Stability analysis and observer design for discrete-time systems with interval time-varying delay

2015 ◽  
Vol 37 (2) ◽  
pp. 340-358 ◽  
Author(s):  
Yali Dong ◽  
Laijun Chen ◽  
Shengwei Mei
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Observer Design ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Varying Delay

scholarly journals Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Kuang-Yow Lian ◽  
Wen-Tsung Yang ◽  
Peter Liu
Keyword(s):  
Lyapunov Function ◽  
Discrete Time ◽  
Time Varying ◽  
Stability Criteria ◽  
Discrete Time System ◽  
Interval Time ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Varying Delay

We demonstrate an improved stability analysis based on a partition oriented technique for discrete-time systems with interval time-varying delay. The partition oriented technique introduces beneficial terms contributing to the negative definiteness of the Lyapunov function difference, meanwhile completely avoiding traditional inequality based approaches. In contrast, nonpartitioning oriented techniques do not put emphasis on further dividing the interval of the summation in the Lyapunov function. Herein, we demonstrate that the advantages of exploiting partitioning techniques manifest the relaxed stability criteria, as well as the flexibility to tune tradeoff between allowable timedelay range performance and computational load. Simulation carried out on a benchmark discrete-time system reveals the significant improvement in terms of maximum allowable upper bound in comparison.

scholarly journals Efficient Approach to Stability Analysis of Discrete-Time Systems with Time-Varying Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Sung Wook Yun ◽  
Sung Hyun Kim
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Stability Criterion ◽  
Control Input ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Robust Stability Analysis ◽  
Time Systems ◽  
Varying Delay

This paper aims at deriving an efficient criterion for the robust stability analysis of discrete-time systems with time-varying delay. In the derivation, to obtain a larger stability region under the requirement of less computational complexity, this paper proposes a valuable method capable of establishing a less conservative stability criterion without using the free-weighting approach and an extremely augmented state. In parallel, the stabilization problem of systems with time-delayed control input is addressed in connection with the derived stability criterion.

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