Alternative stability conditions for hybrid systems

Promkam, Ratthaprom

doi:10.1109/cdc.2013.6760392

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Cited by 3 publications

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“…The first category is based on the tools and ideas from the control theory. The most important such tools are the Lyapunov and small gain theorems [7,8]. Other techniques are also applied such as the optimal control based on Hamilton-Jacobi equation [9,6,10], dynamic programming for discrete-time stochastic HDS [11] and model predictive control [12].…”

Section: Introductionmentioning

confidence: 99%

A computational procedure for bisimulation of hybrid dynamical systems

Tavassoli

2015

2015 European Control Conference (ECC)

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The problem of finding a finite state symbolic model which is bisimilar to a hybrid dynamical system (HDS) and has the minimum number of states is considered. The considered class of HDS allows for discrete-valued inputs that only affect the jumps (events) of the HDS. Representation of the HDS in the form of a transition system is revisited in comparison with prior works. An algorithm is proposed for solving the problem which gives the bisimulation with the minimum number of states if it already exists and also a parameter of the algorithm is properly tuned. There is no need for stability assumptions and no time discretization is applied. The results are applied to an example.

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