Results 51 to 60 of about 28,358 (207)
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 +4 more
wiley +1 more source
Nonlinear differential equations of Riccati type on ordered Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we consider a general class of time-varying nonlinear differential equations on infinite dimensional ordered Banach spaces, which includes as special cases many known differential Riccati equations of optimal control.
V. M. Ungureanu, V. Dragan
doaj +1 more source
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
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Cubic B-Spline method for the solution of the quadratic Riccati differential equation
AIMS Mathematics, 2023 The quadratic Riccati equations are first-order nonlinear differential equations with numerous applications in various applied science and engineering areas.
Osama Ala'yed +3 more
doaj +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 +2 more
wiley +1 more source
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.
doaj +1 more source
A family of exact models for radiating matter
AIP Advances, 2020 In this paper, the cosmological constant and electric charge are incorporated in the Einstein–Maxwell field equations. Two approaches are used to investigate the problem. First, the boundary condition is expressed as a generalized Riccati equation in one
A. B. Mahomed, S. D. Maharaj, R. Narain
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Stochastic HJB Equations and Regular Singular Points [PDF]
, 2018 IIn this paper we show that some HJB equations arising from both finite and infinite horizon stochastic optimal control problems have a regular singular point at the origin. This makes them amenable to solution by power series techniques.
Krener, Arthur J.
core +1 more source
Non-Symmetric Matrix Riccati Equations
Zeitschrift für Analysis und ihre Anwendungen, 1995 We prove a fundamental representation formula for all solutions of the matrix Riccati differential equation and of the corresponding algebraic Riccati equation. This formula contains the complete information on the phase portrait of the matrix equation and on the structure of the set F of all solutions of the corresponding algebraic equation.
Freiling, G., Jank, G.
openaire +2 more sources