Abstract
We consider local observability of discrete-time polynomial systems. When testing local observability of nonlinear systems, the observability rank condition is commonly used. However, the rank condition is only a sufficient condition in general. For this problem, recently, in terms of commutative algebra and algebraic geometry, a necessary condition for local observability of the polynomial systems has been derived. In this paper, we show the necessary condition is a sufficient condition for local observability for almost all initial states. Based on this result, we derive a necessary and sufficient condition for local observability.
| Original language | English |
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| Title of host publication | 2013 European Control Conference, ECC 2013 |
| Pages | 1722-1727 |
| Number of pages | 6 |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | 2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland Duration: 17-Jul-2013 → 19-Jul-2013 |
Conference
| Conference | 2013 12th European Control Conference, ECC 2013 |
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| Country/Territory | Switzerland |
| City | Zurich |
| Period | 17/07/2013 → 19/07/2013 |