Results 11 to 20 of about 1,692 (206)

Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations [PDF]

Mathematics, 2021
We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is ensured by the divergence of a certain integral.
Zuzana Pátíková, Simona Fišnarová
exaly   +6 more sources

A reduction technique for generalised Riccati difference equations arising in linear-quadratic optimal control [PDF]

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
In this paper we develop a reduction technique for the generalised Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a decomposition method for the generalised Riccati difference equation that isolates its nilpotent part, which becomes constant in a number of iteration steps equal to the nilpotency ...
Augusto Ferrante, Lorenzo Ntogramatzidis   +1 more
exaly   +4 more sources

Modified Riccati technique for half-linear differential equations with delay

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
doaj   +4 more sources

Oscillation Criteria for PDE with p-Laplacian via the Riccati Technique

Journal of Mathematical Analysis and Applications, 2000
The aim of this paper is to give some oscillation criteria for the following partial differential equation (PDE) with \(p\)-Laplacian: \[ \text{div}(\|\nabla u\|^{p-2}\nabla u)+ c(x)\phi(u)=0,\tag{1} \] where \(p>1\) and \(\phi(u)=|u|^{p-2}u\). The equation (1) is said to be oscillatory if every solution \(u\) is oscillatory, i.e., \(u\) has a zero in \
Robert Marik
exaly   +3 more sources

Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations [PDF]

Advances in Difference Equations, 2008
We consider the half-linear second-order difference equation , , , where , are real-valued sequences. We associate with the above-mentioned equation a linear second-order difference equation and we show that oscillatory properties of the above ...
Fišnarová Simona, Došlý Ondřej   +1 more
doaj   +6 more sources

Nonlinear Suboptimal Tracking Controller Design Using State-Dependent Riccati Equation Technique

IEEE Transactions on Control Systems Technology, 2017
In this brief, a new technique for solving a suboptimal tracking problem for a class of nonlinear dynamical systems is presented. Toward this end, an optimal tracking problem using a discounted cost function is defined and a control law with a feedback-feedforward structure is designed.
Yazdan Batmani, Mohammadreza Davoodi, Nader Meskin   +2 more
exaly   +6 more sources

A Riccati technique for proving oscillation of a half-linear equation

Electronic Journal of Differential Equations, 2008
In this paper we study the oscillation of solutions to the half-linear differential equation $$ (r(t)|y'|^{p-1}hbox{sgn} y)'+c(t)|y|^{p-1}hbox{sgn} y=0, $$ under the assumptions $int^infty r^{1/(1-p)}(s),ds0$, $p>1$.
Pavel Rehak
doaj   +6 more sources

Approximate solution for quadratic Riccati differential equation

Journal of Taibah University for Science, 2017
The quadratic Riccati differential equations are a class of nonlinear differential equations of much importance, and play a significant role in many fields of applied science.
Fateme Ghomanjani, Esmaile Khorram
doaj   +3 more sources

A reduction technique for discrete generalized algebraic and difference Riccati equations [PDF]

Linear and Multilinear Algebra, 2013
This paper proposes a reduction technique for the generalized Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalized discrete algebraic Riccati equation. In particular, an analysis on the eigenstructure of the corresponding extended symplectic pencil enables to identify a ...
FERRANTE, AUGUSTO, Lorenzo Ntogramatzidis   +1 more
openaire   +3 more sources

Exploring the exact solutions to the nonlinear systems with neural networks method [PDF]

Scientific Reports
This paper explores the use of Riccati subequation neural networks to solve nonlinear partial differential equations modeling complex biological processes like cancer, brain function, and wound healing.
Jan Muhammad, Ali H. Tedjani, Ejaz Hussain, Usman Younas   +3 more
doaj   +2 more sources