Abstract
The research on the fractional-order network system (FONS, The derivative model of network system is fractional-order) has seen fruitful achievements, but ignores whether the fractional-order operator (The order of fractional derivatives α ) in the FONS will affect its stability and dynamic characteristics . To tackle this problem, this paper adopts a new method to study the effect of fractional-operators in gamma functions on the dynamic state of the gamma function. This new method helps us to derive a novel dynamic principle of multidimensional FONS. We define it as the Whole Oscillation Principle. According to this principle, the choice of fractional operator reflects the dynamic oscillation characteristic of the multidimensional FONS in two dimensions of time and system state, thus better optimizing the complex case of the fractional-order system research process in the future. Furthermore, based on the auxiliary function-based integral inequality, the paper derives a new stability criterion for all dimensional FONS in the general form. Finally, the validity and correctness of the above theories are verified through numerical simulation to its good effect.
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.
