Solution to Sylvester equation associated to linear descriptor systems
نویسندگان
چکیده
منابع مشابه
Solution to Sylvester equation associated to linear descriptor systems
This paper presents the solution of the constrained Sylvester equation associated to linear descriptor systems. This problem has been recently studied in [1], where sufficient conditions for the existence of the solution are given. In the present paper, a simple and direct method is developed to solve this problem. This method shows that the conditions given in [1] are necessary and sufficient.
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where X ∈ M(n,m)(K), play a central role in many areas of applied mathematics and in particular in systems and control theory. It is well known that if K is an algebraically closed field then the matrix equation (1) possesses a unique solution if and only if the matrices A and B have no common eigenvalues (see [[3]] and [11]). In this work we give a brief survey of methods used to solve the (SM...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2006
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2006.04.004