Time dependent Dirichlet space, mixed Dirichlet problem and pseudo-differential operators
Time domain decomposition in final value optimal control of the Maxwell system
We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time...
Time Domain Decomposition in Final Value Optimal Control of the Maxwell System
We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time...
Time minimal synthesis with target of codimension one under generic conditions
We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form , and or , under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.
Time optimal control problem for differential inclusions
Time-discretization for controlled Markov processes. I. General approximation results
Time-discretization for controlled Markov processes. II. A jump and diffusion application
Time-optimal boundary control of a parabolic system with time lags given in integral form
In this paper, the time-optimal boundary control problem for a distributed parabolic system in which time lags appear in integral form in both the state equation and the boundary condition is presented. Some particular properties of optimal control are discussed.
Time-optimal control of a certain second-order nonoscillatory system
Time-optimal control of a third-order plant
Time-optimal control of infinite order hyperbolic systems with time delays
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Time-optimal control of systems with fractional dynamics.
Time-optimal control of two-dimensional systems and regular synthesis
Topology optimization of quasistatic contact problems
This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimization problem considered is to find the optimal material distribution inside a design domain occupied by the...
Towards historical roots of necessary conditions of optimality: Regula of Peano
Transportation flow problems with Radon measure variables
For a multidimensional control problem involving controls , we construct a dual problem in which the variables ν to be paired with u are taken from the measure space rca (Ω,) instead of . For this purpose, we add to a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.
Turnpike properties of approximate solutions of autonomous variational problems
Turnpike theorems by a value function approach
Turnpike theorems deal with the optimality of trajectories reaching a singular solution, in calculus of variations or optimal control problems. For scalar calculus of variations problems in infinite horizon, linear with respect to the derivative, we use the theory of viscosity solutions of Hamilton-Jacobi equations to obtain a unique characterization of the value function. With this approach, we extend for the scalar case the classical result based on Green theorem, when there is uniqueness of the...
Turnpike theorems by a value function approach
Turnpike theorems deal with the optimality of trajectories reaching a singular solution, in calculus of variations or optimal control problems. For scalar calculus of variations problems in infinite horizon, linear with respect to the derivative, we use the theory of viscosity solutions of Hamilton-Jacobi equations to obtain a unique characterization of the value function. With this approach, we extend for the scalar case the classical result based on Green theorem, when there is uniqueness of...
Two corrections and a remark regarding my paper "Every normal linear system has a regular time-optimal synthesis"