Continuity in the parameter of the minimum value of an integral functional over the solutions of an evolution control system
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Publication:435891
DOI10.1016/j.na.2011.12.029zbMath1243.93051OpenAlexW1975013015MaRDI QIDQ435891
Publication date: 12 July 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.12.029
nonconvex constraintintegrand nonconvex in the controlnonlinear evolution control systemquasilinear parabolic control system
Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Control/observation systems in abstract spaces (93C25) Second-order parabolic systems (35K40)
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Cites Work
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- Scorza-Dragoni's theorem for multi-valued mappings with variable domain of definition
- Relaxation in nonconvex optimal control problems with subdifferential operators
- Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator
- Elliptic-parabolic variational inequalities with time-dependent constraints
- \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
- OPTIMAL CONTROL PROBLEMS OF QUASILINEAR ELLIPTIC-PARABOLIC EQUATION
- Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
- Time-dependent subdifferential evolution inclusions and optimal control
- Measurable relations
- On solutions of an evolution control system depending on parameters
- 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
- Mosco convergence of integral functionals and its applications
- Control systems of subdifferential type depending on a parameter