All Outputs (63)

A counter-example to “Positive realness preserving model reduction with H-\infty norm error bounds” (2011)
Journal Article
Guiver, C., & Opmeer, M. R. (2011). A counter-example to “Positive realness preserving model reduction with H-\infty norm error bounds”. IEEE Transactions on Circuits and Systems I: Regular Papers, 58(6), 1410-1411. https://doi.org/10.1109/tcsi.2010.2097750

We provide a counter example to the H∞ error bound for the difference of a positive real transfer function and its positive real balanced truncation stated in “Positive realness preserving model reduction with H-\infty norm error bounds” IEEE Trans.... Read More about A counter-example to “Positive realness preserving model reduction with H-\infty norm error bounds”.

Non-dissipative boundary feedback for elastic beams (2010)
Presentation / Conference Contribution
Guiver, C., & Opmeer, M. R. (2010, July). Non-dissipative boundary feedback for elastic beams. Presented at 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary

We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an Euler-Bernoulli beam makes a Rayleigh beam and a Timoshenkobeam unstable.

Non-dissipative boundary feedback for Rayleigh and Timoshenko beams (2010)
Journal Article
Guiver, C., & Opmeer, M. R. (2010). Non-dissipative boundary feedback for Rayleigh and Timoshenko beams. Systems and Control Letters, 59(9), 578-586. https://doi.org/10.1016/j.sysconle.2010.07.002

We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an EulerBernoulli beam makes a Rayleigh beam and a Timoshenko beam unstable.