A new integral inequality and application to stability of time-delay systems

Ren

2020

IEEE Access

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This paper is concerned with a new stability criterion for systems with time-varying delays. Firstly, a generalized integral inequality is proposed, which includes some existing inequalities as special cases. Then, a new stability criterion is derived by choosing some new Lyapunov-Krasovskii functionals. Finally, the effectiveness of our method is shown by a numerical example. INDEX TERMS Time-delay system, linear matrix inequality (LMI), integral inequality, Lyapunov-Krasovskii functional (LKF).

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Systems With Time-Varying Delays via an Improved Integral Inequality

Ren

2020

IEEE Access

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“…and Ω 3 are the same as in Lemma 2. en, a new integral inequality was proposed in [22] to further reduce the conservatism. But the integral inequality can only deal with the constant time delay.…”

Section: Introductionmentioning

confidence: 99%

A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Liu

2020

Complexity

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.

“…du 1 was not considered in [12], which may yield conservative results. en, a new integral inequality was proposed in [13] to consider the relationship fully. But the integral inequality was only used to handle the constant time delay.…”

Section: Introductionmentioning

confidence: 99%

“…e highlights of our paper are as follows. (1) e features of the new integral inequality in [13] are fully integrated into the construction of the LKF. (2) A less conservative stability criterion is proposed in terms of an LMI without the assumption on the derivative of time-varying delay h(t).…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality

Ren

2020

Complexity

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