The Exponential ISS Stability for Nonlinear Impulsive Hybrid Systems

This paper introduces appropriate concepts of input-to state stability (ISS) for nonlinear impulsive hybrid systems(NIHS). First we study the case in which one kind of dynamics system without external inputs has a stability property, then by applying the ISS-Lyapunov function theory, several suffici...

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Bibliographic Details
Published in2010 International Conference on Intelligent Computation Technology and Automation Vol. 3; pp. 807 - 810
Main Authors Lanping Chen, Zhenghua Ma, Suolin Duan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2010
Subjects
Algorithm design and analysis
Automation
Design optimization
Electrical engineering
Exponential stability
Impulsive hybrid systems
Information science
ISS
Lyapunov method
Nonlinear
Nonlinear dynamical systems
Robust stability
Stability analysis
Sufficient conditions
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Summary:This paper introduces appropriate concepts of input-to state stability (ISS) for nonlinear impulsive hybrid systems(NIHS). First we study the case in which one kind of dynamics system without external inputs has a stability property, then by applying the ISS-Lyapunov function theory, several sufficient conditions are derived for the ISS property of the whole NIHS with inputs. The results of ISS are used to study the robustly globally uniformly exponential stability for impulsive hybrid systems. The impulsive hybrid system can keep ISS no matter how often the impulses occur. Our proposed results are evaluated using illustrative example to show their effectiveness.
ISBN:9781424472796
1424472792
DOI:10.1109/ICICTA.2010.864