GLOBAL OUTPUT FEEDBACK STABILIZATION FOR NONLINEAR FRACTIONAL ORDER TIME DELAY SYSTEMS

被引：0
|
作者：
Benali, Hanen [1 ]
机构：
[1] Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
KYBERNETIKA | 2021年 / 57卷 / 05期
关键词：
Riemann-Liouville fractional; nonlinear time delay system; observer design; asymptotical stability; Lyapunov functional; ASYMPTOTICAL STABILITY; SEPARATION PRINCIPLE;
D O I：
10.14736/kyb-2021-5-0785
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropri-ate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreac-tor example, are given to illustrate that the proposed design procedures are very efficient and simple.
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页码：785 / 800
页数：16
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