Journal
AUTOMATICA
Volume 135, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.109994
Keywords
Finite time; Input-to-state stability; Impulsive systems; Lyapunov method; Disturbance
Funding
- National Natural Science Foundation of China [62173215]
- Major Basic Research Program of the Natural Science Foundation of Shandong Province in China [ZR202105090005]
- Support Plan for Out-standing Youth Innovation Team in Shandong Higher Education Institutions [2019KJI008]
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This paper extends the finite-time input-to-state stability (FTISS) property to nonlinear impulsive systems and provides several sufficient conditions to obtain stability, considering external inputs in both continuous dynamics and impulsive dynamics.
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. (C)& nbsp;2021 Elsevier Ltd. All rights reserved.
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