Results 41 to 50 of about 2,598,889 (217)
A Note on the Riccati Differential Equation
Journal of Mathematical Analysis and Applications, 1995 The author treats the Riccati differential equation \[ w'= a(z)+ b(z) w+ c(z) w^ 2,\tag{1} \] where \(z\), \(w\) are complex variables and \(a(z)\), \(b(z)\) and \(c(z)\) are meromorphic on the whole \(z\)-plane. It is known that by a suitable transformation (1) can be transformed into the form (2) \(w'= A(z)+ w^ 2\), where \(A(z)\) is meromorphic on ...
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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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Conjugacy and principal solution of generalized half-linear second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
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Nonlinear boudary value problem in the case of parametric resonance [PDF]
Компьютерные исследования и моделирование, 2015 We construct necessary and sufficient conditions for the existence of solution of seminonlinear matrix boundary value problem for a parametric excitation system of ordinary differential equations.
Sergey Mikhaylovich Chujko +2 more
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Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
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Mutual Adaptation and Influence: Review of Latent Dynamics Models in Human–Robot Interaction
Advanced Robotics Research, EarlyView.Robots are becoming better teammates by learning hidden patterns in how people act. This review covers how state‐of‐the‐art approaches leverage these patterns to help robots not only react but also anticipate and guide cooperation. Here, we synthesize a unifying framework for these approaches, classify and review existing works, and highlight key ...
Mason O. Smith +4 more
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, 2022 reservedIn my work I explore the fractional differential Riccati equation, which is a particular equation that arises in many different mathematical problems. In particular, It arises in the financial stochastic model of Heston, more precisely, the rough
HU, NICOLA
core
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate [PDF]
, 1989 summary:In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given.
Navarro, E., Jódar, Lucas
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Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation
AIP Advances, 2013 In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations.
Hasibun Naher +2 more
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The Riccati Differential Equation and a Diffusion-Type Equation
, 2008 12 pages, no ...
Suazo, Erwin +2 more
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