Spiking statistics of a self-inhibitory neuron is considered. The neuron receives excitatory input from a Poisson stream and inhibitory impulses through a feedback line with a delay. After triggering, the neuron is in the refractory state for a positive period of time. Recently, [35,6], it was proven for a neuron with delayed feedback and without the refractory state, that the output stream of ...

This paper is concerned with the H∞ state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H∞ state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain perfo...

Robust stabilization of a class of imperfectly known systems with time-varying time-delays via output feedback is investigated. The systems addressed are composed of a nonlinear nominal system influenced by nonlinear perturbations which may be time-, state, delayed state, and/or input-dependent. The output of the system is modelled by a nonlinear function, which may depend on the delayed states...

This paper focuses on the synthesis problem of delayand its time derivative dependent robust and reliable stabilization for linear time-delay systems with norm-bounded parameter uncertainty in the state and delayed-state matrices and also with actuator failures among a pre-specified subset of actuators. An LMI (Linear Matrix Inequality) method is given for the delay and its time-derivative depe...