Optimal control of ODE systems involving a rate independent variational inequality
From MaRDI portal
Publication:1943301
DOI10.3934/dcdsb.2013.18.331zbMath1260.49002OpenAlexW2326414711MaRDI QIDQ1943301
Publication date: 19 March 2013
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.331
Variational inequalities (49J40) Evolution inclusions (34G25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control problems for functional-differential equations (34K35) Optimality conditions for problems involving ordinary differential equations (49K15) Equations with nonlinear hysteresis operators (47J40)
Related Items
Optimal control of a rate-independent evolution equation via viscous regularization ⋮ Control system with hysteresis and delay ⋮ On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations ⋮ Necessary conditions for optimal control problems with sweeping systems and end point constraints ⋮ Optimal control of a nonconvex perturbed sweeping process ⋮ Optimal control of nonconvex integro-differential sweeping processes ⋮ Unnamed Item ⋮ A string oscillations simulation with boundary conditions of hysteresis type ⋮ Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes ⋮ Relaxation and optimisation of a phase-field control system with hysteresis ⋮ Global existence and Hadamard differentiability of hysteresis reaction-diffusion systems ⋮ Optimal control of nonconvex sweeping processes with separable endpoints: nonsmooth maximum principle for local minimizers ⋮ A maximum principle for the controlled sweeping process ⋮ Optimal control of an evolution problem involving time-dependent maximal monotone operators ⋮ Existence, stability and optimality for optimal control problems governed by maximal monotone operators ⋮ Optimal control with sweeping processes: numerical method ⋮ An Optimal Control Problem with Terminal Stochastic Linear Complementarity Constraints ⋮ On hysteresis-reaction-diffusion systems: singular fast-reaction limit derivation and nonlinear hysteresis feedback ⋮ Viscous approximations of non-convex sweeping processes in the space of regulated functions ⋮ A minimization problem subject to a coupled system by maximal monotone operators ⋮ A coupled problem described by time-dependent subdifferential operator and non-convex perturbed sweeping process ⋮ Optimal control problems with states of bounded variation and hysteresis ⋮ Discrete approximations and optimality conditions for controlled free-time sweeping processes ⋮ Optimal control of the sweeping process over polyhedral controlled sets ⋮ A relaxation result for unbounded control system with hysteresis ⋮ Controlled polyhedral sweeping processes: existence, stability, and optimality conditions ⋮ A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process ⋮ Optimization of a prey-predator model with hysteresis and convection ⋮ Existence solutions for a couple of differential inclusions involving maximal monotone operators ⋮ A nonsmooth maximum principle for a controlled nonconvex sweeping process ⋮ Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities ⋮ Optimal control of reaction-diffusion systems with hysteresis ⋮ Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls ⋮ On the optimal control of rate-independent soft crawlers ⋮ On optimal control of a sweeping process coupled with an ordinary differential equation ⋮ Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations ⋮ Extended Euler-Lagrange and Hamiltonian conditions in optimal control of sweeping processes with controlled moving sets ⋮ Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach ⋮ Bogolyubov’s theorem for a controlled system related to a variational inequality ⋮ On smoothness of solutions to projected differential equations ⋮ Optimality conditions for a controlled sweeping process with applications to the crowd motion model ⋮ Discrete approximations of a controlled sweeping process ⋮ Optimal control of a perturbed sweeping process via discrete approximations ⋮ Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level ⋮ On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions ⋮ Optimization of fully controlled sweeping processes ⋮ A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ The Minimum Time Function for the Controlled Moreau's Sweeping Process ⋮ Optimal control of differential inclusions. II: Sweeping ⋮ On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces ⋮ Optimal control involving sweeping processes ⋮ Optimal control of sweeping processes in robotics and traffic flow models ⋮ Optimal Control of Perfect Plasticity Part II: Displacement Tracking ⋮ Unnamed Item ⋮ Optimal Control of the Sweeping Process with a Nonsmooth Moving Set ⋮ A maximum principle for a time-optimal bilevel sweeping control problem