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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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	Institute of Electrical and Electronics Engineers Inc.
Pages	673-678
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717240
Publication status	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

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

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

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10.1109/CDC.2010.5717240

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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). Article 5717240 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717240

@inproceedings{dd9b0e2a978444c3b37fd5f1b36c12ab,

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 = "Institute of Electrical and Electronics Engineers Inc.",

pages = "673--678",

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

address = "United States",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

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., 5717240, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 673-678, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 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. Institute of Electrical and Electronics Engineers Inc., 2010. p. 673-678 5717240 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Exponential input-to-state stability for hybrid dynamical networks via impulsive interconnection

AU - Liu, Bin

AU - Hill, David J.

AU - Sun, Yunlian

PY - 2010

Y1 - 2010

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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U2 - 10.1109/CDC.2010.5717240

DO - 10.1109/CDC.2010.5717240

M3 - Conference contribution

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 673

EP - 678

BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 49th IEEE Conference on Decision and Control, CDC 2010

Y2 - 15 December 2010 through 17 December 2010

ER -

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

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