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 nonstandard 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:
Control Theory & Applications, IET
(Volume:4
,
Issue:
5
)
Date of Publication: May 2010