scholarly journals On dynamical identification of control in a system with time delay

2012 ◽  
Vol 22 (1) ◽  
pp. 5-15 ◽  
Author(s):  
Vyacheslav Maksimov
Keyword(s):  
Time Delay ◽  
Dynamical Systems ◽  
Feedback Control ◽  
Differential Equations ◽  
Computational Errors ◽  
System With Time Delay

On dynamical identification of control in a system with time delayThe problem of identification of a control through results of observations of phase states of dynamical systems described by differential equations with time delay is discussed. The paper presents an algorithm based on the method of feedback control with a model. The algorithm is stable with respect to informational noises and computational errors.

ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS

2008 ◽  
Vol 19 (10) ◽  
pp. 1477-1494 ◽  
Author(s):  
GAMAL M. MAHMOUD ◽  
MANSOUR E. AHMED ◽  
EMAD E. MAHMOUD
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Differential Equations ◽  
Bifurcation Analysis ◽  
State Feedback ◽  
State Feedback Control ◽  
Lyapunov Dimension ◽  
First Order ◽  
Autonomous Differential Equations

This paper introduces and analyzes new hyperchaotic complex Lorenz systems. These systems are 6-dimensional systems of real first order autonomous differential equations and their dynamics are very complicated and rich. In this study we extend the idea of adding state feedback control and introduce the complex periodic forces to generate hyperchaotic behaviors. The fractional Lyapunov dimension of the hyperchaotic attractors of these systems is calculated. Bifurcation analysis is used to demonstrate chaotic and hyperchaotic behaviors of our new systems. Dynamical systems where the main variables are complex appear in many important fields of physics and communications.

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