Lyapunov Characterization for the Stability of Stochastic Control Systems-Reference-Cited by-同舟云学术

Lyapunov Characterization for the Stability of Stochastic Control Systems

Published:2015 Issue: Volume:2015 Page:1-7
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Abedi Fakhreddin¹²,Leong Wah June¹,Abedi Mohammad³

Affiliation:

1. Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

2. Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137 66731, Iran

3. Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran 16589 53571, Iran

Abstract

Lyapunov-like characterization for the problem of input-to-state stability in the probability of nonautonomous stochastic control systems is established. We extend the well-known Artstein-Sontag theorem to derive the necessary and sufficient conditions for the input-to-state stabilization of stochastic control systems. Illustrating example is provided.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2015/584935.pdf

Reference21 articles.

1. Lyapunov Characterizations of Input to Output Stability

2. A characterization of integral input-to-state stability

3. Input-to-state dynamical stability and its Lyapunov function characterization

4. A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization

5. Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Verifying Asymptotic Temporal Properties of Continuous-State Probabilistic Systems;IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems;2021-09

2. Path-Following Control Method for Surface Ships Based on a New Guidance Algorithm;Journal of Marine Science and Engineering;2021-02-06

3. Stabilization of nonlinear stochastic systems without unforced dynamics via time--varying feedback;Kybernetika;2018-04-28

4. Time-Varying Stabilizers for Stochastic Systems with no Unforced Dynamics;Asian Journal of Control;2017-12-05

5. Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback;Kybernetika;2017-02-06