Abstract
Stability is of fundamental importance to the design and application of control systems, in which stable equilibrium points and the neighboring points can have various interesting physical implications. In the paper, we derive a lower bound and an upper bound on the number of neighboring stable equilibrium points in the spatially-periodic nonlinear dynamical systems. It is shown that, in such an $n$ -dimensional system, there are at least $2n$ neighboring stable equilibrium points. Meanwhile, an upper bound on the number of neighboring stable equilibrium points is derived. Some applications of these analytical results are illustrated.
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 callDisclaimer: 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.
