A Collocation Method for Solving Fractional Riccati Differential Equation
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
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Robust INS/GPS sensor fusion for UAV localization using SDRE nonlinear filtering [PDF]
, 2009 For publication in IEEE Sensors JournalThe aim of this paper is to present a new INS/GPS sensor fusion scheme, based on State-Dependent Riccati Equation (SDRE) nonlinear filtering, for Unmanned Aerial Vehicle (UAV) localization problem.
Aouf, Nabil, Nemra, A.
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Rational solutions of Riccati differential equation with coefficients rational [PDF]
Applied Mathematics and Computation, 2011 This paper presents a simple and efficient method for determining the rational solution of Riccati differential equation with coefficients rational. In case the differential Galois group of the differential equation , is reducible, we look for the rational solutions of Riccati differential equation , by reducing the number of checks to be made and by
Nadhem Echi
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Riccati Differential Equations [PDF]
, 1972 Includes bibliographical references and index.Front Cover; Riccati Differential Equations; Copyright Page; Contents; Preface; Chapter One. Scalar Riccati Differential Equations; Chapter Two.
Reid, William T.(William Thomas),1907 October 4-1977.
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Riccati matrix differential equation and the discrete order preserving property [PDF]
, 2023 summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
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Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]
, 2006 This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki +3 more
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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]
, 2001 We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Trentelman, Harry L., Rapisarda, Paolo
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STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
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Helmoltz problem for the Riccati equation from an analogous Friedmann equation
European Physical Journal C: Particles and Fields, 2022 We report a solution of the inverse Lagrangian problem for the first order Riccati differential equation by means of an analogy with the Friedmann equation of a suitable Friedmann–Lemaître–Robertson–Walker universe in general relativity.
Valerio Faraoni
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