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Pass profile exponential and asymptotic stability of nonlinear repetitive processes

Pass profile exponential and asymptotic stability of nonlinear repetitive processes
Pass profile exponential and asymptotic stability of nonlinear repetitive processes
This paper considers discrete and differential nonlinear repetitive processes using
the state-space model setting. These processes are a particular class of 2D systems that have their origins in the modeling of physical processes. Their distinguishing characteristic is that one of the two independent variables needed to describe the dynamics evolves over a finite interval and therefore they are defined over a subset of the upper-right quadrant of the 2D plane. The current stability theory for nonlinear dynamics assumes that they operate over the complete upper-right quadrant and this property may be too strong for physical applications, particularly in terms of control law design. With applications in mind, the contribution of this paper is the use of vector Lyapunov functions to characterize a new property termed pass profile exponential stability.
2405-8963
4138-4143
Pakshin, Pavel
b237ddfe-eb4d-4fa1-963e-71ae7eb39e51
Emelianova, Julia
054b5aa3-cb10-488f-afb7-252b126cafa4
Emelianov, Mikhail
077687f7-cd07-4da0-a4c6-e758fceb9688
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Pakshin, Pavel
b237ddfe-eb4d-4fa1-963e-71ae7eb39e51
Emelianova, Julia
054b5aa3-cb10-488f-afb7-252b126cafa4
Emelianov, Mikhail
077687f7-cd07-4da0-a4c6-e758fceb9688
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Pakshin, Pavel, Emelianova, Julia, Emelianov, Mikhail, Galkowski, Krzysztof and Rogers, Eric (2017) Pass profile exponential and asymptotic stability of nonlinear repetitive processes. IFAC-PapersOnLine, 50 (1), 4138-4143. (doi:10.1016/j.ifacol.2017.08.801).

Record type: Article

Abstract

This paper considers discrete and differential nonlinear repetitive processes using
the state-space model setting. These processes are a particular class of 2D systems that have their origins in the modeling of physical processes. Their distinguishing characteristic is that one of the two independent variables needed to describe the dynamics evolves over a finite interval and therefore they are defined over a subset of the upper-right quadrant of the 2D plane. The current stability theory for nonlinear dynamics assumes that they operate over the complete upper-right quadrant and this property may be too strong for physical applications, particularly in terms of control law design. With applications in mind, the contribution of this paper is the use of vector Lyapunov functions to characterize a new property termed pass profile exponential stability.

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Pass profile exponential and asymptotic stability of nonlinear repetitive processes. - Accepted Manuscript
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Accepted/In Press date: 27 February 2017
e-pub ahead of print date: 18 October 2017
Venue - Dates: 20th IFAC World congress, France, 2017-07-09 - 2017-07-14

Identifiers

Local EPrints ID: 415679
URI: http://eprints.soton.ac.uk/id/eprint/415679
ISSN: 2405-8963
PURE UUID: 24837b8e-48f0-401b-9b26-e570de4875e7
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 20 Nov 2017 17:30
Last modified: 07 Oct 2020 04:46

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Contributors

Author: Pavel Pakshin
Author: Julia Emelianova
Author: Mikhail Emelianov
Author: Krzysztof Galkowski
Author: Eric Rogers ORCID iD

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