Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay

2010 ◽  
Vol 4 (10) ◽  
pp. 2152-2159 ◽  
Author(s):  
H. Huang ◽  
G. Feng
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Time Systems ◽  
Delay Dependent Stability ◽  
Varying Delay

scholarly journals Stability Criteria for Uncertain Discrete-Time Systems under the Influence of Saturation Nonlinearities and Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Siva Kumar Tadepalli ◽  
V. Krishna Rao Kandanvli ◽  
Haranath Kar
Keyword(s):  
Discrete Time ◽  
Time Varying ◽  
Stability Criteria ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Forward Difference ◽  
Delay Dependent ◽  
Time Systems ◽  
Delay Dependent Stability ◽  
Varying Delay

The problem of global asymptotic stability of a class of uncertain discrete-time systems in the presence of saturation nonlinearities and interval-like time-varying delay in the state is considered. The uncertainties associated with the system parameters are assumed to be deterministic and normbounded. The objective of the paper is to propose stability criteria having considerably smaller numerical complexity. Two new delay-dependent stability criteria are derived by estimating the forward difference of the Lyapunov functional using the concept of reciprocal convexity and method of scale inequality, respectively. The presented criteria are compared with a previously reported criterion. A numerical example is provided to illustrate the effectiveness of the presented criteria.

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