Article Dans Une Revue Mathematics of Control, Signals, and Systems Année : 2022

Design of Finite/Fixed-time ISS-Lyapunov Functions for Mechanical Systems

Résumé

For a canonical form of mechanical system dened through gradients of potential energy and dissipative terms, the conditions of nite-time and xed-time (integral) input-to-state stability are derived by nding suitable Lyapunov functions. The proposed stability conditions are constructive, which is demonstrated in several applications.

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DOI

Cite 10.1007/s00498-022-00338-x Autre Aleksandrov, A., Efimov, D., & Dashkovskiy, S. (2022). Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems. Mathematics of Control, Signals, and Systems, 35(1), 215–235. https://doi.org/10.1007/s00498-022-00338-x

DOI

Cite 10.1007/s00498-022-00338-x Autre Aleksandrov, A., Efimov, D., & Dashkovskiy, S. (2022). Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems. Mathematics of Control, Signals, and Systems, 35(1), 215–235. https://doi.org/10.1007/s00498-022-00338-x

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Décrit hal-03753820 Article Alexander Aleksandrov, Denis Efimov, Sergey Dashkovskiy. Design of Finite/Fixed-time ISS-Lyapunov Functions for Mechanical Systems. Mathematics of Control, Signals, and Systems, 2022. ⟨hal-03753820⟩

Dates et versions

hal-03753820 , version 1 (18-08-2022)

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  • HAL Id : hal-03753820 , version 1

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Alexander Aleksandrov, Denis Efimov, Sergey Dashkovskiy. Design of Finite/Fixed-time ISS-Lyapunov Functions for Mechanical Systems. Mathematics of Control, Signals, and Systems, 2022. ⟨hal-03753820⟩
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