The two-thirds power law, an empirical law stating an inverse non-linear relationship between the tangential hand speed and the curvature of its trajectory during curved motion, is widely acknowledged to be an invaria...
The two-thirds power law, an empirical law stating an inverse non-linear relationship between the tangential hand speed and the curvature of its trajectory during curved motion, is widely acknowledged to be an invariant of upper-limb movement. It has also been shown to exist in eye-motion, locomotion and was even demonstrated in motion perception and prediction. This ubiquity has fostered various attempts to uncover the origins of this empirical relationship. In these it was generally attributed either to smoothness in hand- or joint-space or to the result of mechanisms that damp noise inherent in the motor system to produce the smooth trajectories evident in healthy human *** show here that white Gaussian noise also obeys this power-law. Analysis of signal and noise combinations shows that trajectories that were synthetically created not to comply with the power-law are transformed to power-law compliant ones after combination with low levels of noise. Furthermore, there exist colored noise types that drive non-power-law trajectories to power-law compliance and are not affected by smoothing. These results suggest caution when running experiments aimed at verifying the power-law or assuming its underlying existence without proper analysis of the noise. Our results could also suggest that the power-law might be derived not from smoothness or smoothness-inducing mechanisms operating on the noise inherent in our motor system but rather from the correlated noise which is inherent in this motor system.
The algorithm and explicit formulae for the elements of the inverse of five-diagonal matrices are presented. The results are obtained by relationships between the elements of the inverse and the elements of special tw...
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The algorithm and explicit formulae for the elements of the inverse of five-diagonal matrices are presented. The results are obtained by relationships between the elements of the inverse and the elements of special twisted decompositions of it. Operation count of the algorithm have an advantage over that of the standard LU decomposition based on the Gaussian elimination, and some results can also be extended to block five-diagonal matrices. Result obtained improves result in the known corresponding references.
Norm-optimal iterative learning control has potential to significantly increase the accuracy of many trajectory tracking tasks which can be found in industry. The algorithm can achieve very low levels of tracking erro...
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Norm-optimal iterative learning control has potential to significantly increase the accuracy of many trajectory tracking tasks which can be found in industry. The algorithm can achieve very low levels of tracking error and the number of iterations required to reach minimal error is small compared to many other iterative learning control algorithms. However, in the current format, the algorithm is not attractive to industry because it requires a large number of calculations to be performed at each sample instant. This implies that control hardware must be very fast which is expensive, or that the sample frequency must be reduced which can result in reduced performance. To remedy these problems, a revised version, fast norm-optimal iterative learning control is proposed which is significantly simpler and faster to implement. The new version is tested both in simulation and in practice on a three axis industrial gantry robot.
The design of spot markets for generation services, such as energy, regulation, and operating reserves, and longer term markets for capacity, remain in evolution in many countries. Market design includes definition of...
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We describe a mechanism for realizing a controlled phase gate for solid-state charge qubits. By augmenting the positionally defined qubit with an auxiliary state, and changing the charge distribution in the three-dot ...
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We describe a mechanism for realizing a controlled phase gate for solid-state charge qubits. By augmenting the positionally defined qubit with an auxiliary state, and changing the charge distribution in the three-dot system, we are able to effectively switch the Coulombic interaction, effecting an entangling gate. We consider two architectures, and numerically investigate their robustness to gate noise.
Some sufficient criterias about the existence and uniqueness of a ω-periodic solution are obtained under the assumption of that each output response is bounded and satisfies Lipschitz condition for Hopfield neural ne...
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Some sufficient criterias about the existence and uniqueness of a ω-periodic solution are obtained under the assumption of that each output response is bounded and satisfies Lipschitz condition for Hopfield neural network, when all input signals are continuously ω-periodic functions and the network parameters satisfy suitable conditions, by means of the method of a suitable Lyapunov functional. And it is proved that all other solutions converge exponentially to the above ω-periodic solution. An intuitive explain of the above new criterias is given in the final example.
Abstract: The missile interceptors integrated guidance and control technology for achieving the hit-to-kill accuracy against targets performing evasive maneuvers including spiraling motion is developed on the basis of...
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Abstract: The missile interceptors integrated guidance and control technology for achieving the hit-to-kill accuracy against targets performing evasive maneuvers including spiraling motion is developed on the basis of high (second) order sliding mode control (HOSM). The integration of guidance and flight control systems is achieved in a two-loop guidance and flight control system designed in the combined state space of engagement kinematics and vehicle dynamics. The designed guidance-control system performance is verified via computer simulations using miniature hypervelocity kinetic energy endo-atmospheric interceptor planar model.
Summary form only given. Discussion from panellists representing different simulation schools of thought: software engineering, standardised simulation methodologies, simulation software vendors, traditional academic,...
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Summary form only given. Discussion from panellists representing different simulation schools of thought: software engineering, standardised simulation methodologies, simulation software vendors, traditional academic, and a typical simulation consumer/user.
Chinese Remainder Codes are constructed by applying weak block designs and Chinese Remainder Theorem of ring theory. The new type of linear codes take the congruence class in the congruence class ring R/I 1∩I 2∩.....
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Chinese Remainder Codes are constructed by applying weak block designs and Chinese Remainder Theorem of ring theory. The new type of linear codes take the congruence class in the congruence class ring R/I 1∩I 2∩...∩I n for the information bit, embed R/J i into R/I 1∩I 2∩...∩I n, and asssign the cosets of R/J i as the subring of R/I 1∩I 2∩...∩I n and the cosets of R/J i in R/I 1∩I 2∩...∩I n as check lines. There exist many code classes in Chinese Remainder Codes, which have high code rates. Chinese Remainder Codes are the essential generalization of Sun Zi Codes.
A study on the inverse problem of a transversely vibrating membrane of varying material properties has been carried out. Using a finite difference model the eigenvalue equation for the inverse problem of an anisotropi...
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