\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2003, Volume 9, Issue 5: 1223-1241. Doi: 10.3934/dcds.2003.9.1223
This issue Previous Article On the Newton method in robust control of fluid flow Next Article Convergence to strong nonlinear rarefaction waves for global smooth solutions of $p-$system with relaxation

A spectral characterization of exponential stability for linear time-invariant systems on time scales

  • 1.

    Institut für Mathematik, Universität Augsburg, 86135 Augsburg

  • 2.

    Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720

  • 3.

    Zentrum für Technomathematik, Universität Bremen, 28334 Bremen

Received:  October 31, 2002
Published:  August 2003
Abstract Related Papers Cited by
    Abstract
  • We prove a necessary and sufficient condition for the exponential stability of time-invariant linear systems on time scales in terms of the eigenvalues of the system matrix. In particular, this unifies the corresponding characterizations for finite-dimensional differential and difference equations. To this end we use a representation formula for the transition matrix of Jordan reducible systems in the regressive case. Also we give conditions under which the obtained characterizations can be exactly calculated and explicitly calculate the region of stability for several examples.
    Mathematics Subject Classification: 34C11, 39A10, 37B55, 34D99.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(178) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences