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

页码：1609 / 1613

页数：5

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