The relative stability of these modes can be modulated in vitro by changing the salt concentration.
Moreover, the stability analysis of the modes on the plot backbone reveal that they may become unstable due to the interaction with the higher modes or bifurcation of a new NNM with a period equal to the integer multiple of the main mode period.
The stability of the convective modes is studied by using a variational approach and deriving a set of spectral equations by means of a truncated mode interaction.
We investigate the stability of the fibre modes, their stiffness, and their dependence on the problem parameters, focusing on the influence of smoothing.
Results from the theory of almost sure stability (Infante [1]) for stochastic systems are briefly reviewed in order to determine the minimal statistical measures of the chaos which are required to determine the stability of the inactive modes.
Based on the new sliding mode surface, sufficient conditions for the stability of the sliding mode dynamics are derived.
The stability of the sliding mode is proved.
Moreover, the exponential stability of the sliding mode dynamics is analyzed by adopting the average dwell time method.
If (gamma > left( {k_{1} - 0.05k_{2} + 0.002k_{3} + varvec{GD}_{C} } right)left( {d_{m} - hat{d}} right)), then the stability of the sliding mode control can be guaranteed.
Design issues, like connective reachability of the sliding manifold and the stability of the sliding mode equations in the expanded and original state spaces are examined.
