Optimal control for a mathematical model for chemotherapy with pharmacometrics [PDF]
Mathematical Modelling of Natural Phenomena, 2020 An optimal control problem for an abstract mathematical model for cancer chemotherapy is considered. The dynamics is for a single drug and includes pharmacodynamic (PD) and pharmacokinetic (PK) models. The aim is to point out qualitative changes in the structures of optimal controls that occur as these pharmacometric models are varied. This concerns (i)
Urszula Ledzewicz +3 more
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Optimal Strategies for Control of COVID-19: A Mathematical Perspective [PDF]
Scientifica, 2020 A deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. It is shown that in the absence of infective immigrants, the model has a locally asymptotically stable disease-free equilibrium ...
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Canonical Form of Lyapunov Second Method in Mathematical Modelling and Control Design [PDF]
arXiv, 2021 The objective of the paper is to put canonical Lyapunov function(CLF), canonizing diffeomorphism (CD) and canonical form of dynamical systems (CFDS), which have led to the generalization of the Lyapunov second method, in perspective of their high efficiency for Mathematical Modelling and Control Design.
arxiv
Hybridization of multi-objective deterministic particle swarm with derivative-free local searches [PDF]
, 2020 The paper presents a multi-objective derivative-free and deterministic global/local hybrid algorithm for the efficient and effective solution of simulation-based design optimization (SBDO) problems.
Diez, M. +5 more
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Mathematical Model and Analysis of Corruption Dynamics with Optimal Control [PDF]
Journal of Applied Mathematics, 2022 In this study, a deterministic mathematical model that explains the transmission dynamics of corruption is proposed and analyzed by considering social influence on honest individuals. Positivity and boundedness of solution of the model are proved and basic reproduction number
Abayneh Kebede Fantaye +1 more
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Algorithms for optimal control of stochastic switching systems [PDF]
, 2016 © 2016 Society for Industrial and Applied Mathematics. Optimal control problems of switching type with linear state dynamics are ubiquitous in applications of stochastic optimization.
Hinz, J, Yap, N
core +1 more source
Control hubs of complex networks and a polynomial-time identification algorithm [PDF]
arXiv, 2022 Unveiling the underlying control principles of complex networks is one of the ultimate goals of network science. We introduce a novel concept, control hub, to reveal a cornerstone of the control structure of a network. The control hubs of a network are the nodes that lie in the middle of a control path in every control scheme of the network. We present
arxiv
Quantum control in infinite dimensions [PDF]
Physics Letters A 322 (2004) 282-285, 2003 Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied.
arxiv +1 more source
A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization [PDF]
, 2012 Fixed-basis and variable-basis approximation schemes are compared for the problems of function approximation and functional optimization (also known as infinite programming).
Gnecco, Giorgio
core +3 more sources
A Note on Low-Pass Filter Conditioning for Current-Mode Control [PDF]
arXiv, 2022 The low-pass filter is a classic control conditioning approach for high-frequency current-mode control. However, no existing literature discusses the large-signal stability criterion for the current-mode control with low-pass filters. This paper provides a mathematically rigorous large-signal stability criterion.
arxiv