On infinity norms as Lyapunov functions for continuous-time dynamical systems

@article{Lazar2011OnIN,
  title={On infinity norms as Lyapunov functions for continuous-time dynamical systems},
  author={Mircea Lazar and Alina Ionela Doban},
  journal={IEEE Conference on Decision and Control and European Control Conference},
  year={2011},
  pages={7567-7572}
}
This paper considers the synthesis of polyhedral Lyapunov functions for continuous-time dynamical systems. A proper conic partition of the state-space is employed to construct a finite set of linear inequalities in the elements of the Lyapunov weight matrix. For dynamics described by linear and polytopic differential inclusions, it is proven that the feasibility of the derived set of linear inequalities is necessary and sufficient for the existence of an infinity norm Lyapunov function… CONTINUE READING
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