On impulsive control of nonlinear dynamical systems based on the Volterra series

2011 ◽  
Author(s):  
Denis Sidorov
Keyword(s):  
Dynamical Systems ◽  
Volterra Series ◽  
Impulsive Control ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical

Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

2021 ◽  
Vol 152 ◽  
pp. 111290
Author(s):  
Hongjuan Wu ◽  
Chuandong Li ◽  
Zhilong He ◽  
Yinuo Wang ◽  
Yingying He
Keyword(s):  
Dynamical Systems ◽  
Impulsive Control ◽  
Nonlinear Dynamical Systems ◽  
Lag Synchronization ◽  
Nonlinear Dynamical

scholarly journals Analysis of Some Approaches to Modeling Nonlinear Dynamical Systems Using Polynomial Operators

2021 ◽  
Vol 43 (5) ◽  
pp. 3-20
Author(s):  
A.F. Verlan ◽  
◽  
L.O. Mitko ◽  
O.A. Dyachuk ◽  
◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Power Plants ◽  
Volterra Series ◽  
Nonlinear Dynamical Systems ◽  
Dynamic Properties ◽  
Surveillance Systems ◽  
Nonlinear Dynamical ◽  
Relevant Today ◽  
Polynomial Operators ◽  
The Mathematical Model

The problem of mathematical description of nonlinear dynamical systems remains relevant today, especially given the need to build modern surveillance systems for complex technical objects, such as power plants. The use of polynomial operators obtained with the help of shortened Volterra series to solve this problem, as practice has shown, proved to be promising, because this method allows to display in the mathematical model both nonlinear and dynamic properties of systems. For further development of the method, it is advisable to analyze diffe­rent approaches in order to build effective algorithms for obtaining and applying in the problems of monitoring the functioning of nonlinear systems.

Impulsive Control and Synchronization of Nonlinear Dynamical Systems and Application to Secure Communication

1997 ◽  
Vol 07 (03) ◽  
pp. 645-664 ◽  
Author(s):  
Tao Yang ◽  
Leon O. Chua
Keyword(s):  
Dynamical Systems ◽  
Differential Equations ◽  
Secure Communication ◽  
Impulsive Control ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical System ◽  
Impulsive Differential Equations ◽  
Channel Noise ◽  
Nonlinear Dynamical ◽  
Impulsive Synchronization

Impulsive control is a newly developed control theory which is based on the theory of impulsive differential equations. In this paper, we stabilize nonlinear dynamical systems using impulsive control. Based on the theory of impulsive differential equations, we present several theorems on the stability of impulsive control systems. An estimation of the upper bound of the impulse interval is given for the purpose of asymptotically controlling the nonlinear dynamical system to the origin by using impulsive control laws. In this paper, impulsive synchronization of two nonlinear dynamical systems is reformulated as impulsive control of the synchronization error system. We then present a theorem on the asymptotic synchronization of two nonlinear systems by using synchronization impulses. The robustness of impulsive synchronization to additive channel noise and parameter mismatch is also studied. We conclude that impulsive synchronization is more robust than continuous synchronization. Combining both conventional cryptographic method and impulsive synchronization of chaotic systems, we propose a new chaotic communication scheme. Computer simulation results based on Chua's oscillators are given.

Sign in / Sign up

Export Citation Format

Share Document