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...
These reduction methods are applied to the specific rational (integer-order) FIR-based approximation to the fractional-order system, which enables to introduce simple, analytical formulae for determination of the cross Gramian of the system. This leads to significant decrease of computational burden ...
fractional-order PD controlThe optimal control of dynamics is a popular topic for small-world networks. In this paper, we address the problem of improving the behavior of Hopf bifurcations in an integer-order model of small-world networks. In this study, the time delay is used as the ...
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...
Compared with the traditional integer-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...
Smith predictor based fractional-order control design for time-delay integer-order systemsBode’s ideal transfer functionFractional-order controllerSmith predictorThe development of fractional-order controller design methods having a few tuning parameters in the time/frequency-domain is an attractive research...
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)." ...
4.1. Integer-order digital filter 4.1.1. First-order system In the case when D(z)=G1 (a constant), we have the (first order) iterative equation (30)ϕk+1=g(ϕk),k=0,1,…, where g(ϕk)=ϕk−K1f(ϕk)+T̄0, K1=ωG=KW, K=ω0G, W=ω0ω and T̄0=2π...
Stanisławski, ed- itors, Advances in Modelling and Control of Non- integer-Order Systems, volume 320 of Lecture Notes in Electrical Engineering, pages 221-228. Springer International ... KJ Latawiec,M Łukaniszyn,R Stanisławski - Springer International Publishing 被引量: 13发表: 2015年...
In this paper, a fractional-order Proportional-Derivative (PD) control policy of variable order is initially designed in solving the problems of Hopf bifurcation and optimal control on the integer-order small-world network. Firstly, the time delay of the network as a key parameter is selected as...