کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638876 | 1632024 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Closed-form solutions to the nonhomogeneous Yakubovich-transpose matrix equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The nonhomogeneous Yakubovich-transpose matrix equation X−AXTB=CY+RX−AXTB=CY+R, which contains the well-known Kalman–Yakubovich-transpose matrix equation and general discrete Lyapunov-transpose matrix equation as special cases, has many important applications in control system theory. This study presents two methods to obtain the closed-form solutions of the nonhomogeneous Yakubovich-transpose matrix equation. Moreover, the equivalent forms of the solutions are provided and one of the solutions is established with the controllability matrix, the observability matrix and symmetric operator matrix.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 267, September 2014, Pages 72–81
Journal: Journal of Computational and Applied Mathematics - Volume 267, September 2014, Pages 72–81
نویسندگان
Caiqin Song, Hongxing Rui, Xiaodong Wang, Jianli Zhao,