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- W4248030418 abstract "Publisher SummaryThe chapter presents a brief review of the Sylvester equation (Lyapunov-like equation) and discusses different applications of the Lyapunov equation and comments on related topics. The chapter presents the list of applications of the Lyapunov and Lyapunov-like equations in science and engineering, and comment on the related areas. The chapter discusses some interesting future research directions in the study of the Lyapunov equation. It is mentioned that the Lyapunov equation is a simple linear equation, but extremely reaching in its applications. Numerical solution of the algebraic Sylvester equation can be obtained by using the Bartels–Stewart algorithm. The chapter mentions on several additional topics on the Lyapunov equations, such as periodic Lyapunov equations, existence of diagonal solutions, Lyapunov equation for characterization of positive real functions, and square root factor of the solution of the Lyapunov equation. The chapter presents case studies related to magnetic tape control system and aircraft under wind disturbances." @default.
- W4248030418 created "2022-05-12" @default.
- W4248030418 date "1995-01-01" @default.
- W4248030418 modified "2023-09-27" @default.
- W4248030418 title "Chapter Nine Concluding remarks" @default.
- W4248030418 doi "https://doi.org/10.1016/s0076-5392(06)80081-0" @default.
- W4248030418 hasPublicationYear "1995" @default.
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