‎here‎, ‎we give a two phases algorithm based on integrating differential evolution (de) algorithm with modified hybrid genetic algorithm (mhga) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎in the first phase‎, ‎de starts with a completely random initial population where each individual‎, ‎or solution‎, ‎is a random matrix of control input v...

We develop a bicriteria model for the resource allocation problem in PERT networks, in which the total direct costs of the project as the first objective, and the mean of project completion time as the second objective are minimized. The activity durations are assumed to be independent random variables with either exponential or Erlang distributions, in which the mean of each activity duration ...

An optimal stochastic control problem is considered for systems with unbounded controls satisfying an integral constraint. It is shown that there exists an optimal control within the class of generalized controls leading to impulse actions. Applying an approach of time transformation, developed recently for deterministic systems, the original control problem is shown to be equivalent to an opti...

This paper presents the formulation of an optimal control methodology for nonlinear stochastic systems, where the control objective is to obtain a feedback law that would minimizes the higher order statistics associated with the traditional integral quadratic cost. The two part control scheme proposed here consist of approximating the probability density function associated with the nonlinear p...

In this paper, we talk about the application of fuzzy control techniques to the nonlinear systems. We propose a new scheme of fuzzy optimal control techniques in which T-S (Takagi-Sugeno) fuzzy model is used for the modeling. We adopt the PDC (parallel distributed control) as our controller which is also modeled by fuzzy rules. Both the discrete system case and the continuous system case are di...

then, under mild restrictions on Q, thc resulting feedback system is a "good" system by most classical criteria. An equally significant result is as follows [2 I. Given a feedback control law u = -k'x for the system (I), which is known to yield an asymptotically stable closed-loop system, then a ncccssary and sufficient condition for this control law to bc optimal with respcct to a performance ...

In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear parabolic value problem. The existence theorem for a CCCBOTCV stated and proved under suitable assumptions. mathematical formulation of adjoint associated with discovered. Fréchet derivative Hamiltonian derived. Under proper assumptions, both theorems a...