New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation

Ulukök, Zübeyde; Türkmen, Ramazan

doi:10.1016/j.jfranklin.2013.06.018

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Cited by 8 publications

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“…In the existing literature, several forms of matrix equations have been investigated , in which Sylvester matrix equations rouse more interest. For examples, the constrained generalized Sylvester matrix equation is considered in , the necessary and sufficient conditions for its solvability and the expression of its general solution when it is solvable are presented together.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Approach To Generalized Periodic Sylvester Matrix Equation

Zhang

2018

Asian Journal of Control

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The paper is dedicated to solving the generalized periodic discrete‐time Sylvester matrix equation, which is frequently encountered in control theory and applied mathematics. An iterative algorithm for this equation is presented. The proposed method is developed from a point of least squares method. The rationality of the method is testified by theoretical analysis. The presented approach is numerically reliable and requires less computation. Two numerical examples illustrate the effectiveness of the raised results.

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Section: Introductionmentioning

confidence: 99%