Concerning the Stepanov asymptotical
almost periodicity and (equi-) Weyl asymptotical
almost periodicity, some extra conditions on the vanishing part of function f(x) must be imposed if we want that the solution [u.sub.x](x) defined above belongs to the same class of functions as f(x).
By utilizing the multiple Lyapunov functional approach, necessary and sufficient condition for asymptotical
stability of corresponding closed-loop system with a prescribed H [?] disturbance attenuation level Y is proposed.
, and an asymptotical
solution was also obtained when the effect of the inertia of the moving mass was small.
Hill, "Global asymptotical
synchronization of chaotic Lure systems using sampled data: a linear matrix inequality approach," IEEE Transactions on Circuits and Systems II: Express Briefs, vol.
In other words, they cannot satisfy asymptotical
stability condition for stochastic chaotic systems in mean-square sense.
convergence of the proposed bi-iterative estimation method is analyzed.
Li, "Global asymptotical
stability of recurrent neural networks with multiple discrete delays and distributed delays," IEEE Transactions on Neural Networks, vol.
Errors appear at range around 90[degrees] since PMM is an asymptotical
method which considers that the currents on each element are same.
We first establish the condition of asymptotical
stability for the filtering error systems (7)-(8).
stability (Sun & Peng, 2009; Sun & Chen, 2004) and stabilization (Yang & Zhang, 2004; Sun & Chen, 2011) of discrete linear singular large-scale systems has been considered by Lyapunov function method.
With the globally asymptotical
stability being formally proven, the study by Wang and Yang also illustrates the yield curve inversion in a graph that provides a visual version for one to see easily why and how the yield curve may be inverted under an adverse shock but before the subsequent recession eventually arises.