Results 21 to 30 of about 69 (69)

On the Convergence of Conjugate Gradient and GMRES Algorithms in the Forward Backward Sweep Method for Optimal Control

Optimal Control Applications and Methods, Volume 47, Issue 2, Page 498-510, March/April 2026.
Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera, N. Rabiei, A. Bijalwan, A. Rodríguez‐Ferran, J. J. Muñoz   +4 more
wiley   +1 more source

Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle

Optimal Control Applications and Methods, Volume 47, Issue 2, Page 643-657, March/April 2026.
(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov, Vladimir Turetsky, Tal Shima   +2 more
wiley   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Axion Black Hole Solution in Non‐Metricity Gravity

Fortschritte der Physik, Volume 74, Issue 2, February 2026.
Abstract A static, spherically symmetric black hole solution in symmetric teleparallel (non‐metricity) gravity sourced by an axion field is constructed. Starting from the modified field equations, exact configurations are obtained characterized by the mass M$M$ and an axion–geometry coupling β$\beta$, with temporal metric function A(r)=1−2Mr+βr$A(r)=1-\
A. Eid, G.G.L. Nashed
wiley   +1 more source

Testing a General Theory for Optimal Flowering Time in Deciduous Perennial Plants as a Function of Growing Season Length

Ecology Letters, Volume 29, Issue 2, February 2026.
Climate change affects both the start and duration of growing seasons, creating complex effects on optimal flowering timing that go beyond simple responses to earlier springs. Using optimal energy allocation theory, we found a nonlinear relationship between growing season length and optimal flowering time which was supported by two experiments with ...
John S. Park, John Jackson, Anna Bergsten, Jon Ågren   +3 more
wiley   +1 more source

Pontryagin Maximum Principle - a generalization

, 2009
The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects generalizing Lie algebroids. This formulation of the PMP yields, in particular, a scheme comprising reductions of optimal control problems similar to the reduction for the rigid ...
Grabowski, Janusz, Jozwikowski, Michal
openaire   +2 more sources

Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets

International Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

On the proof of Michel of the maximum Pontryagin Principle

, 2019
We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, for a system governed by an ordinary differential equation, in presence of final constraints, in the setting of the piece-wise differentiable state functions (valued in a Banach space) and of piecewise continuous control functions (valued in a metric space)
Blot, Joël, Yilmaz, Hasan
openaire   +2 more sources

On the sufficiency of Pontryagin's maximum principle

, 2016
This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for
Ferreira, M. Margarida A., Smirnov, Georgi   +1 more
openaire   +2 more sources