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arXiv · 1904.03440

Uniform Input-to-State Stability for Switched and Time-Varying Impulsive Systems

Jose L. Mancilla-Aguilar·Hernan Haimovich
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Abstract

We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well-established philosophy of assessing the stability of a system by reducing the problem to that of the stability of a scalar system given by the evolution of the Lyapunov function on the system trajectories. This reduction is performed in such a way so that the resulting scalar system has no inputs. Novel sufficient conditions for ISS are provided, which generalize existing results for time-invariant and time-varying, switched and nonswitched, impulsive and nonimpulsive systems in several directions.

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Jose L. Mancilla-Aguilar, Hernan Haimovich. 2019-04-06. Uniform Input-to-State Stability for Switched and Time-Varying Impulsive Systems. https://doi.org/10.1109/tac.2020.2968580

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