On singular hybrid switched and impulsive systems
Fecha
2018Autor
Zamani, Iman
Shafiee, Masoud
Ibeas, Asier
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Resumen
In this work, the problem of stability analysis for a class of singular hybrid
switched and impulsive system (HSIS) is addressed. Corresponding to each
subsystem, a hybrid switched and impulsive controller is designed and then
the exponential stability property of the proposed singular HSIS is discussed
for linear and nonlinear cases. Because switched systems without impulses
are a special case of HSISs, the results are also given to switched system with
synchronous and asynchronous controllers. The obtained results apply to
control singular systems, and the introduced theorems allow knowing how
the control must be designed. Two numerical examples are given to show the
effectiveness of the proposed approaches. At first, by using MATLAB® software,
the proposed method is applied to a class of physiological processes of endocrine
disruptor diethylstilbestrol models to illustrate the effectiveness of the
results obtained here for the linear case. Thereafter, another numerical example
is provided to support the presented theoretical results for the nonlinear case.
Palabras clave
Singular systems; Stability analysis; Switched and impulsive systemsEnlace al recurso
https://doi.org/10.1002/rnc.3876Colecciones
- Año 2018 [155]
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