论文信息 - Simulational analysis of non-integer order system behaviour under relay control

Simulational analysis of non-integer order system behaviour under relay control

In this paper, the authors wanted to analyse the behaviour of fractional order system under relay control. There is a brief introduction to finding a solution for non-integer order systems both with zero and non-zero initial conditions. Then, the numerical approach is presented with some examples.

[1] Yangquan Chen,et al. Matrix approach to discrete fractional calculus II: Partial fractional differential equations , 2008, J. Comput. Phys..

[2] E. Hairer,et al. Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .

[3] Piotr Bania,et al. Laguerre Polynomial Approximation of Fractional Order Linear Systems , 2013, RRNR.

[4] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .

[5] Jerzy Baranowski,et al. INVESTIGATION OF FIXED-POINT COMPUTATION INFLUENCE ON NUMERICAL SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS , 2011 .

[6] Tadeusz Kaczorek,et al. Selected Problems of Fractional Systems Theory , 2011 .

[7] I. Podlubny. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[8] F. Krogh,et al. Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.

[9] E. Hairer,et al. Solving Ordinary Differential Equations II , 2010 .