MURAL - Maynooth University Research Archive Library

    Padé discretization for linear systems with polyhedral Lyapunov functions

    Rossi, F. and 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

    [img] Download (1MB)

    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...

    Add this article to your Mendeley library


    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:
    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
    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

    Repository Staff Only(login required)

    View Item Item control page


    Downloads per month over past year

    Origin of downloads