An improved H∞ filtering for Markovian jump system with time-varying delay based on finite frequency domain

2019 ◽  
Vol 356 (12) ◽  
pp. 6724-6740 ◽  
Author(s):  
Nuo Xu ◽  
Liankun Sun
Keyword(s):  
Frequency Domain ◽  
Time Varying ◽  
Finite Frequency ◽  
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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