Results 31 to 40 of about 1,048 (181)
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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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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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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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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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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Rosenbrock Methods for Solving Riccati Differential Equations [PDF]
IEEE Transactions on Automatic Control, 2013 The Riccati differential equation (RDE) arises in several fields like optimal control, optimal filtering, H∞ control of linear time-varying systems, differential games, etc. In the literature there is a large variety of approaches to compute its solution. Particularly for stiff RDEs, matrix-valued versions of the standard multi-step methods for solving
Peter Benner, Hermann Mena
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Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
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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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