Vidyasagar, M. (1971) A characterization of eAt and a constructive proof of the controllability criterion IEEE Transactions on Automatic Control, 16 (4). pp. 370-371. ISSN 0018-9286
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Official URL: http://ieeexplore.ieee.org/search/freesrchabstract...
Related URL: http://dx.doi.org/10.1109/TAC.1971.1099751
Abstract
differential equation characterizing the functionsalpha_{i}(t), which arise when eAtis expressed asalpha_{0}(t)I + ... + alpha_{n-1}(t) A^{n-1}, is derived. It is shown that the set of functions{alpha_{i}(t)}is linearly independent over any nonzero interval. Using this fact, a constructive proof is given for the well-known criterion for a linear time-invariant system to be controllable, namely, rank[B|AB| ... |A^{n-1}B] = n.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to IEEE. |
| ID Code: | 56127 |
| Deposited On: | 22 Aug 2011 12:29 |
| Last Modified: | 22 Aug 2011 12:29 |
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