Results 61 to 70 of about 1,010 (188)

Numerical solution of differential algebraic riccati equations

Linear Algebra and its Applications, 1990
The numerical solution of the matrix differential algebraic Riccati equation (DARE) arising from singular or descriptor control problems is studied. The solvability of such equations under different conditions is discussed. Numerical methods for the solution of the DAREs are applied to these equations after a transformation of the DARE to a form where ...
Kunkel, P., Mehrmann, V.
openaire   +1 more source

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

On one oscillatory criterion for the second order linear ordinary differential equations [PDF]

Opuscula Mathematica, 2016
The Riccati equation method is used to establish an oscillatory criterion for second order linear ordinary differential equations. An oscillatory condition is obtained for the generalized Hill's equation.
Gevorg Avagovich Grigorian
doaj   +1 more source

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, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations

Journal of Applied Mathematics, 2014
A numerical solution of fuzzy quadratic Riccati differential equation is estimated using a proposed new approach for neural networks (NN). This proposed new approach provides different degrees of polynomial subspaces for each of the transfer function ...
Mohammad Shazri Shahrir, N. Kumaresan, Kuru Ratnavelu, M. Z. M. Kamali   +3 more
doaj   +1 more source

Liouvillian propagators, Riccati equation and differential Galois theory [PDF]

Journal of Physics A: Mathematical and Theoretical, 2013
In this paper a Galoisian approach to build propagators through Riccati equations is presented. The main result corresponds to the relationship between the Galois integrability of the linear Schr dinger equation and the virtual solvability of the differential Galois group of its associated characteristic equation.
Acosta-Humánez, Primitivo B., Suazo, Erwin   +1 more
openaire   +2 more sources

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Complex Riccati differential equations revisited

Annales Academiae Scientiarum Fennicae Mathematica, 2014
The author gives a detailed study of the asymptotic properties of the solution to the Riccati differential equation \[ w'=a(z)-w^2, \tag(\text{R}) \] where \(a\) is a polynomial of the form \(a(z)=z^n+O(|z|^{n-1})\), \(z\to \infty\). In order to improve known results (e.g. [\textit{H.
openaire   +3 more sources

Time-asymptotic Dynamics of Hermitian Riccati Differential Equations

Taiwanese Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuo, Yueh-Cheng, Lin, Huey-Er, Shieh, Shih-Feng   +2 more
openaire   +3 more sources

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source