Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations

The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.

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Bibliographic Details
Published in:Cybernetics and systems analysis 2017-07, Vol.53 (4), p.576-583
Main Authors: Lukashiv, T. O., Yasinsky, V. K.
Format: Article
Language:English
Subjects:
Artificial Intelligence
Control
Mathematics
Mathematics and Statistics
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Description
Summary:The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-017-9959-x