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Further results on robust stability for uncertain neutral systems with distributed delay.

Tao Wu1, Lianglin Xiong1,2, Jinde Cao2

  • 11School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, China.

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|March 7, 2019
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This study establishes robust stability conditions for uncertain neutral systems with distributed delays. New methods reduce conservatism, offering practical solutions via linear matrix inequalities.

Keywords:
Delay-dependent stabilityLinear matrix inequalitiesLyapunov functionalRobust stabilityUncertain neutral delayed system

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Neutral systems with distributed delays present complex stability challenges.
  • Robust stability is crucial for reliable performance in uncertain dynamic environments.
  • Existing methods often lack reduced conservatism or computational efficiency.

Purpose of the Study:

  • To develop novel, less conservative delay-dependent stability conditions for uncertain neutral systems.
  • To establish robustness conditions for uncertain linear delayed systems.
  • To provide computationally efficient stability analysis methods.

Main Methods:

  • Novel Lyapunov-Krasovskii functional construction.
  • New integral inequality techniques.
  • Formulation of stability conditions using linear matrix inequalities (LMIs).

Main Results:

  • Reduced-conservative, delay-dependent asymptotic stability conditions are derived.
  • Robustness conditions for uncertain linear delayed systems are established.
  • All conditions are presented in easily computable LMI forms.

Conclusions:

  • The proposed methods offer improved stability analysis for uncertain neutral systems.
  • The LMI-based approach ensures practical applicability and computational efficiency.
  • The results demonstrate superior performance compared to existing techniques.