Boundary Stabilization of Polynomial Reaction Diffusion Equations

Lecture / Panel
For NYU Community



Arthur J. Krener


"Boundary Stabilization of Polynomial Reaction Diffusion Equations"


We show how to stabilize a polynomial reaction diffusion system using boundary control, integration by parts, completing the square and an infinite dimensional extension of Al'brekht's method.

About the Speaker

Arthur J. Krener is a mathematician whose research interests are in developing methods for the control and estimation of nonlinear dynamical systems and stochastic processes. In 1971 he received the PhD in Mathematics from the University of California, Berkeley and joined the faculty of the University of California, Davis. He retired from UCD in 2006 as a Distinguished Professor of Mathematics and he currently is a Distinguished Research Professor of Applied Mathematics at the Naval Postgraduate School in Monterey, CA. He has held visiting positions at Harvard University, Imperial College, NASA Ames Research Center, the University of California, Berkeley, the University of Paris, the University of Maryland, the University of Padua and North Carolina State University.

He is a Fellow of the American Mathematical Society (AMS), a Fellow of the Society for Industrial and Applied Mathematics (SIAM), a Life Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and a Fellow of the International Federation for Automatic Control (IFAC). He was the founding Chair of the SIAM Activity Group on Control and Systems Theory. He has authored or coauthored over 150 scientific papers and has given numerous invited addresses at professional meetings. He has organized several major conferences including the SIAM Conferences on Control and its Applications in 1989 and 2007 both in San Francisco and the IFAC NOLCOS at Lake Tahoe in 1996 and again in Monterey in 2016.

Krener has received numerous honors and awards during his career. These include a John Simon Guggenheim Fellowship in 2002, a Statistical and Applied Mathematical Sciences Institute University Fellow in 2004, the W. T. and Idalia Reid Prize from SIAM “for fundamental contributions to the control and estimation of nonlinear dynamical systems and stochastic processes” in 2004, the IEEE Control System Society Bode Prize Lecture in 2006, the Certificate of Excellent Achievements from the IFAC Technical Committee on Nonlinear Control in 2010, the American Automatic Control Council Richard E. Bellman Control Heritage Award in 2012 and the IEEE Field Award in Control in 2016