Abstract
This paper extends the finite-time input-to-state stability (FTISS) property to nonlinear impulsive systems. By the Lyapunov method, several sufficient conditions are provided to obtain ISS property of nonlinear impulsive systems in the framework of finite time, where external inputs are considered in both the continuous dynamics and impulsive dynamics. Considering destabilizing impulsive actions, a relation of the impulsive frequency, the system structure, and exogenous disturbances is given to guarantee the FTISS and the uniform FTISS of impulsive systems. Examples are given to illustrate the effectiveness of the proposed results.
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