Results 81 to 90 of about 2,598,889 (217)

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

On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb, Julian Berberich, Melanie Zeilinger, Andrea Carron   +3 more
wiley   +1 more source

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms

, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu, Rapisarda, Paolo   +3 more
core  

Solving coupled Riccati matrix differential systems

, 1991
We start by noting that coupled Riccati matrix differential systems appearing in differential games may be considered as a single rectangular Riccati equation.
Jódar, Lucas
core   +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, Volume 47, Issue 6, Page 1317-1328, November/December 2026.
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

Differential Transform Method for Quadratic Riccati Differential Equation, [PDF]

, 2010
: In this article differential transform method (DTM) is considered to solve quadratic Riccati differential equation. The results derived by differential transform method will be compared with the results of homotopy analysis method and Adomian ...
J Biazar, M Eslami
core  

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

Safeguarded Reinforcement Learning for Dynamic Environments

Optimal Control Applications and Methods, Volume 47, Issue 6, Page 1543-1555, November/December 2026.
This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley   +1 more source

On the asymptotic behavior of the projection Riccati differential equation

, 1994
The solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic
Callier, Frank M., F.M. Callier, J. Winkin, Winkin, Joseph; id_orcid   +3 more
core   +1 more source

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