Sufficient second order optimality conditions for a state-constrained optimal control problem of a weakly singular integral equation

Numerical Functional Analysis and Optimization

Volumn 23, Issue 1-2, 2002, Pages 173-193

  Rösch, Arnd ^a   Tröltzsch, Fredi ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Bottleneck constraints; Nonlinear integral equation; Optimal control; Pointwise mixed control state constraints; Sufficient second order optimality condition

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; INITIAL VALUE PROBLEMS; INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS;

NONLINEAR INTEGRAL EQUATIONS;

OPTIMAL CONTROL SYSTEMS;

EID: 0036477865     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-120003677     Document Type: Article

References (12)

1. Optimal control problems with mixed control-state constraints
2. Optimal control of linear bottleneck problems
3. Optimal control of semilinear parabolic equations with state-constraints of bottleneck type
4. Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations
5. First and second order sufficient optimality conditions in mathematical programming and optimal control
6. Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
7. Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
8. A minimum principle and a generalized bang-bang-principle for a distributed optimal control problem with constraints on the control and the state
9. Approximation of non-linear parabolic boundary control problem by the Fourier method convergence of optimal controls