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p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Sufficient conditions for the pth mean exponential stability and stabilizability under a feedback control and stabilizing switching rules are derived.
A method for the construction of stabilizing switching rules based on the Lyapunov technique and the knowledge of regions of decreasing the Lyapunov functions for subsystems is given.
Two cases, including single Lyapunov function and a a single Lyapunov-like function, are discussed.
Obtained results are illustrated by examples.
American Psychological Association (APA)
Seroka, Ewelina& Socha, Lesław. 2013. p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-454418
Modern Language Association (MLA)
Seroka, Ewelina& Socha, Lesław. p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-454418
American Medical Association (AMA)
Seroka, Ewelina& Socha, Lesław. p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-454418
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454418