H8Filtering for time‐delay systems with Markovian jumping parameters: Delay partitioning approach

2010 ◽  
Vol 33 (3) ◽  
pp. 357-365 ◽  
Author(s):  
Jinliang Liu ◽  
Wenguang Yu ◽  
Zhou Gu ◽  
Songlin Hu
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Delay Partitioning

Robust Stabilizability of Uncertain Linear Time-Delay Systems With Markovian Jumping Parameters

1996 ◽  
Vol 118 (4) ◽  
pp. 776-783 ◽  
Author(s):  
K. Benjelloun ◽  
E. K. Boukas ◽  
H. Yang
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Linear Type ◽  
Continuous State ◽  
The Stability

In this paper, we deal with the robust stabilizability of the class of uncertain linear time-delay systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption of the complete access to the continuous state, the stochastic controllability of the nominal system and the boundedness of the system’s uncertainties, sufficient conditions which guarantee the robustness of the stability of this class of systems are given. The control law which guarantees the robustness of the stabilizability is linear-type or saturation-type. An example is presented to illustrate the usefulness of the proposed theoretical results.

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