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Historical perspectives of the Riccati equations
, 2017 All the equations and inequalities, that are algebraic or differential are nowadays called of Riccati type if they consist of a constant, linear ones and quadratic terms in the variables.
M. Jungers
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Abstract and Applied Analysis, 2012 We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique. The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of ...
F. Z. Geng, X. M. Li
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On the Equation of Riccati [PDF]
Proceedings of the London Mathematical Society, 1886 n ...
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The Research of Periodic Solutions of Time-Varying Differential Models
International Journal of Differential Equations, 2014 We have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and ...
Wenjun Liu, Yingxin Pan, Zhengxin Zhou
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Journal of Ocean Engineering and Science, 2023 In this paper, we discussed the enhanced Kudryashov’s and general projective Riccati equations techniques for obtaining exact solutions to the fifth-order nonlinear water wave (FONLWWE) equation.
Ahmed H. Arnous +3 more
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A schur method for solving algebraic Riccati equations
1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, 1978 In this paper a new algorithm for solving algebraic Riccati equations (both continuous-time and discrete-time versions) is presented. The method studied is a variant of the classical eigenvector approach and uses instead an appropriate set of Schur ...
A. Laub
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Ultradiscrete Painlevé VI with Parity Variables
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé VI system of equations with the
Kouichi Takemura, Terumitsu Tsutsui
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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New Riccati equations for radiating matter
European Physical Journal C: Particles and Fields, 2022 The relationship between radiating stars in general relativity and Riccati equations is investigated for a general matter distribution including the electromagnetic field and the cosmological constant.
Noeleen Naidoo +2 more
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Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations [PDF]
Journal of evolution equations (Printed ed.), 2013 An operator Riccati equation from systems theory is considered in the case that all entries of the associated Hamiltonian are unbounded. Using a certain dichotomy property of the Hamiltonian and its symmetry with respect to two different indefinite inner
C. Tretter, Christian Wyss
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