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The fuel-optimal impulsive solution is utilized to divide the low-thrust trajectory into thrust and coast arcs.
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The properness of the full feedback behavior ensures the absence of impulsive solutions in the continuous case, and that of the compensator enables its realization by Kalman state space equations or elementary building blocks.
There are many nonlinear hybrid impulsive models whose solution cannot be computed analytically as in logistic equation with variable coefficients.
In Figure 13, we show the effects of different values of τ on the finite impulsive effects of solutions.
Thousands or millions of trials may be necessary to yield a candidate configuration, based on very simplified performance assessment (e.g., analytical solutions, impulsive velocities, response surface models etc).
Wang and Li [19] made further efforts on attracting and quasi-invariant sets of the mild solution of impulsive NSFDEs with infinite delays by establishing impulsive integral inequalities.
However, to the best of our knowledge, the study of solutions (in particular the multiplicity of solutions) for impulsive boundary value problems on the half-line using a variational method has received considerably less attention.
For the first-order impulsive differential equations, the solution is determined by initial value.
Let (xin C^{3}[overline{J},mathbb{E}]) is a solution of impulsive integral equation (2.1).
Here, we derive new existence results of a mild solution of impulsive hybrid fractional differential equations.
if and only if is a solution of impulsive integrodifferential equations: (i), , (ii) (3.2) .
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