Optimal Nonlinear Control Using a Non-quadratic Cost Function for Scalar Systems

2013 ◽  
pp. 211-217
Author(s):  
Elham Hemmat-Abiri ◽  
Erik A. Johnson
Keyword(s):  
Nonlinear Control ◽  
Cost Function ◽  
Quadratic Cost ◽  
Quadratic Cost Function

scholarly journals A Monge–Ampère Problem with Non-quadratic Cost Function to Compute Freeform Lens Surfaces

2019 ◽  
Vol 80 (1) ◽  
pp. 475-499 ◽  
Author(s):  
N. K. Yadav ◽  
J. H. M. ten Thije Boonkkamp ◽  
W. L. IJzerman
Keyword(s):  
Cost Function ◽  
Quadratic Cost ◽  
Monge Ampere ◽  
Quadratic Cost Function ◽  
Freeform Lens

scholarly journals Regularized quadratic cost function for oriented fringe-pattern filtering

2009 ◽  
Vol 34 (11) ◽  
pp. 1741 ◽  
Author(s):  
Jesús Villa ◽  
Juan Antonio Quiroga ◽  
Ismael De la Rosa
Keyword(s):  
Cost Function ◽  
Fringe Pattern ◽  
Quadratic Cost ◽  
Quadratic Cost Function

scholarly journals Half-quadratic cost function for computing arbitrary phase shifts and phase: Adaptive out of step phase shifting

2006 ◽  
Vol 14 (8) ◽  
pp. 3204 ◽  
Author(s):  
Mariano Rivera ◽  
Rocky Bizuet ◽  
Amalia Martinez ◽  
Juan A. Rayas
Keyword(s):  
Cost Function ◽  
Phase Shifts ◽  
Phase Shifting ◽  
Quadratic Cost ◽  
Arbitrary Phase ◽  
Quadratic Cost Function

scholarly journals Analysis of an SQEIAR epidemic model with media coverage and asymptomatic infection

2021 ◽  
Vol 6 (11) ◽  
pp. 12298-12320
Author(s):  
Xiangyun Shi ◽  
◽  
Xiwen Gao ◽  
Xueyong Zhou ◽  
Yongfeng Li ◽  
...  
Keyword(s):  
Maximum Principle ◽  
Cost Function ◽  
Basic Reproduction Number ◽  
Epidemic Model ◽  
Media Coverage ◽  
Reproduction Number ◽  
Asymptomatic Infection ◽  
Quadratic Cost ◽  
Quadratic Cost Function ◽  
The Basic Reproduction Number

<abstract><p>An SQEIAR model with media coverage and asymptomatic infection is proposed for populations with a certain level of immunity. Firstly, we discuss the extinction and persistence for the diseases of the model by using basic reproduction number $ \mathcal{R}_C $. Then the parameter threshold is analyzed and the effect of parameters on the basic reproduction number is discussed. Furthermore, the optimal media coverage strategy and quarantine strategy for optimal problems under quadratic cost function are derived by applying Pontryagin's Maximum Principle.</p></abstract>

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