Finite-time stabilization of stochastic coupled systems on networks with Markovian switching via feedback control

2020 ◽  
Vol 537 ◽  
pp. 122797 ◽  
Author(s):  
Yongbao Wu ◽  
Haihua Guo ◽  
Wenxue Li
Keyword(s):  
Feedback Control ◽  
Finite Time ◽  
Markovian Switching ◽  
Coupled Systems ◽  
Finite Time Stabilization

L1 finite-time stabilization for positive semi-Markovian switching systems

2019 ◽  
Vol 477 ◽  
pp. 321-333 ◽  
Author(s):  
Wenhai Qi ◽  
Ju H. Park ◽  
Guangdeng Zong ◽  
Jun Cheng
Keyword(s):  
Finite Time ◽  
Markovian Switching ◽  
Switching Systems ◽  
Markovian Switching Systems ◽  
Finite Time Stabilization

Finite-time stabilization of stochastic coupled systems on networks by feedback control and its application

2019 ◽  
Vol 37 (3) ◽  
pp. 814-830
Author(s):  
Yongbao Wu ◽  
Wenxue Li ◽  
Jiqiang Feng
Keyword(s):  
Finite Time ◽  
Coupled Oscillators ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Coupled Systems ◽  
Convergence Time ◽  
Practical Application ◽  
Finite Time Stability ◽  
Finite Time Stabilization ◽  
Theoretical Results

Abstract In this paper, the finite-time stabilization of stochastic coupled systems on networks (SCSNs) is studied. Different from previous research methods, the method used in this paper combines Lyapunov method with graph theory, and some novel sufficient conditions are obtained to ensure finite-time stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks. As a practical application in physics, we address a concrete finite-time stabilization problem of stochastic coupled oscillators through our main results. In addition, a numerical example is presented to illustrate the effectiveness and feasibility of the theoretical results.

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