学术报告 Control Bifurcations,Prof. Arthur J. Krener,2004.8.19

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中国科学院数学与系统科学研究院
Title ： Control Bifurcations
Speaker ：Prof. Arthur J. Krener
(University of California, Davis)
Time: 14:30-15:30, August 19, Thursday
Venue: Room 712 Si Yuan Building
Abstract:
A parameterized nonlinear system has a local bifurcation at an equilibrium where there is a change in the topological character of the nearby solution curves. Smooth changes of state coordinates may be used to bring the differential equation into Poincaré normal form. Then, the typical ways that the system can bifurcate are fully understood, e.g., the fold, the transcritical and the Hopf bifurcation. A nonlinear control system has control bifurcation that typically occurs when its linear approximation loses stabilizability. The ways in which this can happen are understood through the appropriate normal forms under quadratic and cubic change of state coordinates and invertible state feedback. In the presentation, we introduce some important control bifurcations, the analogues of the classical fold, transcritical and Hopf bifurcations.
Bio information：
Arthur J. Krener was born in Brooklyn, NY on October 8, 1942. He received the BS degree from Holy Cross College in 1964 and the MA and PhD degrees from the University of California, Berkeley in 1967 and 1971, all in Mathematics. Since 1971 he has been at the University of California, Davis where he is currently Distinguished Professor of Mathematics. He has held visiting positions at Harvard University, the University of Rome, Imperial College of Science and Technology, NASA Ames Research Center, the University of California, Berkeley, the University of Paris IX, the University of Maryland, the University of Newcastle and the University of Padua. His research interests are in developing methods for the control and estimation of nonlinear dynamical systems and stochastic processes. Professor Krener is a Fellow of the IEEE and of the John Simon Guggenheim Foundation and a member of SIAM and AMS. He received the W. T. And Idalia Reid Prize from SIAM in 2004 for his contributions to nonlinear control and estimation. His 1981 IEEE Transactions on Automatic Control paper with Isidori, Gori-Giorgi and Monaco won a Best Paper Award of this journal. His 1977 IEEE Transactions on Automatic Control paper with Robert Hermann was chosen as one of 25 seminal papers in control published in the last century.  
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