In this paper, we also establish the [L.sup.p] boundedness
Subjects such as existence and uniqueness of solutions, stability, Floquet theory, periodicity, stability, and boundedness
of solutions can be studied more precisely and generally by utilizing dynamical systems on time scales.
Here we use the boundedness
of sinc and the bounds for e(t) from (6.3).
For this end, we start with the existence, the positivity, and boundedness
of solutions, which implies that our model is well posed.
There were also some results about boundedness
and convergence on fractional order systems have been published in .
There exist many works on the stability, boundedness
, asymptotically stability, exponentially stability and unstable.
However, these works cannot prove the boundedness
of the tracking errors, which implies that the stability of the closed-loop system cannot be analyzed quantifiably.
In this section, the stability of switched system (1) and the boundedness
of all the signals in the closed-loop system are proved under arbitrary switching signals.
Of course, we should also realize the boundedness
of Islamic finance.
They cover statements of the main results, kernels, adjoints, outline of the proof of boundedness
, some auxiliary operators, basic L2 estimates, some results from Calder n-Zygmund theory, almost orthogonality, the boundedness
of multilinear singular forms, and interpretation.
In , an adaptive fuzzy backstepping is studied to guarantee the semiglobal congruent eventually boundedness
of the close-loop system.
The main technique in the theory of stability and boundedness
of Volterra difference equations is the direct Lyapunov method and its variants.