Optimal Control of Lorenze System in Finite and Infinite Time Intervals
Bukhari, Awad El-Gohary, Fawzy . 2003
The problem of optimal control of the equilibrium states of the Lorenz system in both finite and infinite time intervals has been studied. The optimal control functions ensuring asymptotic stability of desired states in both cases are obtained as functions of the phase state and time. The squared Euclidean norm of the perturbed state of the Lorenz system in both cases is obtained as transcendental function of time. As an applications, it was shown that the equilibrium states of the Lorenz system are asymptotic stable. Graphical and numerical simulation studies for the obtained results are presented.
This study presents an integrated generation and transmission network expansion planning (GTEP) model to
identify the optimal size and site of generators and lines.…
Increasing the proportion of renewable energy sources (RESs) in power generation is crucial due to fossil fuel
depletion and rising environmental pollution. In this…
A spatial stochastic model to study the optimal stabilization of the steady-states of the genital herpes epidemic is introduced. The steady-states of this model are found. The stability and…