Computation of feasible parametric regions for Lyapunov functions

  title={Computation of feasible parametric regions for Lyapunov functions},
  author={Jiancheng Tong and Naim Bajçinca},
  journal={2017 11th Asian Control Conference (ASCC)},
A computational approach of feasible regions for parameter-dependent Lyapunov functions for linear systems based on real-root-classification (RRC) is proposed in this paper. We refer to such Lyapunov functions as feasible if there exists a parameter set that guarantees the existence of a Lyapunov function. In this sense, the stability of parameter-dependent linear ordinary differential equations (ODEs) and differential algebraic equations (DAEs) is considered. To this end, the existence… CONTINUE READING

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