Robotic locomotion of three generations of a family tree of dynamical systems. Part II: Impulsive control of gait patterns

2013 ◽  
Vol 73 (3) ◽  
pp. 1991-2012 ◽  
Author(s):  
Ali Tavakoli ◽  
Yildirim Hurmuzlu
Keyword(s):  
Dynamical Systems ◽  
Impulsive Control ◽  
Family Tree ◽  
Gait Patterns ◽  
Robotic Locomotion ◽  
Three Generations

SYNCHRONIZATION OF IMPULSIVELY COUPLED SYSTEMS

2008 ◽  
Vol 18 (05) ◽  
pp. 1539-1549 ◽  
Author(s):  
XIUPING HAN ◽  
JUN-AN LU ◽  
XIAOQUN WU
Keyword(s):  
Dynamical Systems ◽  
Control Strategy ◽  
Impulsive Control ◽  
Coupled Model ◽  
Coupled Systems ◽  
Single System ◽  
Impulsive Synchronization ◽  
The Past ◽  
Impulsive Control Strategy ◽  
Control And Synchronization

In the past years, impulsive control for a single system and impulsive synchronization between two systems have been extensively studied. However, investigation on impulsive control and synchronization of complex networks has just started. In these studies, a network is continuously coupled, and then is synchronized by using impulsive control strategy. In this paper, a new and different coupled model is proposed, where the systems are coupled only at discrete instants through impulsive connections. Several criteria for synchronizing such kind of impulsively coupled complex dynamical systems are established. Two examples are also worked through for illustrating the main results.

scholarly journals Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation

2019 ◽  
Vol 24 (5) ◽  
Author(s):  
Liangliang Li ◽  
Chuandong Li ◽  
Wei Zhang
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
Actuator Saturation ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Control Input ◽  
Transmission Delays ◽  
Input Variables ◽  
Discrete Time Dynamical Systems ◽  
Delayed Impulsive Control

This paper focuses on the problem of time-delayed impulsive control with actuator saturation for discrete-time dynamical systems. By establishing a delayed impulsive difference inequality, combining with convex analysis and inequality techniques, some sufficient conditions are obtained to ensure exponential stability for discrete-time dynamical systems via time-delayed impulsive controller with actuator saturation. The designed controller admits the existence of some transmission delays in impulsive feedback law, and the control input variables are required to stay within an availability zone. Several numerical simulations are also given to demonstrate the effectiveness of the proposed results. 

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

Chaotification of discrete dynamical systems via impulsive control

2009 ◽  
Vol 373 (25) ◽  
pp. 2131-2136 ◽  
Author(s):  
Na Liu ◽  
Zhi-Hong Guan
Keyword(s):  
Dynamical Systems ◽  
Impulsive Control ◽  
Discrete Dynamical Systems
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