Title: Compensation of Long Input Delays for Unstable Nonlinear and PDE
Systems

 Abstract: Input delays create challenges in stabilization problems such as,
for example, combustion instabilities. I will present new designs for global
stabilization of broad classes of nonlinear systems with long input delays.
I will also introduce problems where the length of the input delay is highly
uncertain, or even completely unknown, and present adaptive control designs
for stabilization in the presence of this and other parametric
uncertainties. In addition to input delays, I will discuss other
infinite-dimensional input dynamics, such as those that combine convective
and diffusive phenomena. Finally, I will show designs for PDEs with long
input delays, such as unstable reaction-diffusion equations and anti-stable
wave equations.

 Bio: Miroslav Krstic is a Sorenson Distinguished Professor and Director of
the Center for Control Systems and Dynamics at UC San Diego. He is a Fellow
of IEEE and IFAC and a co-author of eight books: Nonlinear and Adaptive
Control Design (1995), Stabilization of Uncertain Nonlinear Systems (1998),
Flow Control by Feedback (2002), Real-Time Optimization by Extremum Seeking
Control (2003), Control of Turbulent and Magnetohydrodynamic Channel Flows
(2007), Boundary Control of PDEs (2008), Adaptive Control of Parabolic PDEs
(2009), and Delay Compensation for Nonlinear and PDE Systems (2009).