Exponential ISS properties for impulsive interconnected systems

Bin Liu; Qiong Tang; Shen Ping Xiao; Hong Bing Zeng

Exponential ISS properties for impulsive interconnected systems

Bin Liu^*, Qiong Tang, Shen Ping Xiao, Hong Bing Zeng

^*Corresponding author for this work

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

Abstract

This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E⁺), input-to-state zero exponent property (IS-E⁰) and input-to-state negative exponent property (IS-E^-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.

Original language	English
Title of host publication	Proceedings of the 29th Chinese Control Conference, CCC'10
Pages	1506-1510
Number of pages	5
Publication status	Published - 2010
Event	29th Chinese Control Conference, CCC'10 - Beijing, China Duration: 29 Jul 2010 → 31 Jul 2010

Publication series

Name	Proceedings of the 29th Chinese Control Conference, CCC'10

Conference

Conference	29th Chinese Control Conference, CCC'10
Country/Territory	China
City	Beijing
Period	29/07/10 → 31/07/10

Cite this

@inproceedings{ce9db596512f4b6d8f4f427713e7d7e9,

title = "Exponential ISS properties for impulsive interconnected systems",

abstract = "This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.",

keywords = "Average dwell time, Exponential ISS (e-ISS), IS-E (Input-to-state Exponent Property), Impulsive interconnected systems, Small-gain",

author = "Bin Liu and Qiong Tang and Xiao, {Shen Ping} and Zeng, {Hong Bing}",

year = "2010",

language = "English",

isbn = "9787894631046",

series = "Proceedings of the 29th Chinese Control Conference, CCC'10",

pages = "1506--1510",

booktitle = "Proceedings of the 29th Chinese Control Conference, CCC'10",

note = "29th Chinese Control Conference, CCC'10 ; Conference date: 29-07-2010 Through 31-07-2010",

}

TY - GEN

T1 - Exponential ISS properties for impulsive interconnected systems

AU - Liu, Bin

AU - Tang, Qiong

AU - Xiao, Shen Ping

AU - Zeng, Hong Bing

PY - 2010

Y1 - 2010

N2 - This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.

AB - This paper investigates the problem of exponential input-to-state stability (e-ISS) for impulsive interconnected systems. A new concept input-to-state exponent property (IS-E) including input-to-state positive exponent property (IS-E+), input-to-state zero exponent property (IS-E0) and input-to-state negative exponent property (IS-E-), is proposed for dynamical systems with external input. By using IS-E estimations of subsystems, multiple Lyapunov functions method and average dwell time condition, the e-ISS criteria for continuous-time/discrete-time impulsive interconnected systems are established respectively. The ISS small-gain condition required in the literature for interconnected systems is relaxed if every subsystem has e-ISS property.

KW - Average dwell time

KW - Exponential ISS (e-ISS)

KW - IS-E (Input-to-state Exponent Property)

KW - Impulsive interconnected systems

KW - Small-gain

UR - http://www.scopus.com/inward/record.url?scp=78650238830&partnerID=8YFLogxK

M3 - Conference Paper

SN - 9787894631046

T3 - Proceedings of the 29th Chinese Control Conference, CCC'10

SP - 1506

EP - 1510

BT - Proceedings of the 29th Chinese Control Conference, CCC'10

T2 - 29th Chinese Control Conference, CCC'10

Y2 - 29 July 2010 through 31 July 2010

ER -

Exponential ISS properties for impulsive interconnected systems

Abstract

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