Exact(1)
A verification on the global significance of this model is as well carried out and the results obtained show that the model is globally suitable; the critical value of our F-statistics is significantly greater than that in the table of t- statistics thus indicating that globally our model is good.
Similar(59)
It is shown that the resulting fuzzy adaptive control system is globally stable based on a suitable piecewise differentiable Lyapunov function.
Then x ∗ is globally stable.
We show that the proposed algorithm is globally and locally superlinearly convergent under suitable assumptions.
The controlled system (3.3) with the feedback gain (K= Z Y^{-1}) is globally asymptotically stable if there are suitable matrices Y and Z such that the following LMI condition holds: left ( begin{matrix} AY+ YA^{T} -Z- Z^{T} -2 varepsilon Y & I + varepsilon r Y I + varepsilon r Y & -r I end{matrix} right ) < 0, (3.4) where (Y = P^{-1} >0), (varepsilon>0), (r>0), and I is the identity matrix.
The algorithm is globally convergent and locally superlinearly convergent under suitable conditions.
Further, by constructing the suitable Lyapunov function, we show that the system (1.3) is globally attractive under some appropriate conditions.
Moreover, under some suitable conditions, we show that the solution of the system is globally attractive.
By constructing a suitable Lyapunov function, we obtain that the positive almost periodic solution is globally attractive.
In this section, we will construct some suitable Lyapunov functions to derive the sufficient conditions which ensure that the equilibrium of (1.1) is globally exponentially stable.
f is globally bounded.
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