Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. II: First-approximation stability of stochastic impulse systems with Markov parameters (Q1040412)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. II: First-approximation stability of stochastic impulse systems with Markov parameters |
scientific article; zbMATH DE number 5637627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. II: First-approximation stability of stochastic impulse systems with Markov parameters |
scientific article; zbMATH DE number 5637627 |
Statements
Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. II: First-approximation stability of stochastic impulse systems with Markov parameters (English)
0 references
24 November 2009
0 references
In this paper the authors consider a stochastic differential system subjected to impulse Markov switchings. By using the method of Lyapunov functions they study the asymptotic p-stability, the asymptotic stochastic stability and mean square exponential stability. For Part I see Cybern. Syst. Anal. 45, No. 2, 281--290 (2009); translation from Kibern. Sist. Anal. 2009, No. 2, 135--145 (2009; Zbl 1190.93101).
0 references
stochastic dynamic system
0 references
autonomous system
0 references
asymptotic stability
0 references
exponential stability
0 references
stability in probability
0 references
asymptotic stability in probability
0 references
p-stability
0 references
