Results 21 to 30 of about 62,611 (177)

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

open access: yesOptimal Control Applications and Methods, EarlyView.
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   +4 more
wiley   +1 more source

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

open access: yesOptimal Control Applications and Methods, EarlyView.
(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   +2 more
wiley   +1 more source

Pontryagin Maximum Principle - a generalization

open access: yes, 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

Macroscopic Market Making Games

open access: yesMathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

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

open access: yesInternational 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

open access: yesSECURITY 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

Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions

open access: yes, 2015
Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained.
M. Mardanov, Y. Sharifov
semanticscholar   +1 more source

Exploring the Impact of Prior Degradation on the Performance and Lifetime of Second‐Life Li‐Ion Batteries

open access: yesBatteries &Supercaps, Volume 8, Issue 12, December 2025.
This review explores how prior degradation from first‐life use affects the performance, safety, and reliability of second‐life lithium‐ion batteries. The article highlights aging mechanisms and key degradation pathways, offering insight into optimizing battery repurposing strategies and supporting sustainable energy infrastructure.
Maedeh Askarzadehardestani   +2 more
wiley   +1 more source

Dynamical Modelling and Optimal Control of Conjunctivitis Epidemic

open access: yesEngineering Reports, Volume 7, Issue 12, December 2025.
Conjunctivitis disease was modelled using a deterministic modelling approach, with the dynamics presented by the compartments in the flowchart. The results showed that intervention D is the best cost‐effectiveness policy. ABSTRACT In this study, we develop a mathematical model for conjunctivitis transmission dynamics.
Sacrifice Nana‐Kyere   +5 more
wiley   +1 more source

Mathematical Modeling and Optimal Control of Combined Virotherapy and Adoptive T Cell Therapy for Cancer Treatment

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16263-16289, December 2025.
ABSTRACT In this study, we investigate the synergistic roles of adoptive T cell therapy (ACT), specifically using tumor‐infiltrating lymphocytes (TILs) and oncolytic virus (OV) therapy in enhancing cancer treatment efficacy. While OVs can initiate tumor destruction, they often fail to achieve complete tumor eradication or generate a strong antitumor ...
Salaheldin Omer   +2 more
wiley   +1 more source

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