Formulas relating K L stability estimates of discrete-time and sampled-data nonlinear systems

被引:202
作者
Nesic, D [1 ]
Teel, AR
Sontag, ED
机构
[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, CCEC, Santa Barbara, CA 93106 USA
[3] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
关键词
discrete-time; input-to-state stability; K L functions; sampled data; stability;
D O I
10.1016/S0167-6911(99)00046-8
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We provide an explicit K L stability or input-to-state stability (ISS) estimate for a sampled-data nonlinear system in terms of the K L estimate for the corresponding discrete-time system and a K function describing inter-sample growth. Tt is quite obvious that a uniform inter-sample growth condition, plus an ISS properly for the exact discrete-time model of a closed-loop system, implies uniform TSS of the sampled-data nonlinear system. Our results serve to quantify these facts by means of comparison functions. Our results can be used as an alternative to prove and extend results in [1] or extend some results in [4] to a class of nonlinear systems. Finally, the formulas we establish can be used as a tool for some other problems which we indicate. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:49 / 60
页数:12
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