Abstract
New instability conditions for some classes of nonlinear dynamical systems of an arbitrary order are considered. These conditions reduce the investigation of instability of the initial nonlinear system to the investigation of instability of the linearized system. In this connection, the considered conditions are similar to the hypothesis of the instability theorem of the first Lyapunov method (the stability investigation by the first approximation), but they are applicable to more complicated nonlinear systems, because it takes into account the non-autonomy of the linearized system and the fact that the nonlinear terms in the right-hand sides of the equations of the initial system belong not only to the class of analytical functions. For different classes of the nonlinear systems, sufficient instability conditions are presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Computer and Systems Sciences International
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
