Results 81 to 90 of about 2,466,055 (210)

Quaternion-based state-dependent differential Riccati equation for quadrotor drones: Regulation control problem in aerobatic flight

, 2022
The quaternion is a powerful and common tool to avoid singularity in rotational dynamics in three-dimensional (3D) space. Here it has been particularly used as an alternative to Euler angles and rotation matrix.
Nekoo, Saeed Rafee, Ollero Baturone, Aníbal, Acosta Rodríguez, José Ángel   +2 more
core   +1 more source

Market Making With Fads, Informed, and Uninformed Traders

Mathematical Finance, EarlyView.
ABSTRACT We characterize the solution to a continuous‐time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads —these are short‐term deviations from the fundamental value of the asset.
Emilio Barucci, Adrien Mathieu, Leandro Sánchez‐Betancourt   +2 more
wiley   +1 more source

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

Complementary Control Strategies for Floating Offshore Wind Turbines: Gain Scheduling With LQG Enhancement and Equivalent Wind Speed–Based Individual Pitch

Wind Energy, Volume 29, Issue 10, October 2026.
ABSTRACT This study investigates control strategies for large‐scale floating offshore wind turbines using the semi‐submersible IEA 15‐MW turbine as a benchmark. A gain‐scheduled PI (GSPI) controller is firstly established as the baseline for collective pitch control (CPC).
Dongxiao Bai, Bing Wang, Kai Sheng, Wancheng Wang   +3 more
wiley   +1 more source

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

International Journal of Robust and Nonlinear Control, Volume 36, Issue 14, Page 6856-6876, 25 September 2026.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas, Dmitry Ignatyev, Argyrios Zolotas, Antonios Tsourdos   +3 more
wiley   +1 more source

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj   +1 more source

Probing Strong Coupling in Core–Shell Nanoparticles With Fast Electron Beams

physica status solidi (a), Volume 223, Issue 17, 9 September 2026.
An exact analytic formalism for evaluating electron‐energy loss and cathodoluminescence probabilities for core–shell nanoparticles explored by electron‐beam spectroscopies is derived. The formalism is exploited to understand strong exciton–plasmon and exciton–Mie mode coupling in nanophotonic architectures.
Annika Brandt, Christos Tserkezis, Carsten Rockstuhl, P. Elli Stamatopoulou   +3 more
wiley   +1 more source

On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate [PDF]

, 1973
summary:In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given.
Navarro, E., Eisenfeld, J, Jódar, Lucas
core   +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  

Quaternionic-valued ordinary differential equations. The Riccati equation

Journal of Differential Equations, 2009
The paper uses Poincaré's operator and finite-dimensional fixed point theory to obtain existence and multiplicity results for the T-periodic solutions \(q(t)\) of quaternionic-valued equations of the form \[ \dot q = qa(t)q + b(t)q + qd(t) + c(t), \] where \(a, b, c : \mathbb R \to \mathbb H\) are T-periodic continuous quaternionic-valued functions ...
openaire   +2 more sources