Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

2019 ◽  
Vol 50 (15) ◽  
pp. 2824-2837 ◽  
Author(s):  
Dinh Cong Huong ◽  
Nguyen Huu Sau
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Time Varying ◽  
Positive Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Time Linear

scholarly journals New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Sreten B. Stojanovic
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Maximum Delay ◽  
Varying Delay

The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature.

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