Input-to-state stability of soft-reset systems with nonlinear data

被引：0
作者：
Hosseini, Matina Baradaran [1 ]
Le, Justin H. H. [1 ]
Teel, Andrew R. R. [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2023年 / 35卷 / 03期
关键词：
Reset control; Input-to-state stability; Differential inclusions; Strong convexity; Homogeneous systems; PLANT;
D O I：
10.1007/s00498-023-00347-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Input-to-state stability (ISS) is considered for a nonlinear "soft-reset" system with inputs. The latter is a system that approximates a hard-reset system, which is modeled as a hybrid system with inputs. In contrast, a soft-reset system is modeled as a differential inclusion with inputs. Lyapunov conditions on the hard-reset system are given that guarantee ISS for the soft-reset system. In turn, it is shown when global asymptotic stability for the origin of the zero-input reset system guarantees ISS for nonzero inputs. Examples are given to demonstrate the theory.
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收藏
页码：523 / 540
页数：18
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