Simplified Method of Stability Analysis of Nonlinear Systems without Using of Lyapunov Concept  

作　　者：Tarek Benmiloud Tarek Benmiloud(Department of Electrical Engineering & Automation, Faculty of Science and Technology, University of Relizane, Relizane, Algeria)

机构地区：[1]Department of Electrical Engineering & Automation, Faculty of Science and Technology, University of Relizane, Relizane, Algeria

出　　处：《Journal of Applied Mathematics and Physics》2023年第4期1049-1060,共12页应用数学与应用物理（英文）

摘　　要：In this paper a new simplified method of stability study of dynamical nonlinear systems is proposed as an alternative to using Lyapunov’s method. Like the Lyapunov theorem, the new concept describes a sufficient condition for the systems to be globally stable. The proposed method is based on the assumption that, not only the state matrix contains information on the stability of the systems, but also the eigenvectors. So, first we will write the model of nonlinear systems in the state-space representation, then we use the eigenvectors of the state matrix as system stability indicators.In this paper a new simplified method of stability study of dynamical nonlinear systems is proposed as an alternative to using Lyapunov’s method. Like the Lyapunov theorem, the new concept describes a sufficient condition for the systems to be globally stable. The proposed method is based on the assumption that, not only the state matrix contains information on the stability of the systems, but also the eigenvectors. So, first we will write the model of nonlinear systems in the state-space representation, then we use the eigenvectors of the state matrix as system stability indicators.

关 键 词：Stability Criterion of Nonlinear Systems EIGENVECTORS State-Space Representation Lyapunov Method 

分 类 号：O17[理学—数学]