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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Closed-form solutions to the nonhomogeneous Yakubovich-transpose matrix equation
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
نویسندگان
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