Recent results on Lyapunov-theoretic techniques for nonlinear stability

@inproceedings{Lin1994RecentRO,
  title={Recent results on Lyapunov-theoretic techniques for nonlinear stability},
  author={Yuandan Lin and Eduardo D. Sontag and Yuan Lin Wang},
  year={1994}
}
This paper presents a Converse Lyapunov Function Theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. In a uni ed and natural manner, it (1) includes arbitrary bounded disturbances acting on the system, (2) deals with global asymptotic stability, (3) results in smooth (in nitely di erentiable) Lyapunov functions, and (4) applies to stability with respect to not necessarily compact invariant sets. As… CONTINUE READING

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