Phân Tích Ổn Định Của Mạng Nơ-ron Chiếu Có Hiệu Ứng Impulsive

Springer Science and Business Media LLC - Tập 55 - Trang 645-656 - 2022
Jia Chen1, Jin Hu2, B. O. Onasanya3,4, Yuming Feng5
1College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China
2Department of Mathematics, Chongqing Jiaotong University, Chongqing, China
3Key Laboratory of Intelligent Information Processing and control, Chongqing Three Gorges University, Chongqing, People’s Republic of China
4Department of Mathematics, University of Ibadan, Ibadan, Nigeria
5School of Three Gorges Artificial Intelligence, Chongqing Three Gorges University, Chongqing, People’s Republic of China

Tóm tắt

Do mô hình mạng nơ-ron có thể bị ảnh hưởng bởi hiệu ứng xung, bài báo này đề xuất một mô hình mạng nơ-ron chiếu (PNN) có hiệu ứng xung, được gọi là mạng nơ-ron chiếu impulsive (IPNN). Mạng IPNN có thể giải quyết các bất phương trình biến và các bài toán tối ưu liên quan nhanh hơn rất nhiều so với PNN. Chúng tôi thu được tính ổn định của IPNN qua hai bước. Đầu tiên, chúng tôi xây dựng một hàm Lyapunov để chứng minh tính ổn định của PNN. Thứ hai, chúng tôi chứng minh rằng hàm Lyapunov không tăng dưới sự ảnh hưởng của hiệu ứng xung. Cuối cùng, chúng tôi đưa ra ba ví dụ mô phỏng để cho thấy hiệu suất của IPNN.

Từ khóa

#mạng nơ-ron chiếu #mạng nơ-ron chiếu impulsive #bất phương trình biến #tối ưu hóa #hàm Lyapunov #tính ổn định

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