Analysis of hybrid systems’ dynamics using the common Lyapunov functions and multiple homomorphisms

2011 ◽  
Vol 72 (6) ◽  
pp. 1163-1183 ◽  
Author(s):  
S. N. Vassilyev ◽  
A. A. Kosov
Keyword(s):  
Hybrid Systems ◽  
Lyapunov Functions ◽  
Systems Dynamics ◽  
The Common ◽  
Common Lyapunov Functions

scholarly journals Learning Lyapunov Functions for Hybrid Systems

2021 ◽  
Author(s):  
Shaoru Chen ◽  
Mahyar Fazlyab ◽  
Manfred Morari ◽  
George J. Pappas ◽  
Victor M. Preciado
Keyword(s):  
Hybrid Systems ◽  
Lyapunov Functions

Stability Analysis for a Class of Linear Switched Positive Systems

2012 ◽  
Vol 562-564 ◽  
pp. 2084-2087
Author(s):  
Hui Ding ◽  
Xu Yang Lou
Keyword(s):  
Lyapunov Functions ◽  
Dwell Time ◽  
Positive Systems ◽  
Time Analysis ◽  
Arbitrary Switching ◽  
The Family ◽  
The Common ◽  
The Stability ◽  
Switched Positive Systems ◽  
Explicit Relation

This paper addresses stability properties of linear switched positive systems composed of continuous-time subsystems and discrete-time subsystems. Based on the common linear copositive Lyapunov functions, stability of the positive systems is discussed under arbitrary switching. Moreover, a sufficient condition on the minimum dwell time that guarantees the stability of linear switched positive systems. The dwell time analysis interprets the stability of linear switched positive systems through the distance between the eigenvector sets. Thus, an explicit relation in view of stability is obtained between the family of the involved subsystems and the set of admissible switching signals.

Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness

2007 ◽  
Vol 52 (7) ◽  
pp. 1264-1277 ◽  
Author(s):  
Chaohong Cai ◽  
Andrew R. Teel ◽  
Rafal Goebel
Keyword(s):  
Hybrid Systems ◽  
Lyapunov Functions
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