Optimal Control of History-Dependent Evolution Inclusions with Applications to Frictional Contact
Stanisław Migórski
Abstract
Abstract In this paper, we study a class of subdifferential evolution inclusions involving history-dependent operators. First, we improve an existence and uniqueness theorem and prove the continuous dependence result in the weak topologies. Next, we establish the existence of optimal solution to an optimal control problem for the evolution inclusion. Finally, we illustrate the results by an example of an optimal control of a dynamic frictional contact problem in mechanics, whose weak formulation is the evolution variational inequality.
Topics & Concepts
Variational inequalityTheory of computationUniquenessMathematicsSubderivativeOptimal controlDifferential inclusionClass (philosophy)Mathematical optimizationApplied mathematicsMathematical analysisComputer scienceConvex optimizationRegular polygonGeometryAlgorithmArtificial intelligenceContact Mechanics and Variational InequalitiesMechanical stress and fatigue analysisGear and Bearing Dynamics Analysis