On Constructing Multiple Lyapunov Functions for Tracking Control of Multiple Agents With Switching Topologies

2019 ◽  
Vol 64 (9) ◽  
pp. 3796-3803 ◽  
Author(s):  
Guanghui Wen ◽  
Wei Xing Zheng
Keyword(s):  
Tracking Control ◽  
Lyapunov Functions ◽  
Multiple Agents ◽  
Multiple Lyapunov Functions ◽  
Switching Topologies

Multiple Lyapunov Functions for Adaptive Neural Tracking Control of Switched Nonlinear Nonlower-Triangular Systems

2020 ◽  
Vol 50 (5) ◽  
pp. 1877-1886 ◽  
Author(s):  
Ben Niu ◽  
Yanjun Liu ◽  
Wanlu Zhou ◽  
Haitao Li ◽  
Peiyong Duan ◽  
...  
Keyword(s):  
Tracking Control ◽  
Lyapunov Functions ◽  
Multiple Lyapunov Functions ◽  
Triangular Systems

Stability of a Class of Piezoelectric State-Switching Methods

2000 ◽  
Author(s):  
Andrew J. Kurdila ◽  
William W. Clark ◽  
Weijian Wang ◽  
Dwayne E. McDaniel
Keyword(s):  
Lyapunov Functions ◽  
Closed Loop ◽  
Control Strategies ◽  
Short Circuit ◽  
Open Circuit ◽  
Hybrid Dynamical Systems ◽  
Multiple Lyapunov Functions ◽  
Control Laws ◽  
State Switching ◽  
The Stability

Abstract Experimental and anecdotal evidences have shown that state-switched control strategies for piezoelectric actuators can be advantageous. However, most discussions of the stability of these systems has relied on heuristic, or physically motivated, arguments. In this paper, we show that recent open-circuit/short-circuit state-switching control laws can be viewed as hybrid dynamical systems of Witsenhausen type. Within this framework, the closed-loop stability of OC/SC switching is rigorously established using the method of multiple Lyapunov functions.

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