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Construction of Periodic Counterexamples to the Discrete-Time Kalman Conjecture
- Publication Year :
- 2020
-
Abstract
- This paper considers the Lurye system of a discrete-time, linear time-invariant plant in negative feedback with a nonlinearity. Both monotone and slope-restricted nonlinearities are considered. The main result is a procedure to construct destabilizing nonlinearities for the Lurye system. If the plant satisfies a certain phase condition then a monotone nonlinearity can be constructed so that the Lurye system has a non-trivial periodic cycle. Several examples are provided to demonstrate the construction. This represents a contribution for absolute stability analysis since the constructed nonlinearity provides a less conservative upper bound than existing bounds in the literature.<br />Comment: 6 pages, 8 figures, submitted to IEEE CSL
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2009.02468
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1109/LCSYS.2020.3033443