Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity

Bin Liu; Tengfei Liu; David J. Hill

Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity

Bin Liu, Tengfei Liu, David J. Hill

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

Abstract

This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.

Original language	English
Title of host publication	Proceedings of the 30th Chinese Control Conference, CCC 2011
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	1753-1758
Number of pages	6
ISBN (Print)	9789881725592
Publication status	Published - 2011
Externally published	Yes
Event	Chinese Control and Decision Conference 2011 - Sichuan Province, Mianyang, China Duration: 23 May 2011 → 25 May 2011 Conference number: 23rd https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=17917

Publication series

Name	Proceedings of the 30th Chinese Control Conference, CCC 2011

Conference

Conference	Chinese Control and Decision Conference 2011
Abbreviated title	CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11
Internet address	https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=17917

Keywords

DIHS
Dissipativity
ISS
Mixed K -dissipativity
Network via Impulsive Interconnections
Stabilization

Cite this

@inproceedings{8624c14ae42f462ab6a70eaee88efbdb,

title = "Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity",

abstract = "This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.",

keywords = "DIHS, Dissipativity, ISS, Mixed K -dissipativity, Network via Impulsive Interconnections, Stabilization",

author = "Bin Liu and Tengfei Liu and Hill, {David J.}",

year = "2011",

language = "English",

isbn = "9789881725592",

series = "Proceedings of the 30th Chinese Control Conference, CCC 2011",

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

pages = "1753--1758",

booktitle = "Proceedings of the 30th Chinese Control Conference, CCC 2011",

address = "United States of America",

note = "Chinese Control and Decision Conference 2011, CCDC 2011 ; Conference date: 23-05-2011 Through 25-05-2011",

url = "https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=17917",

}

Liu, B, Liu, T & Hill, DJ 2011, Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity. in Proceedings of the 30th Chinese Control Conference, CCC 2011. Proceedings of the 30th Chinese Control Conference, CCC 2011, IEEE, Institute of Electrical and Electronics Engineers, pp. 1753-1758, Chinese Control and Decision Conference 2011, Mianyang, China, 23/05/11.

Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity. / Liu, Bin; Liu, Tengfei; Hill, David J.
Proceedings of the 30th Chinese Control Conference, CCC 2011. IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 1753-1758 (Proceedings of the 30th Chinese Control Conference, CCC 2011).

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

TY - GEN

T1 - Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity

AU - Liu, Bin

AU - Liu, Tengfei

AU - Hill, David J.

N1 - Conference code: 23rd

PY - 2011

Y1 - 2011

N2 - This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.

AB - This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration.

KW - DIHS

KW - Dissipativity

KW - ISS

KW - Mixed K -dissipativity

KW - Network via Impulsive Interconnections

KW - Stabilization

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M3 - Conference Paper

AN - SCOPUS:80053065847

SN - 9789881725592

T3 - Proceedings of the 30th Chinese Control Conference, CCC 2011

SP - 1753

EP - 1758

BT - Proceedings of the 30th Chinese Control Conference, CCC 2011

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - Chinese Control and Decision Conference 2011

Y2 - 23 May 2011 through 25 May 2011

ER -

Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity

Abstract

Publication series

Conference

Keywords

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Cite this