Results 51 to 60 of about 2,598,889 (217)

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

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
wiley   +1 more source

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Scientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Tuning Colloidal Stability and Photothermal Conversion Efficiency of Graphite Nanofluids via Anionic‐Nonionic Surfactant Engineering

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade, Shoaib Anwer, Md Islam, Eiyad Abu‐Nada   +3 more
wiley   +1 more source

A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods

Abstract and Applied Analysis, 2012
We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique. The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of ...
F. Z. Geng, X. M. Li
doaj   +1 more source

New exact solutions for Kudryashov–Sinelshchikov equation

Advances in Difference Equations, 2018
In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
doaj   +1 more source

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
openaire   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

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

Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations [PDF]

, 2007
- One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems.
Varga, Andreas, Johansson, S., Shiriaev, A.   +2 more
core  

Leighton–Wintner‐Type Oscillation Criteria for the p(t)$$ p(t) $$‐Laplacian Dynamic Equations on Time Scales

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka   +2 more
wiley   +1 more source