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EnglishWe show that a Lyapunov-Krasovskii functional whose dissipation rate involves solely the current instantaneous value of the state norm is enough to guarantee integral input-to-state stability (iISS). This result generalizes existing sufficient conditions for iISS, where the dissipation rate involves the whole Lyapunov-Krasovskii functional itself, and simplifies their applicability. Moreover, it provides a more natural bridge with the classical condition for global asymptotic stability of input-free systems. The proof strategy we employ relies on a novel characterization of global asymptotic stability, which may be of interest on its own.
| Titolo: | Integral input-to-state stability of delay systems based on Lyapunov-Krasovskii functionals with point-wise dissipation rate | |
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| Data di pubblicazione: | 2018 | |
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| Handle: | http://hdl.handle.net/11697/167443 | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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