Stability Analysis of Linear Discrete-Time Systems with Interval Delay: A Delay-Partitioning Approach | Zendy

Priyanka Kokil | Zendy; Haranath Kar | Zendy; V. Krishna Rao Kandanvli | Zendy

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Stability Analysis of Linear Discrete-Time Systems with Interval Delay: A Delay-Partitioning Approach

Author(s) -

Priyanka Kokil,

Haranath Kar,

V. Krishna Rao Kandanvli

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/624127

Subject(s) - partition (number theory) , mathematics , control theory (sociology) , interval (graph theory) , stability (learning theory) , exponential stability , discrete time and continuous time , linear system , computer science , nonlinear system , mathematical analysis , statistics , control (management) , combinatorics , physics , artificial intelligence , machine learning , quantum mechanics

This paper considers the problem of asymptotic stability of linear discrete-time systems with interval-like time-varying delay in the state. By using a delay partitioning-based Lyapunov functional, a new criterion for the asymptotic stability of such systems is proposed in terms of linear matrix inequalities (LMIs). The proposed stability condition depends on both the size of delay and partition size. The presented approach is compared with previously reported approaches.

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