Results 21 to 30 of about 28,358 (207)
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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, 2019 This paper extends the algorithm of Benner, Heinkenschloss, Saak, and Weichelt: An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations, Applied Numerical Mathematics Vol.~108 (2016), pp.~125--142, doi:10.1016/j.apnum.2016.05 ...
Benner, Peter +3 more
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Nonlocal symmetries of Riccati and Abel chains and their similarity reductions
, 2012 We study nonlocal symmetries and their similarity reductions of Riccati and Abel chains. Our results show that all the equations in Riccati chain share the same form of nonlocal symmetry.
Bluman G. W. +5 more
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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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Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems
, 1998 We associate to an arbitrary $\mathbb Z$-gradation of the Lie algebra of a Lie group a system of Riccati-type first order differential equations. The particular cases under consideration are the ordinary Riccati and the matrix Riccati equations.
Ferreira, L. A. +4 more
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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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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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Hamiltonians with Riesz Bases of Generalised Eigenvectors and Riccati Equations [PDF]
, 2010 An algebraic Riccati equation for linear operators is studied, which arises in systems theory. For the case that all involved operators are unbounded, the existence of infinitely many selfadjoint solutions is shown. To this end, invariant graph subspaces
Wyss, Christian
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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Advances in Mathematical Physics, 2013 A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations.
Bülent Kiliç, Hasan Bulut
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