Shunting inhibitory cellular neural networks: derivation and stability analysis

Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays

“…Shunting inhibitory cellular neural networks (SICNNs), which introduced by Bouzerdoum and Pinter (1993), have been studied and developed extensively in the past few decades by many authors due to their extensive applications in psychophysics, speech, perception, robotics, adaptive pattern recognition, vision, image processing and many other fields. We refer the reader to Bouzerdoum and Pinter (1993), Chen and Cao (2002), Chen and Zhao (2008), Chérif (2012), Ding and Ye (2009), Fan and Shao (2010), Liu et al (2007Liu et al ( , 2006, Ou (2009), Shao et al (2009) and Wu (2011). Consider a two-dimensional grid of processing cells, let C ij denote the cell at the (i, j) position of the lattice, the r-neighborhood N r ði; jÞ of C ij is given as N r ði; jÞ ¼ fC kl : maxðj k À i j; j l À j jÞ r; 1 k m; 1 l ng:…”

Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

“…Since the work of Biouzerdoum and Pinter [1][2][3], shunting inhibitory cellular neural networks have been extensively applied in various fields such as psychophysics, speech, robotics, perception, adaptive pattern recognition, vision, image processing and so on. It is well known that the unique globally stable equilibrium plays an important role in solving some optimization problems.…”

Existence and Exponential Stability of Almost Periodic Solution for Shunting Inhibitory Cellular Neural Networks With Distributed Delays and Large Impulses

“…It is known that time delays are inevitable in the interactions between neurons. Bouzerdout and Pinter [2] have introduced a new class of CNNs, namely the shunting inhibitory CNNs (SICNNs). SICNNs have been extensively applied in psychophysics, speech, perception, robotic, adaptive pattern recognition, vision, and image processing.…”