Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS systems

@article{Ito2012CapabilityAL,
  title={Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS systems},
  author={Hiroshi Ito and Sergey Dashkovskiy and Fabian R. Wirth},
  journal={Automatica},
  year={2012},
  volume={48},
  pages={1197-1204}
}
This paper addresses the problem of verifying stability of networks whose subsystems admit dissipation inequalities of integral input-to-state stability (iISS). We focus on two ways of constructing a Lyapunov function satisfying a dissipation inequality of a given network. Their difference from one another is elucidated from the viewpoint of formulation, relation, fundamental limitation and capability. One is referred to as the max-type construction resulting in a Lipschitz continuous Lyapunov… CONTINUE READING
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