scholarly journals A sliding mode approach to H∞ synchronization of master–slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties

2012 ◽  
Vol 349 (4) ◽  
pp. 1480-1496 ◽  
Author(s):  
Hamid Reza Karimi
Keyword(s):  
Time Delay ◽  
Sliding Mode ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Nonlinear Uncertainties

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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