New delay-range-dependent robust exponential stability criteria for uncertain linear systems with discrete interval and distributed time-varying delays and nonlinear perturbations
2015 ◽
Vol 08
(03)
◽
pp. 1550061
Keyword(s):
In this paper, we investigate the problem of robust exponential stability analysis for uncertain linear systems with discrete interval time-varying delay, distributed time-varying delay and nonlinear perturbations. Based on constructing an augmented Lyapunov–Krasovskii functional with some parameter, decomposition technique of coefficient matrix, mixed model transformation with Leibniz–Newton formula and utilization of zero equations, new delay-range-dependent robust exponential stability criteria are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the superiority of our results to those in the literature.
2019 ◽
Vol 1334
◽
pp. 012010
2014 ◽
Vol 93
(3)
◽
Keyword(s):
2013 ◽
Vol 284-287
◽
pp. 2305-2309
Keyword(s):
2013 ◽
Vol 26
(2)
◽
pp. 175-186
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Keyword(s):
Keyword(s):
2011 ◽
Vol 9
(4)
◽
pp. 559-566
◽
Keyword(s):
2013 ◽
Vol 479-480
◽
pp. 983-988