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Gradient algorithms for finding common Lyapunov functions

Optimization and Control 2007-05-23 v1

Abstract

This paper is concerned with the problem of finding a quadratic common Lyapunov function for a family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.

Keywords

Cite

@article{arxiv.math/0206191,
  title  = {Gradient algorithms for finding common Lyapunov functions},
  author = {Daniel Liberzon and Roberto Tempo},
  journal= {arXiv preprint arXiv:math/0206191},
  year   = {2007}
}

Comments

9 pages