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On stability and input-to-state stability KL estimates of discrete-time and sampled-data nonlinear systems

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3 Author(s)
Nesic, D. ; Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia ; Teel, A.R. ; Sontag, E.D.

We provide an explicit KL stability or input-to-state stability (ISS) estimate for a sampled-data nonlinear system in terms of the KL estimate for the corresponding discrete-time system and a K function describing inter-sample growth. It is straightforward to show that a uniform intersample growth condition, plus an ISS property for the exact discrete-time model of a closed-loop system, implies uniform ISS of the sampled-data nonlinear system. Our results serve to quantify this fact by means of comparison functions. The formulas we establish are an important analysis tool for several problems which we indicate

Published in:

American Control Conference, 1999. Proceedings of the 1999  (Volume:6 )

Date of Conference:

1999