Padé discretization for linear systems with
polyhedral Lyapunov functions

Rossi, F.; Colaneri, P.; Shorten, Robert N.

Padé discretization for linear systems with polyhedral Lyapunov functions

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Rossi, F., Colaneri, P. and Shorten, Robert N. (2011) Padé discretization for linear systems with polyhedral Lyapunov functions. IEEE Transactions on Automatic Control, 56 (11). pp. 2717-2722. ISSN 0018-9286

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Abstract

This technical note has been motivated by the need to assess the preservation of polyhedral Lyapunov functions for stable continuous-time linear systems under numerical discretization of the transition matrix. This problem arises when discretizing linear systems in such a manner as to preserve a certain type of stability of the discrete time approximation. Our main contribution is to show that a continuous-time system and its Padé discretization (of any order and sampling) always share at least one common piecewise linear (polyhedral) Lyapunov function.

Item Type:	Article
Keywords:	Discretization; Lyapunov function; stability of linear systems;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering
Item ID:	2822
Identification Number:	10.1109/TAC.2011.2161028
Depositing User:	Dr. Robert Shorten
Date Deposited:	14 Nov 2011 09:53
Journal or Publication Title:	IEEE Transactions on Automatic Control
Publisher:	IEEE
Refereed:	Yes
Related URLs:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

MURAL - Maynooth University Research Archive Library

Padé discretization for linear systems with polyhedral Lyapunov functions

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