This paper investigates the issue of the internal stability of nonlinear delay systems controlled with a feedback law that performs exact input–output, linearization and delay cancellation. In previous works the authors showed that, unlike with the case of systems without state delays, when the relative degree is equal to the number of state variables and the output is forced to be identically ...

The delays in sensorimotor pathways pose a formidable challenge to the implementation of stable error feedback control, and yet the intact brain has little trouble maintaining limb stability. How is this achieved? One idea is that feedback control depends not only on delayed proprioceptive feedback but also on internal models of limb dynamics. In theory, an internal model allows the brain to pr...

In this paper a simplified ARMAX-type (Autoregressive Moving Average model with eXternal input) adaptive control of a polymerization process approximately in its quasi-stationary limit is presented. This process serves as an appropriate paradigm of multivariable dynamic systems of strong non-linear coupling in the control of which the state propagation of various internal degrees of freedom can...

Based on a reduced two-compartment model, the dynamical and biophysical mechanism underlying the spike initiation of the neuron to extracellular electric fields is investigated in this paper. With stability and phase plane analysis, we first investigate in detail the dynamical properties of neuronal spike initiation induced by geometric parameter and internal coupling conductance. The geometric...

We have used time-resolved phosphorescence anisotropy (TPA) to probe rotational dynamics of the rabbit skeletal sarcoplasmic reticulum Ca-ATPase (SERCA), to test the hypothesis, generated from X-ray crystallography, that large-scale structural changes are induced by Ca in this system. Previous TPA studies on SERCA used primarily erythrosin 5'-isothiocyanate (ErITC), which binds to the nucleotid...

In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...