STABILIZATION OF DISCRETE 2D LINEAR SYSTEMS IN FORNASINI-MARCHESINI MODEL=STABILIZATION OF DISCRETE 2D LINEAR SYSTEMS IN FORNASINI-MARCHESINI MODEL

• Tác giả: Tra My Luu
• Ngôn ngữ: eng
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Sư phạm Hà Nội: Khoa học Tự nhiên, 2024
• Mô tả vật lý: tr.39
• Bộ sưu tập: Metadata
• ID: 248407

Tóm tắt

This paper is concerned with the stabilization problem of discrete 2Dlinear systems described by the second Fornasini-Marchesini model. A necessaryand sufficient condition involving the characteristic polynomial is first quoted bywhich the unforced system is structurally or exponentially stable. On the basis ofthe derived stability condition, a tractable condition is formulated in the form oflinear matrix inequality for obtaining the controller gain of a desired stabilizingstate-feedback controller.This paper is concerned with the stabilization problem of discrete 2Dlinear systems described by the second Fornasini-Marchesini model. A necessaryand sufficient condition involving the characteristic polynomial is first quoted bywhich the unforced system is structurally or exponentially stable. On the basis ofthe derived stability condition, a tractable condition is formulated in the form oflinear matrix inequality for obtaining the controller gain of a desired stabilizingstate-feedback controller.