Existence of periodic solutions and stability of fractional order dynamic systems are two important and difficult issues in fractional order systems(FOS) field. In this paper, the relationship between integer order sy...Existence of periodic solutions and stability of fractional order dynamic systems are two important and difficult issues in fractional order systems(FOS) field. In this paper, the relationship between integer order systems(IOS) and fractional order systems is discussed. A new proof method based on the above involved relationship for the non existence of periodic solutions of rational fractional order linear time invariant systems is derived. Rational fractional order linear time invariant autonomous system is proved to be equivalent to an integer order linear time invariant non-autonomous system. It is further proved that stability of a fractional order linear time invariant autonomous system is equivalent to the stability of another corresponding integer order linear time invariant autonomous system. The examples and state figures are given to illustrate the effects of conclusion derived.展开更多
卫星干扰源定位技术的关键之一是定位参数的测量。目前传统的定位时延估计算法无法满足在低信噪比环境下的到达时间差(time difference of arrival,TDOA)参数估计。为了进一步提高定位性能,提出了基于四阶累积量的最小均方误差算法(leas...卫星干扰源定位技术的关键之一是定位参数的测量。目前传统的定位时延估计算法无法满足在低信噪比环境下的到达时间差(time difference of arrival,TDOA)参数估计。为了进一步提高定位性能,提出了基于四阶累积量的最小均方误差算法(least mean square algorithm based on fourth-order cumulant,CUM-LMS),在使用四阶累积量进行时延估计的基础上,提取峰值信息,计算均方误差,得到准确的TDOA参数。实验结果表明,所提出的算法有效地提高了时延参数估计的性能。展开更多
文摘Existence of periodic solutions and stability of fractional order dynamic systems are two important and difficult issues in fractional order systems(FOS) field. In this paper, the relationship between integer order systems(IOS) and fractional order systems is discussed. A new proof method based on the above involved relationship for the non existence of periodic solutions of rational fractional order linear time invariant systems is derived. Rational fractional order linear time invariant autonomous system is proved to be equivalent to an integer order linear time invariant non-autonomous system. It is further proved that stability of a fractional order linear time invariant autonomous system is equivalent to the stability of another corresponding integer order linear time invariant autonomous system. The examples and state figures are given to illustrate the effects of conclusion derived.
文摘卫星干扰源定位技术的关键之一是定位参数的测量。目前传统的定位时延估计算法无法满足在低信噪比环境下的到达时间差(time difference of arrival,TDOA)参数估计。为了进一步提高定位性能,提出了基于四阶累积量的最小均方误差算法(least mean square algorithm based on fourth-order cumulant,CUM-LMS),在使用四阶累积量进行时延估计的基础上,提取峰值信息,计算均方误差,得到准确的TDOA参数。实验结果表明,所提出的算法有效地提高了时延参数估计的性能。
