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Novel delay-dependent stability criterion for time-varying delay systems with parameter uncertainties and nonlinear perturbations

Authors
Journal
Information Sciences
0020-0255
Publisher
Elsevier
Volume
281
Identifiers
DOI: 10.1016/j.ins.2014.05.048
Keywords
  • Time-Varying Delay System
  • Parameter Uncertainty
  • Nonlinear Perturbation
  • Linear Matrix Inequality
  • Lyapunov–Krasovskii Functional

Abstract

Abstract This study proposes a novel approach to obtain less conservative conditions for the robust stability analysis for time-varying delay systems with parameter uncertainties and nonlinear perturbations. Specifically, first, we divide the time-varying delay into non-uniformly subintervals and decompose the corresponding integral intervals to estimate the bounds of integral terms more exactly. Second, novel delay-derivation-dependent stability criteria are derived by introducing a parameter γ in the Lyapunov–Krasovskii functional. Third, we define some new variables to deal with uncertain parameters. Finally, two numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.

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