Necessary optimality conditions for discrete inclusions
نویسنده
چکیده
The aim of this paper is to present a short survey of several new results concerning optimization of discrete inclusions. We study an optimization problem given by a discrete inclusion with end point constraints and we present several approaches concerning first and secondorder necessary optimality conditions for this problem.
منابع مشابه
Optimal Control of Semilinear Evolution Inclusions via Discrete Approximations
This paper studies a Mayer type optimal control problem with general endpoint constraints for semilinear unbounded evolution inclusions in reflexive and separable Banach spaces. First, we construct a sequence of discrete approximations to the original optimal control problem for evolution inclusions and prove that optimal solutions to discrete approximation problems uniformly converge to a give...
متن کاملOptimal Control of Nonconvex Discrete and Differential Inclusions
Optimization problems for discrete and diierential inclusions have many important applications and generalize both standard and nonstandard models in optimal control for open-loop and closed-loop control systems. In this paper we consider optimal control problems for dynamic systems governed by such inclusions with general endpoint constraints. We provide a variational analysis of diierential i...
متن کاملSecond-order Necessary Conditions for Discrete Inclusions with End Point Constraints
We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.
متن کاملOptimal Control of Delayed Differential-Algebraic Inclusions
This paper concerns constrained dynamic optimization problems governed by delayed differentialalgebraic systems. Dynamic constraints in such systems, which are particularly important for engineering applications, are described by interconnected delay-differential inclusions and algebraic equations. We pursue a two-hold goal: to study variational stability of such control systems with respect to...
متن کاملOptimization of Discrete and Differential Inclusions of Goursat-darboux Type Withstate Constraints
In the last decade, discrete and continuous time processes with lumped and distributed parameters found wide application in the field of mathematical economics and in problems of control dynamic system optimization and differential games [1–19]. The present article is devoted to an investigation of problems of this kind with distributed parameters, where the treatment is in finite-dimensional E...
متن کامل