H∞ performance analysis for discrete-time systems with additive time-varying delays

2010 ◽  
Vol 13 (2) ◽  
pp. 338-344 ◽  
Author(s):  
Xian-Ming Tang ◽  
Jin-Shou Yu
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
Time Varying ◽  
Discrete Time Systems ◽  
Time Systems

Delay-Partitioning Approach to H∞ Performance Analysis of Discrete-Time Systems with Interval Time-Varying Delay

2013 ◽  
Vol 427-429 ◽  
pp. 1364-1367 ◽  
Author(s):  
Li Lee ◽  
Hsing Jen Tsai
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
Jensen Inequality ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Delay Partition Approach ◽  
Time Systems ◽  
Delay Partitioning ◽  
Varying Delay

The paper addresses performance analysis of discrete-time systems with time-varying delay of value bounded in a known interval. A set of sufficient LMI conditions is obtained from using the Jensen inequality to ensure asymptotical stability and-norm bounded by a specified value. The delay partition technique is exploited further to reduce the conservativeness induced by the Jensen inequality treatment. Simulation results show the benefit of the used delay partition approach.

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