A Unifying Integral ISS Framework for Stability of Nonlinear Cascades

@article{Arcak2002AUI,
  title={A Unifying Integral ISS Framework for Stability of Nonlinear Cascades},
  author={Murat Arcak and David Angeli and Eduardo D. Sontag},
  journal={SIAM J. Control and Optimization},
  year={2002},
  volume={40},
  pages={1888-1904}
}
We analyze nonlinear cascades in which the driven subsystem is integral input-tostate stable (ISS), and we characterize the admissible integral ISS gains for stability. This characterization makes use of the convergence speed of the driving subsystem and allows a larger class of gain functions when the convergence is faster. We show that our integral ISS gain characterization unifies different approaches in the literature which restrict the nonlinear growth of the driven subsystem and the… CONTINUE READING
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