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A method for relaxing state constraints in nonsmooth optimal control problems

Журнал Белорусского государственного университета: Математика, информатика, 2022
In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints.
Michael P. Dymkov, Siarhey M. Dymkou
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Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method

Applied Sciences, 2021
Local modal vibration could adversely affect the dynamical environment, which should be considered in the structural design. For the mode switching phenomena, the traditional structural optimization method for problems with specific order of modal ...
Shenyan Chen, Ziqi Dai, Wenjing Shi, Yanjie Liu, Jianhongyu Li   +4 more
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Approximating Trajectory Constraints With Machine Learning – Microgrid Islanding With Frequency Constraints [PDF]

IEEE Transactions on Power Systems, 2021
In this paper, we introduce a deep learning aided constraint encoding method to tackle the frequency-constraint microgrid scheduling problem. The nonlinear function between system operating condition and frequency nadir is approximated by using a neural network, which admits an exact mixed-integer formulation (MIP).
Yichen Zhang, Chen Chen, Guodong Liu, Tianqi Hong, Feng Qiu   +4 more
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Least Squares Approximation With Constraints [PDF]

Mathematics of Computation, 1986
In this paper we study two families of functions F e {F_e} and F o {F_o} , and show how to approximate the functions in the interval [ − 1 , 1 ] [ - 1,1] .
Milovanović, Gradimir V., Wrigge, Staffan   +1 more
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Diophantine approximation with constraints

Acta Arithmetica, 2023
Following Schmidt, Thurnheer and Bugeaud-Kristensen, we study how Dirichlet's theorem on linear forms needs to be modified when one requires that the vectors of coefficients of the linear forms make a bounded acute angle with respect to a fixed proper non-zero subspace $V$ of $\mathbb{R}^n$.
Champagne, Jérémy, Roy, Damien
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Overall instability and optimization of bar structures with random defects in case of constraints on faultless operation probability [PDF]

Инженерно-строительный журнал, 2013
The aim of this paper is to pose and solve weight optimization problem of bar structures with constraints on faultless operation probability of a structure and constraints on design variables.
O.A. Sergeyev, V.G. Kiselev, S.A. Sergeyeva   +2 more
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A Novel Local Search-Based Approximation Algorithm to Optimize Virtual Machine Placement With Resource Constraints [PDF]

MATEC Web of Conferences, 2021
Many problems in cloud computing are not solvable in polynomial time and only option left is to choose approximate solution instead of optimum. Virtual Machine placement is one of such problem with resource constraints in which overall objective is to ...
Maheshbhai Shah Darshan, Murthi M. Vinayaka, Kumar Anand   +2 more
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Approximation with interpolatory constraints [PDF]

Proceedings of the American Mathematical Society, 2001
Given a triangular array of points on [ − 1 , 1 ] [-1,1] satisfying certain minimal separation conditions, a classical theorem of Szabados asserts the existence of polynomial operators that provide interpolation at these points as well as a near-optimal degree of approximation for arbitrary ...
Mhaskar, H. N., Narcowich, F. J., Sivakumar, N., Ward, J. D.   +3 more
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𝐿¹-approximation with constraints [PDF]

Transactions of the American Mathematical Society, 1990
In this paper we study problems of best L 1 {L^1} -approximation to continuous functions from finite-dimensional subspaces under a variety of constraints. Included are problems of bounded coefficient approximation, approximation with interpolation, restricted range approximation, and restricted range
Allan Pinkus, Hans Strauss
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A smooth approximation approach for optimization with probabilistic constraints based on sigmoid function

Journal of Inequalities and Applications, 2022
Many practical problems, such as computer science, communications network, product design, system control, statistics and finance, etc.,can be formulated as a probabilistic constrained optimization problem (PCOP) which is challenging to solve since it is
Yong H. Ren, Ying Xiong, Yu H. Yan, Jian Gu   +3 more
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