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Existence of Solutions for Optimal Control Problems on Time Scales whose States are Absolutely Continuous
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2016-04-01)
ABSTRACT This paper considers a class of optimal control problems on time scales described by dynamic equations on time scales. For this class, the states are absolutely continuous. We have established sufficient conditions ...
Existence, uniqueness and convergence of simultaneous distributed-boundary optimal control problems
(Polish Acad Sciences Systems Research Inst, 2015-01)
We consider a steady-state heat conduction problem P for the Poisson equation with mixed boundary conditions in a bounded multidimensional domain Ω. We also consider a family of problems Pα for the same Poisson equation ...
On the properness of an impulsive control extension of dynamic optimization problems
(Edp Sciences S A, 2015-07-01)
This article investigates the properness, or well-posedness, of impulsive extension of a conventional optimal control problem. This includes both well-posedness of the solution to impulsive control systems arising as result ...
A generalized filippov-like existence theorem for optimal control problems with constraints
(2019-01-01)
As is known, an optimal control problem may not have a solution. A.F. Filippov in [1] obtained his well-known theorem under the assumption of the convexity of the velocity set. Further, this convexity-based approach was ...
A DPG method for linear quadratic optimal control problems
(Elsevier Ltd, 2024)
The DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solution of the nonlinear discrete problem and ...
Optimal control problem for deflection plate with crack
(Springer/plenum Publishers, 2012-07-01)
We consider a control problem where the state variable is defined as the solution of a variational inequality. This system describes the vertical displacement of points of a thin plate with the presence of crack inside ...
Optimal control problem for deflection plate with crack
(Springer/plenum Publishers, 2012-07-01)
We consider a control problem where the state variable is defined as the solution of a variational inequality. This system describes the vertical displacement of points of a thin plate with the presence of crack inside ...
Existence, stability and optimality for optimal control problems governed by maximal monotone operators
(2016)
We study optimal control problems governed by maximal monotone differential inclusions with mixed control-state constraints in infinite dimensional spaces. We obtain some existence results for this kind of dynamics and ...
Filippov's selection theorem and the existence of solutions for optimal control problems in time scales
(Springer, 2014-04-01)
We obtain an extension of Filippov's Lemma to control systems in time scales, where the multifunction associated with the dynamics is delta measurable on time and Lipschitz on the state variable. Using a modified version ...
Optimal control of an age-structured problem modelling mosquito plasticity
(2019-02-01)
In this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, ...