Finite-time passivity of dynamic systems

Mingzhe Hou; Feng Tan; Gunagren Duan

doi:10.1016/j.jfranklin.2016.09.011

Finite-time passivity of dynamic systems

Mingzhe Hou^*
, Feng Tan
, Gunagren Duan

^*Corresponding author for this work

School of Astronautics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

This paper is concerned with the concept and properties of finite-time passivity of dynamic systems. As preliminaries, several interesting properties of class K functions are presented. Then, the definition of finite-time passivity is introduced and the relationship between finite-time passivity and finite-time stability is investigated. Furthermore, finite-time passivity properties are investigated for both feedback and parallel connections of finite-time passive components. A numerical example and a realistic example are employed to show the effectiveness of the obtained results.

Original language	English
Pages (from-to)	4870-4884
Number of pages	15
Journal	Journal of the Franklin Institute
Volume	353
Issue number	18
DOIs	https://doi.org/10.1016/j.jfranklin.2016.09.011
State	Published - 1 Dec 2016

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10.1016/j.jfranklin.2016.09.011

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title = "Finite-time passivity of dynamic systems",

abstract = "This paper is concerned with the concept and properties of finite-time passivity of dynamic systems. As preliminaries, several interesting properties of class K functions are presented. Then, the definition of finite-time passivity is introduced and the relationship between finite-time passivity and finite-time stability is investigated. Furthermore, finite-time passivity properties are investigated for both feedback and parallel connections of finite-time passive components. A numerical example and a realistic example are employed to show the effectiveness of the obtained results.",

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N2 - This paper is concerned with the concept and properties of finite-time passivity of dynamic systems. As preliminaries, several interesting properties of class K functions are presented. Then, the definition of finite-time passivity is introduced and the relationship between finite-time passivity and finite-time stability is investigated. Furthermore, finite-time passivity properties are investigated for both feedback and parallel connections of finite-time passive components. A numerical example and a realistic example are employed to show the effectiveness of the obtained results.

AB - This paper is concerned with the concept and properties of finite-time passivity of dynamic systems. As preliminaries, several interesting properties of class K functions are presented. Then, the definition of finite-time passivity is introduced and the relationship between finite-time passivity and finite-time stability is investigated. Furthermore, finite-time passivity properties are investigated for both feedback and parallel connections of finite-time passive components. A numerical example and a realistic example are employed to show the effectiveness of the obtained results.

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Finite-time passivity of dynamic systems

Abstract

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