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For the above cases, we know that the asymptotical stability of the synchronization error systems is mainly decided by the above feedback gain matrices (Q_{1}), (Q_{2}), (L_{1}), and (L_{2}).
Specially, to simplify calculations, the above feedback gain matrices (Q_{1}), (Q_{2}), (L_{1}), and (L_{2}) can be chosen such that their corresponding matrices (P_{1}), (P_{2}), (T_{1}), and (T_{2} ) are diagonally positive definite.
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However, the coarse resolution and representation of vegetation diversity of such global models means that most of the above feedbacks will be only partially represented, and we will have to rely on more detailed vegetation modelling (e.g. Pappas et al. 2015 a, b ).
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Based on the above limited feedback method, we develop an area-classified coordinated beamforming scheme summarized as Algorithm 1. Algorithm 1 Area-classified coordinated beamforming algorithm.
When the state variables are not available, an observer is built using a similar technique which generates an estimation of the state variables in order to implement the above state feedback.
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