{"product_id":"student-support-for-research-in-hierarchical-control-and-trajectory-planning-1288916051","title":"Student Support for Research in Hierarchical Control and Trajectory Planning","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 1288916051\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Martin, Clyde F\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eGenerally, classical polynomial splines tend to exhibit unwanted undulations. In this work, we discuss a technique, based on control principles, for eliminating these undulations and increasing the smoothness properties of the spline interpolants. We give a generalization of the classical polynomial splines and show that this generalization is, in fact, a family of splines that covers the broad spectrum of polynomial, trigonometric and exponential splines. A particular element in this family is determined by the appropriate control data. It is shown that this technique is easy to implement. Several numerical and curve-fitting examples are given to illustrate the advantages of this technique over the classical approach. Finally, we discuss the convergence properties of the interpolant.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51963558986016,"sku":"NEW1288916051","price":19.14,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/student-support-for-research-in-hierarchical-control-and-trajectory-planning-1288916051","provider":"Miakarts Books","version":"1.0","type":"link"}