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Some new results on the controllable abundance of linear discrete systems
1. Computing method of the finite-time controllable abundance $$ $(r_{T},v_{c,T})$ for the linear discrete systems with any dimensions
2. Recursive computing method of the finite-time controllable abundance $$ $(r_{T},v_{c,T})$ for the linear discrete systems with any dimensions;
3. Computing method of the infinite-time controllable abundance $(r_{\infty},v_{c,\infty})$ for the linear discrete systems with $n$ distict and real eigenvalues
4. Computing method of the controllable abundance $$ $(r_{T},v_{c,T})$ for the 2- or 3-dimensions linear discrete systems with a pair of complex eigenvalues, include the finite-time and the infinite-time cases.
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