In high speed transmission system such as SDH,parallel scrambling technique is re-quired.This paper presents a method of expanding matrix,which makes the traditional ma-trix method capable of realizing parallel scramb...In high speed transmission system such as SDH,parallel scrambling technique is re-quired.This paper presents a method of expanding matrix,which makes the traditional ma-trix method capable of realizing parallel scramblers of any size.A novel method called delayoperator method is also described in this paper.The 8-bit parallel scrambling circuitry ofSDH has been realized with the two methods.展开更多
This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that t...This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.展开更多
文摘In high speed transmission system such as SDH,parallel scrambling technique is re-quired.This paper presents a method of expanding matrix,which makes the traditional ma-trix method capable of realizing parallel scramblers of any size.A novel method called delayoperator method is also described in this paper.The 8-bit parallel scrambling circuitry ofSDH has been realized with the two methods.
基金supported by the National Natural Science Foundation of China(Nos.11171110,11371087)the Science and Technology Commission of Shanghai Municipality(No.13dz2260400)the Shanghai Leading Academic Discipline Project(No.B407)
文摘This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.
