Delay-Independent Stability Conditions for Some Classes of Nonlinear Systems

作者：Aleksandrov Alexander Yu^*; Hu Guang Da; Zhabko Alexey P

来源：IEEE Transactions on Automatic Control, 2014, 59(8): 2209-2214.

DOI：10.1109/TAC.2014.2299012

• Asymptotic stability
• delay systems
• large-scale systems
• Lyapunov direct method
• nonlinear systems

Some classes of nonlinear time-delay systems are studied. It is assumed that the zero solution of a system is asymptotically stable when delay is equal to zero. By the Lyapunov direct method, and the Razumikhin approach, it is shown that in the case when the system is essentially nonlinear, i.e., the right-hand side of the system does not contain linear terms, the asymptotic stability of the trivial solution is preserved for an arbitrary positive value of the delay. Based on homogeneous approximation of a time-delay system some stability conditions are found. We treat large-scale systems with nonlinear subsystems. New stability conditions in certain cases, critical in the Lyapunov sense, are obtained. Three examples are given to demonstrate effectiveness of the presented results.

• 出版日期2014-8
• 单位北京科技大学