Regional stability and performance analysis for a class of nonlinear discrete-time systems

2003 ◽  
Author(s):  
D.F. Coutinho ◽  
M. Fu ◽  
A. Trofino
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
Regional Stability ◽  
Discrete Time Systems ◽  
And Performance ◽  
Time Systems

scholarly journals A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Fengying Xu ◽  
Daxin Li
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
System Approach ◽  
Descriptor System ◽  
Linear Matrix ◽  
Quadratic Cost ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Time Systems ◽  
Delay Dependent Stability

A simplified descriptor system approach is proposed for discrete-time systems with delays in terms of linear matrix inequalities. In comparison with the results obtained by combining the descriptor system approach with recently developed bounding technique, our approach can remove the redundant matrix variables while not reducing the conservatism. It is shown that the bounding technique is unnecessary in the derivation of our results. Via the proposed method, delay-dependent results on quadratic cost andH∞performance analysis are also presented.

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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