Further Results on Stability of Linear Discrete Time Delay Systems Over the Finite Time Interval: A Quite New Approach

 

Dragutin Debeljković

Sreten Stojanović

Nebojša Dimitrijević

 

This paper gives sufficient conditions for the practical and finite time stability of of a particular class of linear discrete time delay systems. . When we consider the finite time stability concept, these new, delay independent conditions are derived using an approach based on the Lyapunov – like functions. When the practical and attractive practical stability are considered, the above mentioned approach is combined and supported by a classical Lyapunov technique to guarantee  atractivity  properties of the system behavior.

Key words: linear system, discrete system, time delay system, system over the finite time interval, system stability, Non-Lyapunov stability, asymptotic stability.