Journal of Mathematics and Statistics


Alexander B. Chernyshev, Karina V. Martirosyan and Alexander V. Martirosyan

DOI : 10.3844/jmssp.2014.316.321

Journal of Mathematics and Statistics

Volume 10, Issue 3

Pages 316-321


Systems' stability is the topical issue of control systems' development province. In this study the research of methodology of the nonlinear distributed control systems' stability assessment is conducted. Research of the standard distributed links' frequency surfaces is executed, limit characteristics of the parameters influencing by sight of spatial hodograph are investigated. The purpose of the work is to present the new method of systems' stability assessment and to the results of its using. The offered method of the absolute stability analysis for a class of systems with the distributed parameters allows to investigate the dynamic characteristics of the nonlinear distributed control systems. The specified method is received on the basis of frequency methods and representation of straight line's slope limiting sector of the nonlinear characteristic in the form of a spatial and amplified-extensive section. On the basis of the modeling results studying the general method of stability assessment, which can be used for the models of nonlinear control systems considered in work is offered. The criterion of nonlinear distributed control systems' absolute stability with the nonlinear characteristic independent of object's spatial coordinates is formulated and described. Results of this method's application for the analysis of the nonlinear distributed systems' stability which proves the method's assurance are considered.


© 2014 Alexander B. Chernyshev, Karina V. Martirosyan and Alexander V. Martirosyan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.