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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

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

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