Stability and sensitivity of solutions to nonlinear optimal control problems

DOI10.1007/BF01185227zbMath0842.49020MaRDI QIDQ1895797

Kazimierz Malanowski

Publication date: 6 September 1995

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

control and state constraintsparametric optimal controlnonlinear ordinary differential equationsstability and sensitivity of solutions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Numerical methods involving duality (49M29) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items

Error bounds for euler approximation of a state and control constrained optimal control problem¹, Second-order sufficient optimality conditions for control problems with linearly independent gradients of control constraints, Sensitivity analysis for parametric control problems with control-state constraints, On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations, Differential stability of discrete optimal control problems with possibly nondifferentiable costs, Machine learning architectures for price formation models, Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods, Stability of optimal control of heat equation with singular potential, Euler discretization for a class of nonlinear optimal control problems with control appearing linearly, Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints, Method of evolving junctions: a new approach to optimal control with constraints, Necessary quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints, Second-order conditions in stability analysis for state constrained optimal control, Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints, Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints, BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS^*, Homotopy algorithm for optimal control problems with a second-order state constraint, Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints, Realtime control of robots with initial value perturbationsvianonlinear programming methods, Nonlinear programming methods for real-time control of an industrial robot, Well-posed optimal control problems, Weak and strong optimality conditions for constrained control problems with discontinuous control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
• Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
• Contrôle dans les inéquations variationelles elliptiques
• How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
• Perturbations, approximations and sensitivity analysis of optimal control systems
• Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
• The lagrange-newton method for infinite-dimensional optimization problems
• Lipschitz Continuity for Constrained Processes
• Strongly Regular Generalized Equations
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• Sensitivity Analysis of Parametrized Programs under Cone Constraints