Optimal Vector Smoothing Splines with Coupled Constraints
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概要
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This paper considers the problem of designing optimal vector smoothing spline curves with equality and/or inequality constraints. The constraints are assumed to be cross-coupled among the element curves imposed at some time instant as well as over some time interval. The vector splines are constituted employing normalized uniform B-splines as the basis functions. Then various types of constraints are formulated as linear function of the so-called control points, and the problem is reduced to convex quadratic programming problem. The performance is examined by some numerical examples.
著者
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KANO Hiroyuki
Division of Science, School of Science and Engineering, Tokyo Denki University
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Kano Hiroyuki
Division Of Science School Of Science And Engineering Tokyo Denki University
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Fujioka Hiroyuki
Department of System Management, Fukuoka Institute of Technology
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FUJIOKAI Hiroyuki
Department of System Management, Fukuoka Institute of Technology
関連論文
- Discrete-Time Control Systems Approach for Optimal Smoothing Splines
- Optimal Vector Smoothing Splines with Coupled Constraints