In this paper, we demonstrate that for a special class of Lyapunov stable nonlinear systems, namely neutrally stable systems, the exponential observer design problem can be solved by converting it into an output regulation problem and then solving the new problem using the output regulation techniques of Isidori and Byrnes [1].
When the wave speeds are the same, the indirect damping is actually strong enough to induce exponential stability for the Timoshenko system, but when the wave speeds are different, the Timoshenko system loses the exponential stability.
Because, if a problem is in fact endemic to a system, then the exponential effects of Moore's law also serve to amplify what's broken.
By constructing a new Lyapunov Krasovskii functional and designing a switching law, some criteria are proposed for guaranteeing exponential stability for a given system, while the exponential decay estimation is explicitly developed for the states.
The general Erlang distribution is considered for modeling the sojourn time in each of the hidden states, which is closer to the actual deterioration process modeling of the gear shaft system than the exponential sojourn time distribution assumed in a hidden Markov model (HMM).
Assume that the users arrive as a Poisson process with parameter, and their active times in the system follow the exponential distribution with mean 10 seconds.
And if we don't reform the system, given the exponential worsening of things between 2003 and now, the next financial collapse will surely be more than we can withstand.
One difficulty in the handling of high-dimensional problems by fuzzy rule-based systems is the exponential increase in the number of fuzzy rules with the number of input variables.
On the other hand, the global exponential stability of pseudo-almost periodic solutions plays a key role in characterizing the dynamical behavior of biological and ecological dynamical systems since the exponential convergence rate can be unveiled [12 20].
The publication of Tools and Resources articles reflects the increasing sophistication of the experimental equipment and approaches used to probe biological systems, and the exponential growth in the volume of data generated by new methods, reagents and technology.
