Campuses:

control

Thursday, September 7, 2017 - 3:30pm - 4:05pm
Yannick Privat (Université de Paris VI (Pierre et Marie Curie))
We investigate the problem of optimizing the shape and location of actuators or sensors for evolution systems driven by a partial differential equation, like for instance a wave equation, a Schrödinger equation, or a parabolic system, on an arbitrary domain Omega, in arbitrary dimension, with boundary conditions if there is a boundary, which can be of Dirichlet, Neumann, mixed or Robin. This kind of problem is frequently encountered in applications where one aims, for instance, at maximizing the quality of reconstruction of the solution, using only a partial observation.
Wednesday, May 11, 2016 - 11:15am - 12:00pm
Victor Zavala (University of Wisconsin, Madison)
Energy networks are becoming increasingly decentralized and exhibit new forms of coupling. For instance, during the polar vortex of 2014, sustained low temperatures in the Midwest region of the U.S. resulted in unusually high gas demands from buildings in urban areas. This led to shortages of natural gas that propagated to California, Massachusetts, and Texas. The gas shortages forced power plant shutdowns totaling 35 GW. At a value of lost load of 5,000 USD/MWh, such shortages represent economic losses of 175 million USD per hour.
Monday, April 11, 2016 - 2:00pm - 3:00pm
Anthony Bloch (University of Michigan)
In this talk we discuss aspects of the physics and mathematics of a quantum
control system interacting with its environment. In particular we discuss the control of an finite-dimensional Lindblad system by considering the geometry of its orbit and interorbit dynamics. This entails considering the geometry of flag manifolds, the structure of the Lindblad operator, and the convexity associated with the density equation. Applications are given to constructing pure states. This includes recent work with Rooney and Rangan.
Thursday, November 12, 2015 - 11:00am - 12:00pm
Sergei Avdonin (University of Alaska)
We consider control and inverse problems on metric graphs for several
types of PDEs including
the wave, heat and Schr\odinger equations. We demonstrate that, for
graphs without cycles,
unknown coefficients of the equations together with the topology of the
graph and lengths of the edges
can be recovered from the dynamical Dirichlet-to-Neumann map associated
to the boundary vertices.
For general graphs with cycles additional observations at the internal
vertices are needed for stable identification.
Thursday, October 15, 2015 - 11:00am - 12:00pm
Domenico D'Alessandro (Iowa State University)
In the last decades, advances in pulse shaping techniques have opened
up the possibility of manipulation of systems whose evolution follows
the laws of quantum mechanics. Moreover, novel applications, such as in
quantum information processing, have offered further motivation for
this study.
Wednesday, July 15, 2009 - 10:45am - 12:00pm
Gui-Qiang Chen (Northwestern University)
Same abstract as lecture 1.
Thursday, March 10, 2016 - 7:00pm - 8:30pm
Geophysical hazards such as tsunamis, storm surges, debris flows, and landslides pose a significant risk to a large fraction of the world's population. Mathematical models and computer simulations of these hazards are critical in developing a better understanding of past events, both recent and pre-historic. They are also used to assess hazards, issue real-time warnings, and help communities prepare – despite the uncertainties surrounding potential future disasters.
Monday, November 23, 2015 - 2:25pm - 3:25pm
Yongxin Chen (University of Minnesota, Twin Cities)
We present an overview of our recent work on the modeling and control of collective dynamics. This work provides implementable solutions to the Schroedinger bridge problem and has potential application to stochastic optimal control, optimal transport, and various generalizations. We discuss the case of degenerate constant diffusion coefficients and the steering of linear dynamical systems between two one-time state-distributions using state feedback, the limiting case of Optimal Mass transport with nontrivial prior dynamics.
Monday, November 9, 2015 - 2:25pm - 3:25pm
Yorie Nakahira (California Institute of Technology)
The modern view of the nervous system as layering distributed
computation and communication for the purpose of sensorimotor
control and homeostasis has much experimental evidence but
little theoretical foundation, leaving unresolved the connection
between diverse components and complex behavior. As a simple starting
point, we address a fundamental tradeoff when robust control is done
using communication with both delay and quantization error, which are
both extremely heterogeneous and highly constrained in human and animal
Tuesday, June 11, 2013 - 2:30pm - 3:20pm
Francesco Borrelli (University of California, Berkeley)
Forecasts will play an increasingly important role in the next generation of control systems. In nominal conditions, predictions of system dynamics, human behavior and environmental conditions can be used by the control algorithm to improve the performance of the resulting system. However, in practice, constraint satisfaction, performance guarantees and real-time computation are challenged by the complexity of the engineered system and uncertainty in the environment where the system operates.

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