Results 41 to 50 of about 9,613,117 (241)

A Chiellini type integrability condition for the generalized first kind Abel differential equation [PDF]

, 2013
The Chiellini integrability condition of the first order first kind Abel equation $dy/dx=f(x)y^2+g(x)y^3$ is extended to the case of the general Abel equation of the form $dy/dx=a(x)+b(x)y+f(x)y^{\alpha -1}+g(x)y^{\alpha}$, where $\alpha \in \Re$, and ...
Harko, Tiberiu, Lobo, Francisco S. N., Mak, M. K.   +2 more
core   +1 more source

Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations

Advances in Difference Equations, 2017
In this paper, the sine-cosine wavelet method is presented for solving Riccati differential equations. The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic ...
Yanxin Wang, Tianhe Yin, Li Zhu
doaj   +1 more source

Gain-scheduling through continuation of observer-based realizations-applications to H∞ and μ controllers [PDF]

, 2000
The dynamic behavior of gain scheduled controllers is highly depending on the state-space representations adopted for the family of lienar controllers designed on a set of operating conditions.
Alazard, Daniel, Apkarian, Pierre, Pellanda, Paulo   +2 more
core   +1 more source

Riccati techniques and oscillation for self-adjoint matrix Hamiltonian systems

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Qi-Ru, Xu, Yuan-Tong, Mathsen, Ronald M.   +2 more
openaire   +2 more sources

Group theoretical approach to the intertwined Hamiltonians

, 2001
We show that the finite difference B\"acklund formula for the Schr\"odinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered by two of us in a previous paper.
Adler, Adler, Anderson, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Arturo Ramos, Bagrov, Bagrov, Beckers, Beckers, Beckers, Calogero, Cariñena, Cariñena, Cariñena, Cariñena, Cariñena, Cariñena, Cooper, Crum, David J. Fernández C., del Olmo, del Olmo, Dongpei, Díaz, Fernández, Fernández, Fernández, Fernández, Fernández, Fernández, Gendenshteı̈, Gradshteyn, Harnad, Havlíc̆ec, Infeld, José F. Cariñena, Junker, Libermann, Matveev, Mielnik, Mielnik, Nieto, Reed, Rosas-Ortiz, Shabat, Strelchenya, Veselov   +52 more
core   +2 more sources

The Riccati-Bernoulli Sub-ODE Technique for Solving the Deterministic (Stochastic) Generalized-Zakharov System

International Journal of Mathematics and Systems Science, 2018
This article concerns  with  the  construction of the  analytical traveling  wave so- lutions  for the Generalized-Zakharov System  by the Riccati-Bernoulli Sub- ODE technique.
M. Abdelrahman, M. Sohaly
semanticscholar   +1 more source

Oscillation criteria for perturbed half-linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +1 more source

Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation [PDF]

, 2007
In this paper, two methods for approximating the stabilizing solution of the Hamilton–Jacobi equation are proposed using symplectic geometry and a Hamiltonian perturbation technique as well as stable manifold theory.
21858, 21859, Sakamoto, Noboru, van, der Schaft Arjan J.   +3 more
core   +5 more sources

Studying Mixed Precision Techniques For The Solution Of Algebraic Riccati Equations

, 2017
We evaluate different algorithms and the use of a mixed-precision approach for the solution of Algebraic Riccati Equations (AREs). The mixed-precision method obtains an approximation to the solution using single-precision arithmetic and then, this approximation is improved via a cheap iterative refinement.
Benner, P. ; https://orcid.org/0000-0003-3362-4103, Dufrechou, E., Ezzatti, P., Remón, A.   +3 more
openaire   +2 more sources

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source