Uniform bounded input bounded output stability of fractional-order delay nonlinear systems with input

被引：8

作者：

Almeida, R. ^{[1
]}

Hristova, S. ^{[2
]}

Dashkovskiy, S. ^{[3
]}

机构：

[1] Univ Aveiro, Ctr Res & Dev Math Ad Applicat CIDMA, Dept Math, Aveiro, Portugal

[2] Univ Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria

[3] Univ Wurzburg, Inst Math, Wurzburg, Germany

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2021年 / 31卷 / 01期

关键词：

bounded input bounded output stability; Caputo fractional derivative; Lyapunov functions; Razumikhin method; time-varying delay; BIBO STABILITY; STABILIZATION; FEEDBACK;

D O I：

10.1002/rnc.5273

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The bounded input bounded output (BIBO) stability for a nonlinear Caputo fractional system with time-varying bounded delay and nonlinear output is studied. Utilizing the Razumikhin method, Lyapunov functions and appropriate fractional derivatives of Lyapunov functions some new bounded input bounded output stability criteria are derived. Also, explicit and independent on the initial time bounds of the output are provided. Uniform BIBO stability and uniform BIBO stability with input threshold are studied. A numerical simulation is carried out to show the system's dynamic response, and demonstrate the effectiveness of our theoretical results.

引用

页码：225 / 249

页数：25

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