
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This paper deals with state-constrained optimal control problems governed by semilinear parabolic equations. We establish a minimum principle of Pontryagin's type. To deal with the state constraints, we introduce a penalty problem by using Ekeland's principle. The key tool for the proof is the use of a special kind of spike perturbations distributed in the domain where the controls are defined. Conditions for normality of optimality conditions are given.