Sự hiện diện và khả năng điều khiển gần đúng của các hệ thống đo lường bán phi tuyến với các điều kiện phi địa phương

Bulletin of the Iranian Mathematical Society - Tập 48 Số 2 - Trang 769-789 - 2022
Gou, Haide1, Li, Yongxiang1
1Department of Mathematics, Northwest Normal University, Lanzhou, People’s Republic of China

Tóm tắt

Mục đích của bài báo này là nghiên cứu sự tồn tại của các nghiệm nhẹ và khả năng điều khiển gần đúng cho hệ thống tiến hóa bị tác động bởi các phép đo với các điều kiện phi địa phương. Đầu tiên, chúng tôi đạt được sự tồn tại của các nghiệm nhẹ và khả năng điều khiển gần đúng cho vấn đề liên quan bằng cách xây dựng hàm Green mới và hàm điều khiển liên quan đến toán tử khả năng điều khiển Gramian. Nghiên cứu này dựa trên định lý điểm cố định Schauder và lý thuyết của bán nhóm toán tử. Cuối cùng, chúng tôi cũng cung cấp hai ví dụ để minh họa tính khả thi của các kết quả lý thuyết của chúng tôi.

Từ khóa

#hệ thống tiến hóa #nghiệm nhẹ #khả năng điều khiển gần đúng #toán tử khả năng điều khiển Gramian #định lý điểm cố định Schauder

Tài liệu tham khảo

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