4.6 Article

Neural network hybrid adaptive control for nonlinear uncertain impulsive dynamical systems

Journal

NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 2, Issue 3, Pages 862-874

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2008.01.002

Keywords

Hybrid adaptive control; Neural networks; Nonlinear hybrid systems; Impulsive dynamical systems; System uncertainty; Stabilization; Sector-bounded nonlinearities

Funding

  1. Japan Science and Technology Agency under CREST program
  2. Air Force Office of Scientific Research [FA9550-06-1-0240]

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A neural network hybrid adaptive control framework for nonlinear uncertain hybrid dynamical systems is developed. The proposed hybrid adaptive control framework is Lyapunov-based and guarantees partial asymptotic stability of the closed-loop hybrid system; that is, asymptotic stability with respect to part of the closed-loop system states associated with the hybrid plant states. A numerical example is provided to demonstrate the efficacy of the proposed hybrid stabilization approach. (C) 2008 Elsevier Ltd. All rights reserved.

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