Disease Spread in Coupled Populations: Minimizing Response Strategies Costs in Discrete Time Models
Discrete Dynamics in Nature and Society, 2013 Social distancing, vaccination, and medical treatments have been extensively studied and widely used to control the spread of infectious diseases. However, it is still a difficult task for health administrators to determine the optimal combination of ...
Geisel Alpízar, Luis F. Gordillo
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Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes
, 2020 The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping processes have been recently recognized among the most interesting and challenging problems in modern control theory ...
Mordukhovich, Boris S., Nguyen, Dao
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JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS [PDF]
Journal of the Korean Mathematical Society, 2012 This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system.
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Adaptive variational discretization approximation method for parabolic optimal control problems [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme. Secondly, we derive a posteriori error estimates of the approximation solutions.
Yuelong Tang, Yuchun Hua
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Variable abstraction and approximations in supervisory control synthesis [PDF]
, 2013 This paper proposes a method to simplify Extended Finite-state Automata (EFA) in such a way the least restrictive controllable supervisor is preserved.
Jose E. R. Cury +7 more
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Stochastic model predictive control for constrained networked control systems with random time delay [PDF]
, 2011 In this paper the continuous time stochastic constrained optimal control problem is formulated for the class of networked control systems assuming that time delays follow a discrete-time, finite Markov chain . Polytopic overapproximations of the system's
Panagiotis Patrinos +9 more
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Discrete-Time Approximation of Stochastic Optimal Control with Partial Observation
SIAM Journal on Control and Optimization23 ...
Yunzhang Li, Xiaolu Tan, Shanjian Tang
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A Discrete Dynamic Programming Approximation to the Multiobjective Deterministic Finite Horizon Optimal Control Problem [PDF]
SIAM Journal on Control and Optimization, 2009 Summary: This paper addresses the problem of finding an approximation to the minimal element set of the objective space for the class of multiobjective deterministic finite horizon optimal control problems. The objective space is assumed to be partially ordered by a pointed convex cone containing the origin.
A. Guigue +3 more
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