More indefinite integrals from Riccati equations
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1647538
Abstract: ABSTRACT Two new methods for obtaining indefinite integrals of a special function using Riccati equations are presented. One method uses quadratic fragments of the Riccati equation, the solutions of which are given by simple quadratic… read more here.
Keywords: cylinder functions; riccati equations; indefinite integrals; integrals riccati ... See more keywords
Meromorphic solutions of difference Riccati equations
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DOI: 10.1080/17476933.2016.1204605
Abstract: We are concerned with difference Riccati equations in the complex plane. We study the continuous limit of difference Riccati equations to differential Riccati equations, and compare asymptotic expansions of both of solutions. Some examples are… read more here.
Keywords: difference riccati; riccati equations; solutions difference; meromorphic solutions ... See more keywords
From Differential to Algebraic Riccati Equations: The influence of Kalman [Historical Perspectives]
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DOI: 10.1109/mcs.2016.2643298
Abstract: Rudolf Emil Kalman is the creator of modern systems and control theory and the author of groundbreaking scientific contributions. He introduced fundamental notions, such as controllability and observability, and clarified the relationship between the state-space… read more here.
Keywords: equations influence; algebraic riccati; kalman historical; riccati equations ... See more keywords
Derivation of the system of generalized Riccati equations from the system of evolution equations
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500814
Abstract: The method of transformation of a linear system of evolution equations into the system of Riccati-type equations is elaborated. It is shown that the system of generalized Riccati equations is governed by the characteristic polynomial… read more here.
Keywords: system; system evolution; riccati equations; evolution equations ... See more keywords