Optimal control of mechanical systems.
Optimal control of nonlinear delay systems with implicit derivative and quadratic performance
The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.
Optimal control of nonlinear evolution equations
In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls. Then we pass to nonparametric...
Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications
In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results.
Optimal control of nonlinear one-dimensional periodic wave equation with x-dependent coefficients
This paper is concerned with an optimal control problem governed by the nonlinear one dimensional periodic wave equation with x-dependent coefficients. The control of the system is realized via the outer function of the state. Such a model arises from the propagation of seismic waves in a nonisotropic medium. By investigating some important properties of the linear operator associated with the state equation, we obtain the existence and regularity of the weak solution to the state equation. Furthermore,...
Optimal control of nonlinear second order evolution equations.
Optimal control of nonsmooth system governed by quasi-linear elliptic equations.
Optimal control of non-well-posed distributed systems
Optimal control of obstacle problems : existence of Lagrange multipliers
Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
We study first order optimality systems for the control of a system governed by a variational inequality and deal with Lagrange multipliers: is it possible to associate to each pointwise constraint a multiplier to get a “good” optimality system? We give positive and negative answers for the finite and infinite dimensional cases. These results are compared with the previous ones got by penalization or differentiation.
Optimal control of partial differential equations with affine control constraints
Optimal control of problems governed by obstacle type variational inequalities: A dual regularization-penalization approach.
Optimal control of production inventory systems with deteriorating items and dynamic costs.
Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.
In this paper we study some optimal control problems of systems governed by quasilinear elliptic equations in divergence form with non differentiable coefficients at the origin. We prove existence of solutions and derive the optimality conditions by considering a perturbation of the differential operator coefficients that removes the singularity at the origin. Regularity of optimal controls is also deduced.
Optimal control of semilinear evolution inclusions via discrete approximations
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type
Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type
We consider optimal distributed and boundary control problems for semilinear parabolic equations, where pointwise constraints on the control and pointwise mixed control-state constraints of bottleneck type are given. Our main result states the existence of regular Lagrange multipliers for the state-constraints. Under natural assumptions, we are able to show the existence of bounded and measurable Lagrange multipliers. The method is based on results from the theory of continuous linear programming...
Optimal control of stabilizable time-varying linear systems with time delay
Optimal control of stationary, low mach number, highly nonisothermal, viscous flows
Optimal control of stationary, low Mach number, highly nonisothermal, viscous flows
An optimal control problem for a model for stationary, low Mach number, highly nonisothermal, viscous flows is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. The existence of solutions of a boundary value problem for the model equations is established as is the existence of solutions of the optimal control problem. Then, a derivation of an optimality system, i.e., a boundary value problem from...