Geodesic
Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems
Kybernetika, Tome 53 (2017) no. 5, pp. 780-802 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.
In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.
DOI : 10.14736/kyb-2017-5-0780
Classification : 39A13, 68M15
Keywords: stochastic nonlinear systems; cascaded systems; output-feedback stabilization; finite-time control 
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     title = {Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems},
     journal = {Kybernetika},
     pages = {780--802},
     year = {2017},
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     zbl = {06861624},
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     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0780/}
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Lan, Qixun; Niu, Huawei; Liu, Yamei; Xu, Huafeng. Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems. Kybernetika, Tome 53 (2017) no. 5, pp. 780-802. doi: 10.14736/kyb-2017-5-0780

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