A converse sum-of-squares Lyapunov result: An existence proof based on the Picard iteration.
- In this paper, we show that local exponential stability of a polynomial vector field implies the existence of a Lyapunov function which is a sum-of-squares of polynomials. To do that, we use the Picard iteration. This result shows that local stability of polynomial vector fields can be computed in a relatively efficient manner using semidefinite programming. ©2010 IEEE.
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