# 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.

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.

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.

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

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.