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Closed-loop state trajectories under P control with <em>K</em> = −3...
Published: March 2023
FIG. 8.20 Closed-loop state trajectories under P control with K = −3 with a depolarizing error parameter of 0.05 in the simulations labeled “0.05, Noise” a depolarizing error parameter of 0.005 in the simulations labeled “0.005, Noise,” and a depolarizing error parameter of 0.0005 in the simulations labeled “0.0005, Noise.” 1 shot is used in all cases. More about this image found in Closed-loop state trajectories under P control with K = −3...
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Closed-loop state trajectories under P control with <em>K</em> = −3...
Published: March 2023
FIG. 8.19 Closed-loop state trajectories under P control with K = −3 with a depolarizing error parameter of 0.05 in the simulations labeled “1 Shot, Noise” and “10 Shots, Noise.” These two simulations use 1 shot and 10 shots, respectively. More about this image found in Closed-loop state trajectories under P control with K = −3...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_008
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... from performing the multiplication procedure using a classical computer or the quantum simulator should be the same. This is reflected in Figs. 8.16 – 8.17 , where the results for both the cases labeled “Classical” and “Quantum, No Noise” are overlaid. Despite the agreement between these trajectories...
Book
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_012
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... design The process and measurement noise is added to the reduced-order model presented in Eq. ( 12.14 ) as follows: (12.15a) x ( t k + 1 ) = A x ( t k ) + B u ( t k ) + w ( t k ) (12.15b) y ( t k ) = H x ( t k ) + v ( t k...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
.... , and Durand , H. , “ Control implemented on quantum computers: Effects of noise, nondeterminism, and entanglement ,” Ind. Eng. Chem. Res.   61 ( 28 ), 10133 – 10155 ( 2022 ). 10.1021/acs.iecr.2c00454 Nieman , K. , Oyama , H. C. , Wegener , M. , and Durand , H. , “ Predict...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_011
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
...), and the random number w t k and v t k are the process and measurement noise, respectively. They are assumed to be independent of each other and follow the distribution: (11.16) w t k ∼ N ( 0 , Q ) v t k ∼ N ( 0 , R ) where Q...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735424395_007
EISBN: 978-0-7354-2439-5
ISBN: 978-0-7354-2436-4
... ). This provided a displacement range of 20 nm with a displacement measurement noise of 123 pm/Hz1/2. Linear encoders with accuracies of 0.5 µm/m over a range of 270 mm are commercially available ( Fleming, 2013 ; and Exposed Linear Encoders, 2021 ). The directional coupler based sensor ( Liu...
Book Chapter
Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425514_010
EISBN: 978-0-7354-2551-4
ISBN: 978-0-7354-2548-4
... the point of view of storytelling, myth-history has the great virtue of filtering out the noise of real life. […] There may, in fact, be no source for some of the best stories in science, but they have become such a part of the collective consciousness of scientists that they are ‘true,’ whether...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425613_002
EISBN: 978-0-7354-2561-3
ISBN: 978-0-7354-2560-6
... evaluation criterion to take into account the social resistance to products and services ( Alsayed et al., 2013 ). It is known that SA normally. Land use, visual impact, potential noise, shadow flicker, and eco-system impacts are all-inclusive and considered when SA is discussed. SA was estimated...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425590_006
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
... it from describing thermally activated processes (such as nucleation) which involves an energy barrier ( Cook, 1970 ). Thus modeling of the nucleation process requires incorporation of stochastic terms (Langevin force) and due to that we include an additional random noise terms in the evolution equations...
Book Chapter
Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425712_003
EISBN: 978-0-7354-2571-2
ISBN: 978-0-7354-2568-2
... from 2% of the earth's magnetic field). However, several noise problems are often recorded that make them difficult to use for experimental precision devices ( Stanescu, 2017 ; Pili et al., 2018 ; and Odenwald, 2019 ). The gyroscope determines the rotation of the device and helps to take...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425613_004
EISBN: 978-0-7354-2561-3
ISBN: 978-0-7354-2560-6
... lifetime, no noise, and no pollution emissions. With the constant increase in electricity demand, solar photovoltaic power generation systems will play a vital role in renewable energy utilization fields. In recent years, solar photovoltaic energy generation technology has developed rapidly, as illustrated...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_005
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... and suffers from random noise. To find the best solution to the optimization problem, a genetic algorithm based on elitist preservation was used. As a popular evolutionary algorithm, the genetic algorithm was first developed by Holland (1992) . It can be used for both heliostat field layout optimization...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425590_007
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
... the simulations were performed at room temperature. In this case study, since an open-circuit boundary condition is employed on the free surface of the film and there is an electrode at the bottom surface, initial polarization is created by introducing a small amount of random noise with a uniform distribution...
Book Chapter
Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425514_011
EISBN: 978-0-7354-2551-4
ISBN: 978-0-7354-2548-4
... findings can be considered “noise” for long-term research, artefacts produced by differences between the conditions for pre- and post-test, the earlier corresponding to functional performance, and the latter closer to optimal performance due to more context during instruction? Which perspective is valid...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_009
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... (Tm) and has the form of the generalized model in ( 9.14 ). The unmeasured disturbances Q ˙ i n t and It may not be effectively modeled as white noise and are correlated with the outdoor air temperature, a measured disturbance. FIG. 9.2 Thermal RC...