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

被引：20
|
作者：
Lazar, Mircea [1 ]
Heemels, W. P. Maurice H. [2 ]
Teel, Andy R. [3 ]
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
[3] Univ Calif Santa Barbara, Ctr Control Engn & Computat, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 06期
基金：
美国国家科学基金会;
关键词：
Discontinuous systems; discrete-time; input-to-state stability; Lyapunov methods; MODEL-PREDICTIVE CONTROL; MPC;
D O I：
10.1109/TAC.2012.2231611
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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 kappa(infinity)-continuous, the result applies to unbounded sets as well.
引用
收藏
页码：1609 / 1613
页数：5
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