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Brief paper: exponential stabilisation of non-standard nonlinear singularly perturbed system

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2 Author(s)
K. -S. Park ; Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology ; J. -T. Lim

The authors investigate the exponential stability of non-standard nonlinear singularly perturbed system via the Lyapunov stability technique. Using two standard singularly perturbed systems separated from the non-standard system, the authors analyse the exponential stability of the non-standard nonlinear singularly perturbed system. Based on the stability analysis for the general singularly perturbed system with non-separate slow-fast dynamics, the stabilising controller is designed.

Published in:

IET Control Theory & Applications  (Volume:4 ,  Issue: 5 )