1)integer order整数阶次 2)non-integer order非整数阶次 3)fractional integration order分整阶数 4)negative integer index number负整数阶 1.The fixed points and fractal in the discrete dynamic system with variable parame-ter fornegative integer index numberwere studied with computer visualization technique...
First given a set of interpolation frequencies and the corresponding values of the original noninteger-order transfer function, a Loewner matrix and a shifted Loewner matrix are created. Then, from these matrices an integer-order model in state-space descriptor form is constructed. Its transfer ...
(1) A fractional-order PD controller with variable order is used to interfere with the dynamics of an integer-order small-world network model, and the variable order of the fractional derivative is taken proportionally as 1n1n in the control process. (2) The order of the PD controller dif...
For example, even though the integer-order derivative of a periodic function is obviously a periodic function of the same period, the fractionalorder derivative of a non-constant periodic function cannot be a periodic function of the same period. As a consequence, periodic solutions do not exist...
THE MUTUAL TRANSFORMATIONS OF FRACTIONAL –ORDER AND INTEGER-ORDER OPTICAL VORTICES C.N. Alexeyev, Yu.A. Egorov, A.V. Volyar V.I. Vernadsky Crimean Federal University, Vernadsky Prospekt, 4, Simferopol, 295007, Crimea, Russia We consider the problem of singular beams in optics as a part ...
The Taylor-series expansion that we use for small |z| suffers from severe cancellation error close to integer orders: julia> expint(2, 1.3) 0.0964455478301422 julia> expint(2 + 1e-15, 1.3) 4.75 The issue is that there is a term in the Ta...
According to news originating from Guizhou University of Finance and Economics by NewsRx correspondents, research stated, "In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case)." ...
Design of Low-Delay Integer-Order FIR Digital Differentiator Based on Maximally Flat in The Passband and Equiripple Criteria in The Stopband In this paper, we propose a method for designing a low-delay integer-order differentiators based on maximally flat in the passband and equiripple criteria .....
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach ...
Compared with the traditionalinteger-order PID controller,the fractional-order PID controller has two more adjustable parameters,so the latter can be designed flexibly and its control performance is better. 分数阶PID控制器较传统整数阶PID控制器增加了2个可调参数,使得其控制器的设计更加灵活,控制性能更加优...