Extending LaSalle's invariance principle to impulsive switched systems with an application to hybrid epidemic dynamics

2010 ◽  
Author(s):  
Jun Liu ◽  
Xinzhi Liu ◽  
Wei-Chau Xie
Keyword(s):  
Invariance Principle ◽  
Switched Systems ◽  
Lasalle’S Invariance Principle ◽  
Epidemic Dynamics ◽  
Impulsive Switched Systems ◽  
Lasalle's Invariance Principle

SYNCHRONOUS AND ASYNCHRONOUS BRAIN-STATE-IN-A-BOX INFORMATION SYSTEM NEURAL MODELS

1999 ◽  
Vol 09 (01) ◽  
pp. 61-74 ◽  
Author(s):  
HUBERT Y. CHAN ◽  
STEFEN HUI ◽  
STANISLAW H. ŻAK
Keyword(s):  
Information System ◽  
United Nations ◽  
Invariance Principle ◽  
Brain State ◽  
Neural Models ◽  
Lasalle’S Invariance Principle ◽  
The United Nations ◽  
The Stability ◽  
Lasalle's Invariance Principle

Synchronous and asynchronous information system neural models are proposed that are hybrids of Pawlak's information system and Brain-State-in-a-Box (BSB) neural models. The stability of the proposed models is studied using LaSalle's Invariance Principle. Applications to an analysis of the United Nations activities are presented as examples.

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