• Journal of applied mathematics & informatics
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• v.15 no.1_2
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• pp.185-200
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• 2004

A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.

• Journal of Korean Society for Quality Management
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• v.34 no.1
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• pp.48-53
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• 2006

Applying Bayesian optimal design principles is not easy when a prior distribution is not certain. We present a optimal design criterion which possibly yield a reasonably good design and also robust with respect to misspecification of the prior distributions. The criterion is applied to the problem of estimating the turning point of a quadratic regression. Exact mathematical results are presented under certain conditions on prior distributions. Computational results are given for some cases not satisfying our conditions.

• Communications of the Korean Mathematical Society
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• v.35 no.4
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• pp.1329-1352
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• 2020

In this paper we consider a class of nonlinear evolution equations on infinite dimensional Banach spaces driven by vector measures. We prove existence and uniqueness of solutions and continuous dependence of solutions on the control measures. Using these results we prove existence of optimal controls for Bolza problems. Based on this result we present necessary conditions of optimality.

• Journal of the Korean Mathematical Society
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• v.43 no.1
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• pp.87-98
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• 2006

In this paper, a class of constrained inverse eigenvalue problem for antisymmetric matrices and their optimal approximation problem are considered. Some sufficient and necessary conditions of the solvability for the inverse eigenvalue problem are given. A general representation of the solution is presented for a solvable case. Furthermore, an expression of the solution for the optimal approximation problem is given.

• Korean Journal of Veterinary Research
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• v.27 no.1
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• pp.41-45
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• 1987

The present study was carried out to investigate the optimal conditions on blastogenesis of guinea pig lymphocytes. A microculture system in conjuction with a semiautomatic multiple sample harvester was used to study the in vitro optimal condition of guinea pig lymphocytes. Careful analysis of lymphocyte transformation to concanavalin A (Con A) and lipopolysaccharide (LPS) mitogen determined optimal conditions as: (a) 10% fetal bovine serum in RPMI-1640 medium (b) 48-hour culture period.

• CDE review
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• v.21 no.2
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• pp.34-38
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• 2015

In case of the big city, choosing the adequate root of which we can reach the destination can affect the driver's condition and driving time. so it is quite important to find the optimal routes for arriving the destination as considering the factors, such as driving conditions or travel time and so on. In this paper, we develop route choice model with considering driving conditions and travel time, and it can search the optimal path which make drivers reduce their fatigues using genetic algorithm.

• Nonlinear Functional Analysis and Applications
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• v.27 no.4
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• pp.813-837
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• 2022

In this paper we consider inverse problem for a general class of nonlinear stochastic differential equations on Hilbert spaces whose generating operators (drift, diffusion and jump kernels) are unknown. We introduce a class of function spaces and put a suitable topology on such spaces and prove existence of optimal generating operators from these spaces. We present also necessary conditions of optimality including an algorithm and its convergence whereby one can construct the optimal generators (drift, diffusion and jump kernel).

• Proceedings of the KIPE Conference
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• 2020.08a
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• pp.373-374
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• 2020

This paper proposes an optimal control algorithm which determines active damping resistor values considering load variation and grid side current THD. Proposed optimal control algorithm improves grid side current THD of the interlinking converter without passive damping resistor and is verified by simulation under variable load conditions.

• KCID journal
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• v.1 no.2
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• pp.29-35
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• 1994

An economically optimal design procedure for the pipe network is proposed. The conditions of pipe network which we have considered are relatively large; no limitations of pipe elements, multiple oater sources, mired conditions of reservoirs and pumping st

• 전기의세계
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• v.19 no.2
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• pp.21-23
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• 1970

Necessary conditions of optimal distributed parameter control systems, Hamiltons coanonical equations, welerstress condition, transversality condition and boundary condition are obtained, when the control function is constrained and the performance index takes on the general form. Also it is concluded that the lumped parameter system is the special case of the distributed parameter system.