Stability analysis of systems with two additive time-varying delay components via the zero-valued equations | IEEE Conference Publication | IEEE Xplore

Stability analysis of systems with two additive time-varying delay components via the zero-valued equations


Abstract:

In the case of introducing the double integral state into the augmented vector, the time-varying delay square terms in the derivative of the Lyapunov-Krasovskii functiona...Show More

Abstract:

In the case of introducing the double integral state into the augmented vector, the time-varying delay square terms in the derivative of the Lyapunov-Krasovskii functional (LKF) usually needs to be treated with some negative-determination lemmas in the existing literatures, which are only sufficient conditions and are conservative to some extent. In this work, by introducing some new augmented variables, some zero-valued equations are proposed to avoid the appearance of these time-varying delay square terms, which have great potential to reduce the conservatism. Then, a stability result in terms of linear matrix inequalities is derived via the presented zero-valued equations. Finally, a representative example is provided to testify the usefulness and meliority of the raised stability criterion.
Date of Conference: 17-20 October 2022
Date Added to IEEE Xplore: 09 December 2022
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Conference Location: Brussels, Belgium

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I. Introduction

Time-varying delay is an universal phenomenon in a wide variety of practical systems [1]–[3], and even the signals transmitted may come through a few network segments with diverse transmission conditions, resulting in a variety of time-varying delays with different properties, which is a considerable factor leading to system instability [4]–[7]. Considering that merging them together may omit some characteristics of delays, the research on the stability of system with two additive time-varying delays has very important meaning accordingly.

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References

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