Results 1 to 10 of about 14,195 (209)
Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
PLoS ONEThis paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady +3 more
doaj +2 more sources
Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
IEEE Access, 2021 A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
doaj +1 more source
Mathematics, 2023 The stability of nonlinear systems in the control domain has been extensively studied using different versions of the algebraic Riccati equation (ARE). This leads to the focus of this work: the search for the time-varying quaternion ARE (TQARE) Hermitian
Houssem Jerbi +6 more
doaj +1 more source
Maximal imaginery eigenvalues in optimal systems [PDF]
Modeling, Identification and Control, 1991 In this note we present equations that uniquely determine the maximum possible imaginary value of the closed loop eigenvalues in an LQ-optimal system, irrespective of how the state weight matrix is chosen, provided a real symmetric solution of the ...
David Di Ruscio
doaj +1 more source
Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
core +7 more sources
Optimal integrated passive/active design of the suspension system using iteration on the Lyapunov equations [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2015 In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated ...
Mahyar Naraghi, Mojtaba Moradi
doaj +1 more source
Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
doaj +1 more source
Results in Physics, 2023 In this article, stochastic solutions of Radhakrishnan–Kundu–Lakshmanan equation (RKLE) with multiplicative noise are investigated. Studying is conducted with the aid of the modified extended direct algebraic integration technique which depended on the ...
Islam Samir +3 more
doaj +1 more source
A numerical approach for investigating a special class of fractional Riccati equation
Results in Physics, 2020 A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
doaj +1 more source
Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media
Heliyon, 2023 In this research paper, the generalized projective Riccati equations method (GPREM) is applied successfully to procure the soliton solutions of the local M-fractional longitudinal wave equation (LWE) arising in mathematical physics with dispersion caused
Neslihan Ozdemir +3 more
doaj +1 more source