Stability Analysis of Solutions to an Optimal Control Problem Associated with a Goursat-darboux Problem†
نویسندگان
چکیده
The question of the continuous dependence of solutions to an optimal control problem on data (the so-called stability analysis of solutions or well-posedness) is very important from the point of view of practical applications of theory. Indeed, if the problem is related to a physical phenomenon, its data can be considered only an arbitrarily close approximation to exact values. Consequently, if the solution does not depend continuously on the data, it is not actually determined.
منابع مشابه
The Bang-bang Principle for the Goursat-darboux Problem*
In the paper, the bang-bang principle for a control system connected with a system of linear nonautonomous partial differential equations of hyperbolic type (the socalled Goursat-Darboux problem or continuous Fornasini-Marchesini problem) is proved. Some density result is also obtained.
متن کاملA Neural Network Method Based on Mittag-Leffler Function for Solving a Class of Fractional Optimal Control Problems
In this paper, a computational intelligence method is used for the solution of fractional optimal control problems (FOCP)'s with equality and inequality constraints. According to the Ponteryagin minimum principle (PMP) for FOCP with fractional derivative in the Riemann- Liouville sense and by constructing a suitable error function, we define an unconstrained minimization problem. In the optimiz...
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 کاملControl Stability Evaluation of Multiple Distribution Static Compensators based on Optimal Coefficients using Salp Swarm Algorithm
In order to solve the problem of voltage drop and voltage imbalance in the distribution systems, the injection of reactive power by multiple static compensators is used. The distributed generation such as photovoltaic systems could play a role of the static compensators by producing reactive power. In this paper, the integral to droop line algorithm is used to control the reactive power in busb...
متن کاملA full ranking method using integrated DEA models and its application to modify GA for finding Pareto optimal solution of MOP problem
This paper uses integrated Data Envelopment Analysis (DEA) models to rank all extreme and non-extreme efficient Decision Making Units (DMUs) and then applies integrated DEA ranking method as a criterion to modify Genetic Algorithm (GA) for finding Pareto optimal solutions of a Multi Objective Programming (MOP) problem. The researchers have used ranking method as a shortcut way to modify GA to d...
متن کامل