Finite time stability of fractional-order non-linear systems with interval time-varing delay: A linear matrix inequality approach
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  • Finite time stability of fractional-order non-linear systems with interval time-varing delay: A linear matrix inequality approach

Finite time stability of fractional-order non-linear systems with interval time-varing delay: A linear matrix inequality approach

Thời gian: 14:00 đến 17:00 ngày 27/03/2018, 14:00 đến 17:00 ngày 03/04/2018,

Địa điểm: B4-705, VIASM

Tóm tắt:

This paper investigates finite-time stability problem of fractional-order nonlinear systems with interval time-varing delay. Based on the properties of Caputo fractional derivatives and the Laplace transform,  a delay-dependent sufficient condition for finite-time stability of such systems is established in terms of the Mittag-Leffler function and  linear matrix inequalities (LMIs). The obtained results are applied to finite-time stability of linear uncertain systems with time-varying delays. A numerical example is given to show the effectiveness of the obtained result.