in the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. for this purpose, we replace the problem with an alternative optimal control problem in which the switching t...

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequ...

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for the descriptor positive systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of solution to the minimum energy control problem are given. Procedure for computation o...

A rate control problem is addressed for a queueing system in heavy traffic. The arrival process is stationary heavy-tailed On-Off process and service is done at a constantrate (controlled). With an infinite horizon discounted cost function, the main result shows the existence of an optimal rate and specifies a bound on this optimal rate. As a part of the analysis, we solve an approximating cont...

in this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive t-celland eective t-cell population of body, presented by fractional dierentialequations. we use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. wewill also investigate the optima...

Two important Quality-of-Service (QoS) measures for current cellular networks are the fractions of new and handoff “calls” that are blocked due to unavailability of “channels” (radio and/or computing resources). Based on these QoS measures, we derive optimal admission control policies for three problems: minimizing a linear objective function of the new and handoff call blocking probabilities (...

Abstract We consider an optimal control problem containing a system described by partial nonlinear differential equation with the fractional Dirichlet–Laplacian, associated to integral cost. investigate existence of solutions for such problem. In our study we use Filippov’s approach combined lower closure theorem orientor fields.

Abstract. In this paper, we deal with the impulsive control systems of fractional order and their optimal controls in Banach spaces. We firstly show the existence and uniqueness of mild solutions for a broad class of impulsive fractional infinite dimensional control systems under suitable assumptions. Then by using generally mild conditions of cost functionals, we extend the existence result of...

In this paper, a high-performance optimal fractional emotional intelligent controller for an Automatic Voltage Regulator (AVR) in power system using Cuckoo optimization algorithm (COA) is proposed. AVR is the main controller within the excitation system that preserves the terminal voltage of a synchronous generator at a specified level. The proposed control strategy is based on brain emotional ...

‎in the present paper we consider a time-fractional inverse diffusion problem‎, ‎where data is given at $x=1$ and the solution is required in the interval $0