New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays | Zendy

Narongsak Yotha | Zendy; Kanit Mukdasai | Zendy

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New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays

Author(s) -

Narongsak Yotha,

Kanit Mukdasai

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/929725

Subject(s) - interval (graph theory) , mathematics , control theory (sociology) , stability (learning theory) , discrete time and continuous time , model transformation , transformation (genetics) , linear matrix inequality , matrix (chemical analysis) , computer science , mathematical optimization , control (management) , statistics , biochemistry , chemistry , geometry , consistency (knowledge bases) , combinatorics , artificial intelligence , machine learning , gene , materials science , composite material

This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods

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