Note: This content is accessible to all versions of every browser. However, this browser does not seem to support current Web standards, preventing the display of our site's design details.


Further Results on `Infinity Norms as Lyapunov Functions for Linear Systems'


F.J. Christophersen, M. Morari

IEEE Transactions on Automatic Control, vol. 52, no. 3, pp. 547--553

This note continues on the results proposed in [1], [2] for computing vector 1- or inf-norm based Lyapunov functions for linear discrete-time systems by presenting a finitely terminating algorithm for the construction of Lyapunov functions of that class. The algorithm utilizes the solution of a finite sequence of feasibility LPs with very few constraints or, equivalently, very simple algebraic tests in contrast to solving the original problem where a bilinear matrix equation with rank and norm constraint needs to be solved.


Type of Publication:


M. Morari

File Download:

Request a copy of this publication.
(Uses JavaScript)
  author       = {F. J. Christophersen and M. Morari},
  title	       = {{Further Results on `Infinity Norms as Lyapunov
                  Functions for Linear Systems'}},
  journal      = {IEEE Trans.~on Automatic Control},
  year	       = {2007},
  volume       = 52,
  number       = 3,
  month	       = mar,
  pages        = {547--553},
Permanent link