Delay-Partitioning Approach to Stability of Linear Discrete-Time Systems with Interval-Like Time-Varying Delay | Zendy

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

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Delay-Partitioning Approach to Stability of Linear Discrete-Time Systems with Interval-Like Time-Varying Delay

Author(s) -

Priyanka Kokil,

V. Krishna Rao Kandanvli,

Haranath Kar

Publication year - 2013

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2013/291976

Subject(s) - exponential stability , discrete time and continuous time , mathematics , weighting , partition (number theory) , bounded function , interval (graph theory) , control theory (sociology) , stability (learning theory) , linear matrix inequality , linear system , norm (philosophy) , mathematical optimization , computer science , nonlinear system , mathematical analysis , statistics , combinatorics , medicine , physics , control (management) , quantum mechanics , artificial intelligence , machine learning , political science , law , radiology

This paper is concerned with the problem of global asymptotic stability of linear discrete-time systems with interval-like time-varying delay in the state. By utilizing the concept of delay partitioning, a new linear-matrix-inequality-(LMI-) based criterion for the global asymptotic stability of such systems is proposed. The proposed criterion does not involve any free weighting matrices but depends on both the size of delay and partition size. The developed approach is extended to address the problem of global asymptotic stability of state-delayed discrete-time systems with norm-bounded uncertainties. The proposed results are compared with several existing results

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