Approximate Bisimulations for Nonlinear Dynamical Systems

@article{Girard2005ApproximateBF,
  title={Approximate Bisimulations for Nonlinear Dynamical Systems},
  author={Aaron Girard and G. Pappas},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={684-689}
}
The notion of exact bisimulation equivalence for nondeterministic discrete systems has recently resulted in notions of exact bisimulation equivalence for continuous and hybrid systems. In this paper, we establish the more robust notion of approximate bisimulation equivalence for nondeterministic nonlinear systems. This is achieved by requiring that a distance between system observations starts and remains, close, in the presence of nondeterministic system evolution. We show that approximate… CONTINUE READING
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