New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems

被引：5

作者：

Lenka, Bichitra Kumar ^{[1
]}

Bora, Swaroop Nandan ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 05期

关键词：

Real-order system; Nonlinear system; Time-delay system; Asymptotic stability; Nonlinear control; SYNCHRONIZATION;

D O I：

10.1007/s11071-022-08060-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems.

引用

页码：4469 / 4484

页数：16

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