Results 21 to 30 of about 2,598,889 (217)

Riccati matrix differential equation and the discrete order preserving property [PDF]

open access: yes, 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
core   +1 more source

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir   +1 more
openaire   +2 more sources

On solving periodic Riccati equations [PDF]

open access: yes, 2008
Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
core   +1 more source

A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]

open access: yes, 2009
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga   +14 more
core   +1 more source

Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory

open access: yesMathematics, 2023
The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh   +2 more
doaj   +1 more source

Generalized symmetries, first integrals, and exact solutions of chains of differential equations [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics, 2021
New integrability properties of a family of sequences of ordinary differential equations, which contains the Riccati and Abel chains as the most simple sequences, are studied.
C. Muriel, M. C. Nucci
doaj   +1 more source

Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]

open access: yes, 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
core   +2 more sources

A Simple Approach for the Fractal Riccati Differential Equation [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
In this paper, a fractal modification of the Riccati differential equation is presented, and the two-scale transform method combined with Taylor series is used to solve the equation.
Kang-Jia Wang
doaj   +1 more source

Generalized System of Riccati-Type Equations

open access: yesEPJ Web of Conferences, 2018
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
doaj   +1 more source

Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

open access: yesJournal of Mathematics, 2020
The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
doaj   +1 more source

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