4.4 Article

Robust Exponential Stabilization Results for Impulsive Neutral Time-Delay Systems with Sector-Bounded Nonlinearity

Journal

CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 33, Issue 9, Pages 2741-2759

Publisher

SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-014-9771-z

Keywords

Exponential stabilization; Neutral systems; Linear matrix inequality; Lyapunov-Krasovskii functional; Impulsive control

Funding

  1. University Grants Commission-Special Assistance Program (Departmental Research Support II), Government of India, New Delhi [F.510/2/DRS/2009(SAP-I)]

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In this paper, the problem of robust exponential stabilization analysis for nonlinear neutral systems with time-varying delays under impulsive control is addressed. Sufficient delay-dependent exponential stabilization results are derived in terms of linear matrix inequalities by constructing suitable Lyapunov-Krasovskii functional. The control gain matrices are designed using impulsive state-feedback control approach. Also, the nonlinear function is assumed to satisfy the sector-bounded condition which includes Lipschitz condition as a special case. Further numerical examples are provided to show the effectiveness of the derived results.

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