Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods
Kybernetika, Tome 54 (2018) no. 5, pp. 937-957
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters perturbation. Finally, some numerical simulations are given to show the effectiveness and the benefits of the theoretical results.
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters perturbation. Finally, some numerical simulations are given to show the effectiveness and the benefits of the theoretical results.
DOI :
10.14736/kyb-2018-5-0937
Classification :
34C15, 34D06, 34D35
Keywords: complex delayed system; uncertain; stabilization; intermittent control; switched
Keywords: complex delayed system; uncertain; stabilization; intermittent control; switched
@article{10_14736_kyb_2018_5_0937,
author = {Zheng, Song},
title = {Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods},
journal = {Kybernetika},
pages = {937--957},
year = {2018},
volume = {54},
number = {5},
doi = {10.14736/kyb-2018-5-0937},
mrnumber = {3893129},
zbl = {07031753},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-5-0937/}
}
TY - JOUR AU - Zheng, Song TI - Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods JO - Kybernetika PY - 2018 SP - 937 EP - 957 VL - 54 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-5-0937/ DO - 10.14736/kyb-2018-5-0937 LA - en ID - 10_14736_kyb_2018_5_0937 ER -
%0 Journal Article %A Zheng, Song %T Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods %J Kybernetika %D 2018 %P 937-957 %V 54 %N 5 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-5-0937/ %R 10.14736/kyb-2018-5-0937 %G en %F 10_14736_kyb_2018_5_0937
Zheng, Song. Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods. Kybernetika, Tome 54 (2018) no. 5, pp. 937-957. doi: 10.14736/kyb-2018-5-0937
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