scholarly journals Observer-based sliding mode mixed H∞and passive control for Markovian jump system with mode-dependent time-varying delay

2020 ◽  
Author(s):  
Huan Li ◽  
Yuechao Ma
Keyword(s):  
Passive Control ◽  
Sliding Mode ◽  
Time Varying ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Fangqing Ding ◽  
Xianfa Jiao
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Mean Square ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Time Varying Delay ◽  
Saturating Actuators ◽  
Singular Markovian Jump Systems ◽  
Varying Delay ◽  
Stability In Mean Square

This paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay. The statistical property of the Markov process is fully used to derive the differential of the function. By using a delay decomposition method, a mode-dependent Lyapunov-Krasovskii function is established. A sufficient condition is proposed for exponential stability in mean square of the system designing the memoryless state feedback. A numerical example shows that the approach proposed is effective.

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