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Conference Papers Year : 2005

Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability

Gérard Scorletti

Abstract

In this paper, we reveal new connections between the incremental Lyapunov properties of a nonlinear system and the Lyapunov properties of its linearizations. We focus on (incremental) asymptotic and exponential stability. In contrast with other works on the incremental Lyapunov properties of nonlinear systems, our approach is based on extended spaces, Gateaux derivative and the mean value theorem in norm
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Dates and versions

hal-02763416 , version 1 (04-06-2020)

Identifiers

  • HAL Id : hal-02763416 , version 1
  • PRODINRA : 32855

Cite

Vincent Fromion, Gérard Scorletti. Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability. 44. IEEE Conference on Decision Control/European Control Conference (CCD-ECC), Dec 2005, Seville, Spain. ⟨hal-02763416⟩
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