scholarly journals Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times

2011 ◽  
Vol 250 (7) ◽  
pp. 2969-3001 ◽  
Author(s):  
S.M. Afonso ◽  
E.M. Bonotto ◽  
M. Federson ◽  
Š. Schwabik
Keyword(s):  
Invariance Principle ◽  
Differential Systems ◽  
Lasalle’S Invariance Principle ◽  
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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