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Further Input-to-State Stability Subtleties for Discrete-Time Systems

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3 Author(s)
Lazar, M. ; Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands ; Heemels, W.P.M.H. ; Teel, A.R.

This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K-continuous, the result applies to unbounded sets as well.

Published in:

Automatic Control, IEEE Transactions on  (Volume:58 ,  Issue: 6 )

Date of Publication:

June 2013

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