Analytical and numerical Lyapunov functions for SISO linear control systems with first‐order reset elements

@inproceedings{Zaccarian2011AnalyticalAN,
  title={Analytical and numerical Lyapunov functions for SISO linear control systems with first‐order reset elements},
  author={Luca Zaccarian and Dragan Ne{\vs}i{\'c} and Andrew R. Teel},
  year={2011}
}
In this paper we provide analytical and numerical Lyapunov functions that prove stability and performance of a First-order Reset Element (FORE) in feedback interconnection with a SISO linear plant. The Lyapunov functions also allow to establish finite gain ℒ2 stability from a disturbance input acting at the input of the plant to the plant output. ℒ2 stability is established by giving a bound on the corresponding ℒ2 gains. The proof of stability and performance is carried out by showing that the… CONTINUE READING

Citations

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Stability and Performance of SISO Control Systems With First-Order Reset Elements

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