西北师范大学学报（自然科学版）2025，Vol.61Issue(5)：112-121,10.DOI:10.16783/j.cnki.nwnuz.2025.05.013
一类非线性时滞微分方程的有限时间稳定性
A finite-time stability of a class of nonlinear time-delay differential equations
摘要
Abstract
The Lyapunov-Krasovskii method is applied to study the finite-time stability of a class of nonlinear single time-delay differential equations by constructing an appropriate Lyapunov functional.The Lyapunov-Razumikhin method is employed to investigate the finite-time stability of a class of nonlinear systems with multiple time delays.The coordinate transformations and orthogonal decomposition techniques are utilized to reformulate the original systems into equivalent forms,in which the multiple time-delay differential equations is expressed in matrix form.Based on the above equivalent forms,three finite-time stability criteria and the corresponding settling time inequalities are obtained.Finally,the effectiveness of the theoretical results is validated through two numerical examples.关键词
非线性时滞微分方程/有限时间稳定性/L-K方法/L-R方法/坐标变换Key words
nonlinear time-delay differential equation/finite-time stability/L-K method/L-R method/coordinate transformation分类
数理科学引用本文复制引用
姜玟,李俐玫..一类非线性时滞微分方程的有限时间稳定性[J].西北师范大学学报（自然科学版）,2025,61(5):112-121,10.基金项目
国家自然科学基金资助项目(11701399,12401140) （11701399,12401140）
四川省自然科学基金资助项目(2024NSFC1343) （2024NSFC1343）
四川省教育厅科研资助项目(JG2024-0669) （JG2024-0669）
