Noise-to-State Stability of Random Coupled Kuramoto Oscillators via Feedback Control
Year: 2024
Type: article
Abstract: This paper is intended to study noise-to-state stability in probability (NSSP) for random coupled Kuramoto oscillators with input control (RCKOIC). A feedback control is designed, which makes us give the existence and uniqueness of a solution for RCKOIC. Based on Kirchhoff’s matrix tree theorem in graph theory, an original and appropriate Lyapunov function for RCKOIC is established. With the help of the Lyapunov method and by resorting to some analysis skills, NSSP for RCKOIC with an arbitrarily coupled topological structure and second-order moment process stochastic disturbance is acquired. Finally, the effectiveness of the obtained results is verified by a numerical test and its simulation process.
Source: Mathematics
DOI: 10.3390/math12233715
Authors: Ning Tian, Xiaoqi Liu, Rui Kang, Cheng Peng, Jiaxi Li, Shang Gao
Institution: Northeast Forestry University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4404758879