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.
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…
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…
Optimal control of stochastic prey–predator models during infinite and finite time intervals is considered. Optimal feedback controlling functions are derived as non-linear functions of the…