Admissible slopes for monotone and convex interpolation

1987 ◽  
Vol 51 (4) ◽  
pp. 441-458 ◽  
Author(s):  
Alan Edelman ◽  
Charles A. Micchelli
Keyword(s):  
Convex Interpolation ◽  
Monotone And Convex Interpolation

Convex interpolation with minimalL ?-norm of the second derivative

1984 ◽  
Vol 186 (1) ◽  
pp. 49-56 ◽  
Author(s):  
Georgi L. Iliev ◽  
Walter Pollul
Keyword(s):  
Second Derivative ◽  
Convex Interpolation

scholarly journals Smooth strongly convex interpolation and exact worst-case performance of first-order methods

2016 ◽  
Vol 161 (1-2) ◽  
pp. 307-345 ◽  
Author(s):  
Adrien B. Taylor ◽  
Julien M. Hendrickx ◽  
François Glineur
Keyword(s):  
Worst Case ◽  
First Order ◽  
Strongly Convex ◽  
Convex Interpolation ◽  
First Order Methods

Semi-Active Vibration Isolation Control for Multi-Degree-of-Freedom Structures

2002 ◽  
Author(s):  
Hidekazu Nishimura ◽  
Yasuhiko Okumura ◽  
Seiji Shimodaira
Keyword(s):  
Vibration Isolation ◽  
Linear Time ◽  
Design Method ◽  
Linear Matrix ◽  
Orifice Area ◽  
Convex Interpolation ◽  
Active Vibration ◽  
Active Damper ◽  
Gain Scheduled ◽  
Active Vibration Isolation

In this paper, we propose a design method of a controller for semi-active vibration isolation. We introduce a mechanism of a semi-active damper, which can change the damping in the ratio of the orifice area, in order to obtain the parameter-varying system model. Consideration of the semi-active damper mechanism is appropriate for the design of the gain-scheduled (GS) controller based on linear matrix inequalities (LMIs). The GS controller consists of four-vertex linear time-invaxiant controllers are obtained by the convex interpolation of these controllers. The designed controller switches at zero velocity of the damper and varies according to both the orifice area and the relative velocity of the isolation layer. By carrying out simulations, it is shown that our proposed method is effective for the suppression of seismic response.

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