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When, the unique minimum point of the function satisfies (3.13).
Since is the minimum point of, we have.
Take as the global maximum point and global minimum point of on, respectively, then (3.28).
Let t ¯ be the global minimum point of x ( t ) on [ 0, T ].
In other words, the minimum point of the ΔΦ − VEFM curve should be located at zero.
We get (g'(0) = -infty), and so x cannot be a minimum point of f.
It follows that x is a global minimum point of (f Ktomathbb{R}).
The optimum pulse width corresponding to the minimum point of is derived that.
Since ω is the minimum point of τ, we get τ ≤ τ ( ω ⊕ T m 2 ).
Then, the flow number at the minimum point of new strain rate versus cycle number was determined.
Finally, we construct the control functions by the minimum point of the functional and get the approximate controllability.
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