On the Parametric Solution to the Second-Order Sylvester Matrix Equation E V F 2 − A V F − C V = B W

Wang Guo-Sheng, Lv Qiang and Duan Guang-Ren

Mathematical Problems in Engineering, 2007, vol. 2007, 1-16

Abstract:

This paper considers the solution to a class of the second-order Sylvester matrix equation E V F 2 − A V F − C V = B W . Under the controllability of the matrix triple ( E , A , B ) , a complete, general, and explicit parametric solution to the second-order Sylvester matrix equation, with the matrix F in a diagonal form, is proposed. The results provide great convenience to the analysis of the solution to the second-order Sylvester matrix equation, and can perform important functions in many analysis and design problems in control systems theory. As a demonstration, an illustrative example is given to show the effectiveness of the proposed solution.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:021078

DOI: 10.1155/2007/21078

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