Chebyshev approximation and higher order derivatives of Lyapunov functions for estimating the domain of attraction

@article{Han2017ChebyshevAA,
  title={Chebyshev approximation and higher order derivatives of Lyapunov functions for estimating the domain of attraction},
  author={Dongkun Han and Dimitra Panagou},
  journal={2017 IEEE 56th Annual Conference on Decision and Control (CDC)},
  year={2017},
  pages={1181-1186}
}
Estimating the Domain of Attraction (DA) of non-polynomial systems is a challenging problem. Taylor expansion is widely adopted for transforming a nonlinear analytic function into a polynomial function, but the performance of Taylor expansion is not always satisfactory. This paper provides solvable ways for estimating the DA via Chebyshev approximation. Firstly, for Chebyshev approximation without the remainder, higher order derivatives of Lyapunov functions are used for estimating the DA, and… CONTINUE READING

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