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


F.J. Christophersen, M. Morari

vol. AUT05-13

This note continues and completes the results proposed in [19, 9] for computing vector 1- or Inf-norm based Lyapunov functions for linear discrete-time systems by presenting an algorithm for the construction of Lyapunov functions of that class. The complexity is bounded by the complexity of solving a feasibility LP with very few constraints or a very simple algebraic test in contrast to solving the original problem where a bilinear matrix equation with rank and norm constraint needs to be solved.


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(04)Technical Report

M. Morari

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  author       = {F. J. Christophersen and M. Morari},
  title	       = {{Further Results on `Infinity Norms as Lyapunov
                  Functions for Linear Systems'}},
  year	       = {2005},
  institution  = {Automatic Control Laboratory},
  address      = {Swiss Federal Institute of Technology (ETH)},
  number       = {AUT05-13},
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