scholarly journals On the asymptotic stability of linear discrete time-delay systems: The Lyapunov approach

2006 ◽  
Vol 60 (3-4) ◽  
pp. 78-81
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic ◽  
Ilija Mladenovic
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Discrete Delay ◽  
Lyapunov Approach ◽  
Numerical Example ◽  
Discrete Time Delay ◽  
The Stability

New conditions for the stability of discrete delay systems of the form x (k+1) = Arjx (k) + Aix (k-h) are presented in the paper. These new delay-independent conditions were derived using an approach based on the second Lyapunov's method. These results are less conservative than some in the existing literature. A numerical example was worked out to show the applicability of the derived results.

scholarly journals On the Asymptotic Stability of Linear Discrete Time Delay Systems

Volume 1 ◽  
2004 ◽  
Author(s):  
S. B. Stojanovic ◽  
D. Lj. Debeljkovic
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Numerical Example ◽  
Discrete Time Delay ◽  
Time Invariant ◽  
Working Out

This paper extends some of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. These results are given in the form of only sufficient conditions and represent other generalisation of some previous ones or completely new results. In the latter case it is easy to show that, in the most cases, these results are less conservative then those in existing literature. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such results have not yet been reported.

scholarly journals A Lyapunov-Krasovskii methodology for asymptotic stability of discrete time delay systems

2007 ◽  
Vol 4 (2) ◽  
pp. 109-117 ◽  
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic ◽  
Ilija Mladenovic
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Stability Condition ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Numerical Example ◽  
Discrete Time Delay ◽  
Working Out

This paper presents a Lyapunov-Krasovskii methodology for asymptotic stability of discrete time delay systems. Based on the methods, delay-independent stability condition is derived. A numerical example has been working out to show the applicability of results derived.

Stabilization of Linear Discrete Time Delay Systems with Additive Disturbance and Saturating Actuators

2000 ◽  
Vol 33 (14) ◽  
pp. 261-266
Author(s):  
Sophie Tarbouriech ◽  
Germain Garcia ◽  
Pedro L.D. Peres ◽  
Isabelle Queinnec
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Saturating Actuators ◽  
Discrete Time Delay
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