Improved Razumikhin and Krasovskii approaches for discrete-time time-varying time-delay systems

Automatica ◽  
2018 ◽  
Vol 91 ◽  
pp. 256-269 ◽  
Author(s):  
Bin Zhou
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Varying Time Delay

Symbolic models for time-varying time-delay systems via alternating approximate bisimulation

2014 ◽  
Vol 25 (14) ◽  
pp. 2328-2347 ◽  
Author(s):  
Giordano Pola ◽  
Pierdomenico Pepe ◽  
Maria Domenica Di Benedetto
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Varying Time Delay

scholarly journals Robustl2-l∞Filtering for Discrete-Time Delay Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Chengming Yang ◽  
Zhandong Yu ◽  
Pinchao Wang ◽  
Zhen Yu ◽  
Hamid Reza Karimi ◽  
...  
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Estimation Error ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Time Varying Delay ◽  
Discrete Time Delay ◽  
Error System ◽  
Varying Delay

The problem of robustl2-l∞filtering for discrete-time system with interval time-varying delay and uncertainty is investigated, where the time delay and uncertainty considered are varying in a given interval and norm-bounded, respectively. The filtering problem based on thel2-l∞performance is to design a filter such that the filtering error system is asymptotically stable with minimizing the peak value of the estimation error for all possible bounded energy disturbances. Firstly, sufficientl2-l∞performance analysis condition is established in terms of linear matrix inequalities (LMIs) for discrete-time delay systems by utilizing reciprocally convex approach. Then a less conservative result is obtained by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices. Moreover, the robustl2-l∞filter is designed for systems with time-varying delay and uncertainty. Finally, a numerical example is given to demonstrate the effectiveness of the filter design method.

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