Abstract
Linear system realization problems require the construction of a linear system realization, or a quadruple of real matrices F, G, H, J, of a given real rational W(s), so that W(s) = J + H’(sI — F)–1 G. When W(s) has certain properties, corresponding to symmetry, passivity, or losslessness, it is possible to select a realization that closely (but not necessarily exactly) reflects these properties. We review such possibilities, then consider a new one, initially for discrete time systems: if the impulse response associated with W is nonnegative, can the entries of the realizing matrices be chosen to be nonnegative also? Necessary and barely differing sufficient conditions are presented for this to be the case.
| Original language | English |
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| Title of host publication | Communications, Computation, Control and Signal Processing |
| Subtitle of host publication | a tribute to Thomas Kailath |
| Editors | Arogyaswami Paulraj, Vwani Roychowdhary, Charles D. Schaper |
| Place of Publication | Boston, MA |
| Publisher | Springer |
| Chapter | 18 |
| Pages | 333-341 |
| ISBN (Electronic) | 978-1-4615-6281-8 |
| ISBN (Print) | 978-0-7923-9815-8, 978-1-4613-7883-9 |
| DOIs | |
| Publication status | Published - 1997 |