Solution formulas for differential Sylvester and Lyapunov equations
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DOI: 10.1007/s10092-019-0348-x
Abstract: AbstractThe differential Sylvester equation and its symmetric version, the differential Lyapunov equation, appear in different fields of applied mathematics like control theory, system theory, and model order reduction. The few available straight-forward numerical approaches when… read more here.
Keywords: lyapunov equations; solution formulas; formulas differential; sylvester ... See more keywords
The Sylvester and Bézout Resultant Matrices for Blind Image Deconvolution
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DOI: 10.1007/s10851-018-0812-2
Abstract: Blind image deconvolution ($$\text {BID}$$BID) is one of the most important problems in image processing, and it requires the determination of an exact image $$\mathcal {F}$$F from a degraded form of it $$\mathcal {G}$$G when… read more here.
Keywords: image; image deconvolution; sylvester zout; sylvester ... See more keywords
Terminal computing for Sylvester equations solving with application to intelligent control of redundant manipulators
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DOI: 10.1016/j.neucom.2019.01.024
Abstract: Abstract Sylvester matrix equations are widely used in many engineering fields. When referred to the time-varying Sylvester, the computational time increases sharply because of the heavy burden calculations for not satisfying the computational requirement. Recently,… read more here.
Keywords: time varying; time; sylvester; sylvester equations ... See more keywords
An iterative algorithm for robust simulation of the Sylvester matrix differential equations
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DOI: 10.1186/s13662-020-02757-z
Abstract: This paper proposes a new effective pseudo-spectral approximation to solve the Sylvester and Lyapunov matrix differential equations. The properties of the Chebyshev basis operational matrix of derivative are applied to convert the main equation to… read more here.
Keywords: equations iterative; iterative algorithm; matrix differential; sylvester ... See more keywords