Stability analysis for time-delay hamiltonian systems

Weiwei Sun; Yuzhen Wang; Gang Feng

doi:10.1109/ICARCV.2006.345259

Stability analysis for time-delay hamiltonian systems

Weiwei Sun, Yuzhen Wang, Gang Feng

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

6 Citations (Scopus)

Abstract

This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper. © 2006 IEEE.

Original language	English
Title of host publication	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06
DOIs	https://doi.org/10.1109/ICARCV.2006.345259
Publication status	Published - 2006
Event	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06 - Singapore, Singapore Duration: 5 Dec 2006 → 8 Dec 2006

Conference

Conference	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06
Place	Singapore
City	Singapore
Period	5/12/06 → 8/12/06

Research Keywords

Asymptotic stability
Robust stability
Sufficient condition
Time-delay Hamiltonian systems
Uncertainty

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10.1109/ICARCV.2006.345259

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title = "Stability analysis for time-delay hamiltonian systems",

abstract = "This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper. {\textcopyright} 2006 IEEE.",

keywords = "Asymptotic stability, Robust stability, Sufficient condition, Time-delay Hamiltonian systems, Uncertainty",

author = "Weiwei Sun and Yuzhen Wang and Gang Feng",

year = "2006",

doi = "10.1109/ICARCV.2006.345259",

language = "English",

isbn = "1424403421",

booktitle = "9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06",

note = "9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06 ; Conference date: 05-12-2006 Through 08-12-2006",

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TY - GEN

T1 - Stability analysis for time-delay hamiltonian systems

AU - Sun, Weiwei

AU - Wang, Yuzhen

AU - Feng, Gang

PY - 2006

Y1 - 2006

N2 - This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper. © 2006 IEEE.

AB - This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper. © 2006 IEEE.

KW - Asymptotic stability

KW - Robust stability

KW - Sufficient condition

KW - Time-delay Hamiltonian systems

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=34547149459&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34547149459&origin=recordpage

U2 - 10.1109/ICARCV.2006.345259

DO - 10.1109/ICARCV.2006.345259

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 1424403421

SN - 9781424403424

BT - 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

T2 - 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

Y2 - 5 December 2006 through 8 December 2006

ER -

Stability analysis for time-delay hamiltonian systems

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