Results 11 to 20 of about 5,437 (226)
Optimal Control of Differential Inclusions, I: Lipschitzian case
Известия Иркутского государственного университета: Серия "Математика", 2019 We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation.
B.S. Mordukhovich
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Optimal Control of Neutral Functional-Differential Inclusions Linear in Velocities
Trends in Computational and Applied Mathematics, 2004 This paper studies optimal control problems for dynamical systems governed by neutral functional-differential inclusions that linearly depend on delayed velocity variables.
B.S. Mordukovich, L. Wang
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On the dynamic programming algorithm under the assumption of monotonicity
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We formulate a discrete optimal control problem, which has not been considered earlier, which arises in the design of oil and gas networks. For this problem we set four theorems so that you can have a process, the optimal process and the optimum value ...
Valery G Ovchinnikov
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Journal of Differential Equations, 2021 This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls in polyhedral moving sets. We develop a constructive discrete approximation procedure that allows us to strongly approximate any feasible trajectory of the controlled ...
Tan H. Cao +3 more
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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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Convergence of discrete-time approximations of constrained linear-quadratic optimal control problems [PDF]
49th IEEE Conference on Decision and Control (CDC), 2010 Continuous-time linear constrained optimal control problems are in practice often solved using discretization techniques, e.g. in model predictive control (MPC). This requires the discretization of the (linear time-invariant) dynamics and the cost functional leading to discrete-time optimization problems.
Lanshan Han +3 more
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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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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
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