Observer-based robust finite time H ∞ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate

2016 ◽  
Vol 61 ◽  
pp. 29-48 ◽  
Author(s):  
Lijun Gao ◽  
Xiaoxiao Jiang ◽  
Dandan Wang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Transition Rate ◽  
Sliding Mode ◽  
Markovian Switching ◽  
Switching Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Markovian Switching Systems ◽  
Varying Delay

scholarly journals Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Ying Liu ◽  
Fei Chen ◽  
Bin Yang ◽  
Xin Wang ◽  
Weiming Wang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Time Estimation ◽  
Markovian Switching ◽  
Convergence Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
The Impact ◽  
Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.

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