Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming

Shoudong Huang; M. R. James; Dragan Nešić; Peter Dower

doi:10.1109/CDC.2003.1272438

Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming

Shoudong Huang^*, M. R. James, Dragan Nešić, Peter Dower

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. These characterisations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimisation problems in nonlinear dissipative systems theory (including L₂-gain analysis and nonlinear H∞ theory).

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5068-5073
Number of pages	6
ISBN (Print)	0780379241
DOIs	https://doi.org/10.1109/CDC.2003.1272438
Publication status	Published - 2003
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: 9 Dec 2003 → 12 Dec 2003

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	5
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	42nd IEEE Conference on Decision and Control
Country/Territory	United States
City	Maui, HI
Period	9/12/03 → 12/12/03

Access to Document

10.1109/CDC.2003.1272438

Cite this

Huang, S., James, M. R., Nešić, D., & Dower, P. (2003). Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming. In Proceedings of the IEEE Conference on Decision and Control (pp. 5068-5073). (Proceedings of the IEEE Conference on Decision and Control; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2003.1272438

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title = "Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming",

abstract = "This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. These characterisations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimisation problems in nonlinear dissipative systems theory (including L2-gain analysis and nonlinear H∞ theory).",

author = "Shoudong Huang and James, {M. R.} and Dragan Ne{\v s}i{\'c} and Peter Dower",

year = "2003",

doi = "10.1109/CDC.2003.1272438",

language = "English",

isbn = "0780379241",

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

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

pages = "5068--5073",

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

address = "United States",

note = "42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",

}

Huang, S, James, MR, Nešić, D & Dower, P 2003, Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming. in Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, vol. 5, Institute of Electrical and Electronics Engineers Inc., pp. 5068-5073, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 9/12/03. https://doi.org/10.1109/CDC.2003.1272438

Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming. / Huang, Shoudong; James, M. R.; Nešić, Dragan et al.
Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2003. p. 5068-5073 (Proceedings of the IEEE Conference on Decision and Control; Vol. 5).

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

TY - GEN

T1 - Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming

AU - Huang, Shoudong

AU - James, M. R.

AU - Nešić, Dragan

AU - Dower, Peter

PY - 2003

Y1 - 2003

N2 - This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. These characterisations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimisation problems in nonlinear dissipative systems theory (including L2-gain analysis and nonlinear H∞ theory).

AB - This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. These characterisations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimisation problems in nonlinear dissipative systems theory (including L2-gain analysis and nonlinear H∞ theory).

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U2 - 10.1109/CDC.2003.1272438

DO - 10.1109/CDC.2003.1272438

M3 - Conference contribution

SN - 0780379241

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5068

EP - 5073

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 42nd IEEE Conference on Decision and Control

Y2 - 9 December 2003 through 12 December 2003

ER -

Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming

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