Almost local stability in discrete delayed chaotic systems

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

“…Although chaos in dynamic systems has been investigated for many years [1][2][3][4], new systems with chaos still attract the attention of numerous researches [5][6][7][8][9][10][11]. Finding new chaotic systems and investigating chaos control and chaos synchronization methodologies are attractive topics [12][13][14][15] due to the applications of chaos in various areas such as waveforms of chaotic radar [16], image encryption [17], secure image transmission [18], video encryption design [19], and S-box construction [20].…”

Stabilization of chaotic systems via act-and-wait delayed feedback control using a high-precision direct integration method

“…Based on this fact, Ott et al [11] proposed the first strategy to stabilize UPOs utilizing the sensitivity to initial conditions. From then on, chaos control has received a great deal of interests among the researchers, and a variety of chaotic systems have been proven to be able to be stabilized by several different techniques such as delayed feedback control(DFC) [12][13][14][15][16][17][18][19], prediction-based control [20][21][22], robust control [23,24], slide mode control [25][26][27], adaptive control [28][29][30], energy-based feedback control [31].…”

Iterative learning control for switched singular time-delay systems

“…The existence of time delay quite often degrades the performance of the control system, or even destabilizes the whole system. In recent literature, many significant results on the analysis of and control design approaches to delay systems have been reported (Mobayen, 2014, 2015a,b; Majd and Mobayen, 2015; Jajarmi et al., 2016; Mobayen and Tchier, 2016; Nategh et al., 2017). Meanwhile, the ILC for delay systems has been the focus of many researchers (Chen et al., 1998; Sun and Wang, 2001a; Li et al., 2008; Meng et al., 2009; Shen et al., 2011).…”