A constrained control-theoretic spline is a smoothing spline, which can be modeled as the output of a linear and time-invariant dynamical system with constraints on the output curve. The problem addressed in this arti...
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ISBN:
(纸本)9781713872344
A constrained control-theoretic spline is a smoothing spline, which can be modeled as the output of a linear and time-invariant dynamical system with constraints on the output curve. The problem addressed in this article is that of synthesizing control-theoretic splines under uncountably many such constraints. While the standard formulation of control-theoretic splines involves finitely many constraints and has been studied from various perspectives, here we address the problem under uncountably many constraints by translating the problem into a convexsemi- infiniteprogram (SIP) and employing recently developed results to arrive at constructive and algorithmically tractable optimal solutions. We provide several examples to illustrate our results. Copyright (c) 2023 The Authors.
A constrained control-theoretic spline is a smoothing spline, which can be modeled as the output of a linear and time-invariant dynamical system with constraints on the output curve. The problem addressed in this arti...
详细信息
A constrained control-theoretic spline is a smoothing spline, which can be modeled as the output of a linear and time-invariant dynamical system with constraints on the output curve. The problem addressed in this article is that of synthesizing control-theoretic splines under uncountably many such constraints. While the standard formulation of control-theoretic splines involves finitely many constraints and has been studied from various perspectives, here we address the problem under uncountably many constraints by translating the problem into a convex semi-infinite program (SIP) and employing recently developed results to arrive at constructive and algorithmically tractable optimal solutions. We provide several examples to illustrate our results.
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