Results 51 to 60 of about 1,223,896 (216)

A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Advances in Mathematical Physics, 2013
A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations.
Bülent Kiliç, Hasan Bulut
doaj   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Upper bounds on the solution of coupled algebraic riccati equation

Journal of Inequalities and Applications, 2001
Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the unified coupled algebraic Riccati ...
Czornik Adam, Świerniak Andrzej
doaj  

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

EXPERIMENTAL IMPLEMENTATION OF SDRE METHOD FOR AUTONOMOUS RENDEZVOUS AND DOCKING MANEUVERING [PDF]

, 2013
In this paper a nonlinear controller technique, referred to State-Dependent Riccati Equation (SDRE), is exploited to handle relative position tracking and attitude synchronization problem involving in docking manoeuvring operations between two Earth ...
Theil, Stephan, Di Mauro, Giuseppe, Schlotterer, Markus, Lavagna, Michèle   +3 more
core  

Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation

AIP Advances, 2013
In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations.
Hasibun Naher, Farah Aini Abdullah, Syed Tauseef Mohyud-Din   +2 more
doaj   +1 more source

On integration of a matrix Riccati equation

Sibirskii zhurnal industrial'noi matematiki, 2020
We execute the complete integration of the simplest matrix Riccati equation in the two- and three-dimensional cases for an arbitrary linear differential operator. The solution is constructed in terms of the Jordan form of an unknown matrix and the corresponding similarity matrix.
Neshchadim, M. V., Chupakhin, A. P.
openaire   +2 more sources

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir, Merdan, M.   +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

A Schur method for the solution of the matrix Riccati equation

International Journal of Mathematics and Mathematical Sciences, 1997
This paper is concerned with an analytic solution of the finite-time matrix Riccati equation. The solution to the Riccati equation is given in terms of multiple of two matrices.
Mohsen Razzaghi
doaj   +1 more source