Results 61 to 70 of about 9,613,117 (241)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term

Boundary Value Problems
The oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized Riccati transformations, the integral averaging technique, and the theory of comparison.
A. A. El-Gaber
doaj   +1 more source

State-Space Interpretation of Model Predictive Control [PDF]

, 1992
A model predictive control technique based on a step response model is developed using state estimation techniques. The standard step response model is extended so that integrating systems can be treated within the same framework.
Garcia, Carlos E., Lee, Jay H., Morari, Manfred   +2 more
core  

Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy

, 1998
We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations ...
Falqui, Gregorio, Magri, Franco, Pedroni, Marco   +2 more
core   +2 more sources

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations
This paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian.
Kōdai Fujimoto, Masakazu Onitsuka
doaj   +1 more source

Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities

Discrete Dynamics in Nature and Society, 2012
Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.
Jing Shao, Fanwei Meng, Xinqin Pang
doaj   +1 more source

Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay

AIMS Mathematics, 2020
By refining the standard Riccati substitution technique, integral averaging technique and comparison principle, we obtain new oscillation and asymptotic behavior for a class of third-order neutral differential equations with discrete and distributed ...
M. Sathish Kumar, V. Ganesan
doaj   +1 more source

Order reduction approaches for the algebraic Riccati equation and the LQR problem

, 2017
We explore order reduction techniques for solving the algebraic Riccati equation (ARE), and investigating the numerical solution of the linear-quadratic regulator problem (LQR).
A Alla, B Kramer, D Kleinman, H Barkouki, IM Jaimoukha, IM Jaimoukha, J Atwell, J Borggaard, K Jbilou, K Kunisch, K Kunisch, M Falcone, M Heyouni, MH Gutknecht, P Benner, P Benner, P Benner, P Benner, P Benner, P Braun, P Lancaster, S Volkwein, V Druskin, V Simoncini, V Simoncini, V Simoncini, Y Lin, Y Lin   +27 more
core   +1 more source

HyLPD Digital Twin Control for UAV Stability in High‐Wind Conditions

Optimal Control Applications and Methods, EarlyView.
This work introduces a novel HyLPD, a hybrid control framework combining Linear Quadratic Regulator (LQR) for baseline stability and Deep Deterministic Policy Gradient (DDPG) for adaptive compensation, tailored for UAVs under high‐wind conditions.
Cara Rose, Robert McMurray, Muhammad Usman Hadi   +2 more
wiley   +1 more source