Estimations of solutions convergence of hybrid systems consisting of linear equations with delay

A.A. Martynyuk (Editor), D. Khusainov, Romanus Langerak, O. Kuzmych

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    Abstract

    The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.
    Original languageUndefined
    Pages (from-to)169-186
    Number of pages18
    JournalNonlinear dynamics and systems theory
    Volume7
    Issue numberLNCS4549/2
    Publication statusPublished - 2007

    Keywords

    • MSC-34K06
    • MSC-34K20
    • differential-difference equation
    • METIS-241872
    • MSC-34O20
    • Hybrid System
    • stable system
    • IR-61899
    • Lyapunov-Krasovsky functional
    • EWI-10983

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