2000 MSC: 92B20 34C23 37C27 93C80 Keywords: Recurrent neural networks Distributed delays Hopf bifurcation Frequency domain Generalized Nyquist stability criterion a b s t r a c t In this paper, a class of recurrent neural networks with distributed delays and a strong kernel is studied. It is shown that the Hopf bifurcation occurs as the bifurcation parameter, the mean delay, passes a critical v...

Input and output time delays in continuous-time (CT) dynamic systems impact such systems differently as their effects are encountered before and after the state dynamics. Given a fixed sampling time, input and output signals in multiple-input multiple-output (MIMO) systems may exhibit any combination of the following four cases: no delays, integer-multiple delays, fractional delays and integer-...

a second-order leader-following consensus algorithm in multi-agent systems with directed network topologies and heterogeneous input delays, which generalized the previous work [1] from the case of symmetric coupling weights to that of asymmetric coupling weights. Some sufficient conditions for reaching second-order consensus in a leader-following context were derived by utilizing the Gershgorin...

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy LYAPUNOV-BASED CONTROL OF SATURATED AND TIME-DELAYED NONLINEAR SYSTEMS By Nicholas Fischer December 2012 Chair: Warren E. Dixon Major: Mechanical Engineering Time delays and actuator saturation are two phenomena which affect the performa...

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