2010
DOI: 10.1016/j.nonrwa.2009.03.029
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Controlling chaos in space-clamped FitzHugh–Nagumo neuron by adaptive passive method

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Cited by 38 publications
(26 citation statements)
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“…In Yu et al (2012) robust control system combining backstepping and sliding mode control techniques is used to realize the synchronization of two gap junction coupled chaotic FitzHugh-Nagumo neurons under external electrical stimulation. In Wei et al (2010) a Lyapunov function-based control law is introduced, which transforms the FitzHugh-Nagumo neurons into an equivalent passive system. It is proved that the equivalent system can be asymptotically stabilized at any desired fixed state, which means that, synchronization can be succeeded.…”
Section: Introductionmentioning
confidence: 99%
“…In Yu et al (2012) robust control system combining backstepping and sliding mode control techniques is used to realize the synchronization of two gap junction coupled chaotic FitzHugh-Nagumo neurons under external electrical stimulation. In Wei et al (2010) a Lyapunov function-based control law is introduced, which transforms the FitzHugh-Nagumo neurons into an equivalent passive system. It is proved that the equivalent system can be asymptotically stabilized at any desired fixed state, which means that, synchronization can be succeeded.…”
Section: Introductionmentioning
confidence: 99%
“…For this reason, designing simple and available control input is extremely relevant for experimental chaos control. Besides the OGY method, many other control algorithms have been proposed in recent years to control chaotic systems, such as PC method [9][10][11], feedback approach [12,13], adaptive control [14][15][16], linear state space feedback [17], backstepping method [18], nonlinear feedback control [19], sliding mode control [20,21], neural network control [22], fuzzy logic control [23], robust control [24][25][26][27][28][29][30], passivity theory control [31], adaptive passive control [32], time-delay feedback approach [33,34], multiple delay feedback control [35], double delayed feedback control [36], hybrid control [37], etc. These control algorithms can be used to stabilize a desired unstable periodic orbit (UPO) embedded within a chaotic attractor.…”
Section: Introductionmentioning
confidence: 99%
“…The tracking problem is usually divided into two sub-problems: state tracking and output tracking, which deal with the stabilization of the system outputs or states to any reference output or desired state (especially at an equilibrium point) [1][2][3][4]. The stabilization problem has been extensively studied for both linear and nonlinear systems due to its relative simplicity.…”
Section: Introductionmentioning
confidence: 99%