Relaxation in nonconvex optimal control problems with subdifferential operators
From MaRDI portal
Publication:876809
DOI10.1007/s10958-007-0021-9zbMath1112.49007OpenAlexW2020018830MaRDI QIDQ876809
Publication date: 30 April 2007
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-007-0021-9
Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)
Related Items
Control systems described by a class of fractional semilinear evolution hemivariational inequalities and their relaxation property ⋮ A class of delay evolution hemivariational inequalities and optimal feedback controls ⋮ Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces ⋮ Relaxation and optimisation of a phase-field control system with hysteresis ⋮ Optimal control of feedback control systems governed by systems of evolution hemivariational inequalities ⋮ Optimal control of history-dependent evolution inclusions with applications to frictional contact ⋮ Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Optimal control for doubly nonlinear evolutionary inclusions ⋮ Control systems described by a class of fractional semilinear evolution equations and their relaxation property ⋮ Various perturbations of time dependent maximal monotone/accretive operators in evolution inclusions with applications ⋮ Relaxation in nonconvex optimal control problems described by evolution Riemann-Liouville fractional differential inclusions ⋮ Continuity in the parameter of the minimum value of an integral functional over the solutions of an evolution control system ⋮ Bogolyubov-type theorem with constraints induced by a control system with hysteresis effect ⋮ Approximate controllability for a class of hemivariational inequalities ⋮ Approximate controllability for stochastic evolution inclusions of Clarke's subdifferential type ⋮ Properties of the set of admissible ``State control pair for a class of fractional semilinear evolution control systems ⋮ Relaxation in the optimal control problem for the Goursat-Darboux system ⋮ Optimal control of feedback control systems governed by hemivariational inequalities ⋮ Relaxation in nonconvex optimal control problems described by fractional differential equations ⋮ On the approximate controllability for fractional evolution hemivariational inequalities ⋮ Relaxation in nonconvex optimal control for nonlinear evolution hemivariational inequalities ⋮ Relaxation in nonconvex optimal control problems governed by evolution inclusions with the difference of two Clarke's subdifferentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems
- The Bogolyubov theorem with a differential inclusion as constraint
- \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
- Continuous selections for a class of non-convex multivalued maps
- Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
- On the quasi-linear heat equation with time-dependent obstacles
- Measurable relations
- Bogolyubov's theorem under constraints generated by a controlled second-order evolution system
- Relaxation in non-convex optimal control problems described by first-order evolution equations
