Finite-Time Stability and Stabilization of Polynomial Systems

被引：0
作者：
Tartaglione, Gaetano [1 ]
Ariola, Marco [1 ]
Amato, Francesco [2 ]
机构：
[1] Univ Napoli Parthenope, Ctr Direz Napoli, Dipartimento Ingn, Isola C4, I-80143 Naples, Italy
[2] Univ Napoli Federico II, DIETI, Via Claudio, I-80125 Naples, Italy
来源：
2023 AMERICAN CONTROL CONFERENCE, ACC | 2023年
关键词：
SUM;
D O I：
10.23919/ACC55779.2023.10156117
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we consider the class of polynomial systems and we investigate on their finite-time stability properties. In this analysis, for the first time, finite-time stability is defined with respect to domains with polynomial bounds. A sufficient condition for finite-time stability is obtained, which can be solved recasting the feasibility problem in terms of SDP through SOS programming. Moreover, a nonlinear state-feedback control law is developed to stabilize the system in the finite-time notion. The effectiveness of the stabilizing control law is shown by a numerical example.
引用
收藏
页码：1371 / 1376
页数：6
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