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

Author(s):

F.J. Christophersen, M. Morari
Conference/Journal:

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

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.

Year:

2007
Type of Publication:

(01)Article
Supervisor:

M. Morari

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@Article{ChrMor:tac:07,
  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},
}
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