Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection

Bin Liu; David J. Hill; Yunlian Sun

doi:10.1109/CDC.2010.5717240

Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection

Bin Liu
, David J. Hill
, Yunlian Sun

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

4 Citations (Scopus)

Abstract

This paper investigates the problem of exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDN) via impulsive interconnection. New concepts of input-to-state exponent property (IS-E) and augmented time are proposed for dynamical systems and hybrid systems respectively. By using IS-E estimations of nodes in HDN and methods such as multiple Lyapunov functions and hybrid time, two types of e-ISS criteria for continuous-time/discrete-time HDN are established respectively. The requirements on ISS property of every subsystem and small-gain condition for interconnection in interconnected systems or networks in the literature is relaxed. The obtained e-ISS results are extended to the case of delayed impulsive interconnection. One representative example is given to illustrate the theoretical results.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	673-678
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717240
Publication status	Published - 2010
Externally published	Yes
Event	IEEE Conference on Decision and Control 2010 - Atlanta, United States of America Duration: 15 Dec 2010 → 17 Dec 2010 Conference number: 49th https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding (Proceedings)

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	IEEE Conference on Decision and Control 2010
Abbreviated title	CDC 2010
Country/Territory	United States of America
City	Atlanta
Period	15/12/10 → 17/12/10
Internet address	https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding (Proceedings)

Access to Document

10.1109/CDC.2010.5717240

Cite this

Liu, B., Hill, D. J., & Sun, Y. (2010). Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 673-678). (Proceedings of the IEEE Conference on Decision and Control). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2010.5717240

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title = "Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection",

abstract = "This paper investigates the problem of exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDN) via impulsive interconnection. New concepts of input-to-state exponent property (IS-E) and augmented time are proposed for dynamical systems and hybrid systems respectively. By using IS-E estimations of nodes in HDN and methods such as multiple Lyapunov functions and hybrid time, two types of e-ISS criteria for continuous-time/discrete-time HDN are established respectively. The requirements on ISS property of every subsystem and small-gain condition for interconnection in interconnected systems or networks in the literature is relaxed. The obtained e-ISS results are extended to the case of delayed impulsive interconnection. One representative example is given to illustrate the theoretical results.",

author = "Bin Liu and Hill, \{David J.\} and Yunlian Sun",

year = "2010",

doi = "10.1109/CDC.2010.5717240",

language = "English",

isbn = "9781424477456",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

pages = "673--678",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

address = "United States of America",

note = "IEEE Conference on Decision and Control 2010, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

url = "https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding",

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Liu, B, Hill, DJ & Sun, Y 2010, Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection. in 2010 49th IEEE Conference on Decision and Control, CDC 2010. Proceedings of the IEEE Conference on Decision and Control, IEEE, Institute of Electrical and Electronics Engineers, pp. 673-678, IEEE Conference on Decision and Control 2010, Atlanta, Georgia, United States of America, 15/12/10. https://doi.org/10.1109/CDC.2010.5717240

Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection. / Liu, Bin; Hill, David J.; Sun, Yunlian.
2010 49th IEEE Conference on Decision and Control, CDC 2010. IEEE, Institute of Electrical and Electronics Engineers, 2010. p. 673-678 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AU - Hill, David J.

AU - Sun, Yunlian

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PY - 2010

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N2 - This paper investigates the problem of exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDN) via impulsive interconnection. New concepts of input-to-state exponent property (IS-E) and augmented time are proposed for dynamical systems and hybrid systems respectively. By using IS-E estimations of nodes in HDN and methods such as multiple Lyapunov functions and hybrid time, two types of e-ISS criteria for continuous-time/discrete-time HDN are established respectively. The requirements on ISS property of every subsystem and small-gain condition for interconnection in interconnected systems or networks in the literature is relaxed. The obtained e-ISS results are extended to the case of delayed impulsive interconnection. One representative example is given to illustrate the theoretical results.

AB - This paper investigates the problem of exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDN) via impulsive interconnection. New concepts of input-to-state exponent property (IS-E) and augmented time are proposed for dynamical systems and hybrid systems respectively. By using IS-E estimations of nodes in HDN and methods such as multiple Lyapunov functions and hybrid time, two types of e-ISS criteria for continuous-time/discrete-time HDN are established respectively. The requirements on ISS property of every subsystem and small-gain condition for interconnection in interconnected systems or networks in the literature is relaxed. The obtained e-ISS results are extended to the case of delayed impulsive interconnection. One representative example is given to illustrate the theoretical results.

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PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control 2010

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ER -

Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection

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