In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary c...In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary column operations on matrices over the quaternion field.展开更多
In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered...In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.展开更多
This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1...This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1</sup>(R<sup>n</sup>). First, we study the existence and uniqueness of solutions by a noise arising in a continuous random dynamical system and the asymptotic compactness is established by using uniform tail estimate technique, and then the existence of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity. As a motivation of our results, we prove an existence and upper semi-continuity of random attractors with respect to the nonlinearity that enters the system together with the noise.展开更多
Neural interfaces based on surface Electromyography(EMG)decomposition have been widely used in upper limb prosthetic systems.In the current EMG decomposition framework,most Blind Source Separation(BSS)algorithms requi...Neural interfaces based on surface Electromyography(EMG)decomposition have been widely used in upper limb prosthetic systems.In the current EMG decomposition framework,most Blind Source Separation(BSS)algorithms require EMG with a large number of channels(generally larger than 64)as input,while users of prosthetic limbs can generally only provide less skin surface for electrode placement than healthy people.We performed decomposition tests to demonstrate the performance of the new framework with the simulated EMG signal.The results show that the new framework identified more Motor Units(MUs)compared to the control group and it is suitable for decomposing EMG signals with low channel numbers.In order to verify the application value of the new framework in the upper limb prosthesis system,we tested its performance in decomposing experimental EMG signals in force fitting experiments as well as pattern recognition experiments.The average Pearson coefficient between the fitted finger forces and the ground truth forces is 0.9079 and the average accuracy of gesture classification is 95.11%.The results show that the decomposition results obtained by the new framework can be used in the control of the upper limb prosthesis while only requiring EMG signals with fewer channels.展开更多
文摘In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary column operations on matrices over the quaternion field.
基金Project supported by National Natural Science Foundation of China （Grant No. 10571130）
文摘In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.
文摘This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1</sup>(R<sup>n</sup>). First, we study the existence and uniqueness of solutions by a noise arising in a continuous random dynamical system and the asymptotic compactness is established by using uniform tail estimate technique, and then the existence of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity. As a motivation of our results, we prove an existence and upper semi-continuity of random attractors with respect to the nonlinearity that enters the system together with the noise.
基金This study was funded by the National Natural Science Foundation of China(Grant NO.91948302,U1813209,NO.51875120).
文摘Neural interfaces based on surface Electromyography(EMG)decomposition have been widely used in upper limb prosthetic systems.In the current EMG decomposition framework,most Blind Source Separation(BSS)algorithms require EMG with a large number of channels(generally larger than 64)as input,while users of prosthetic limbs can generally only provide less skin surface for electrode placement than healthy people.We performed decomposition tests to demonstrate the performance of the new framework with the simulated EMG signal.The results show that the new framework identified more Motor Units(MUs)compared to the control group and it is suitable for decomposing EMG signals with low channel numbers.In order to verify the application value of the new framework in the upper limb prosthesis system,we tested its performance in decomposing experimental EMG signals in force fitting experiments as well as pattern recognition experiments.The average Pearson coefficient between the fitted finger forces and the ground truth forces is 0.9079 and the average accuracy of gesture classification is 95.11%.The results show that the decomposition results obtained by the new framework can be used in the control of the upper limb prosthesis while only requiring EMG signals with fewer channels.
