SMS scnews item created by Georg Gottwald at Fri 6 Oct 2017 1614
Type: Seminar
Distribution: World
Expiry: 20 Oct 2017
Calendar1: 13 Oct 2017 1600-1700
CalLoc1: Carslaw 275
CalTitle1: Averaging of singularly perturbed deterministic and stochastic control systems
Auth: gottwald@pgottwald3.pc (assumed)

# Sydney Dynamics Group seminar: Vladimir Gaitsgory -- Averaging of singularly perturbed deterministic and stochastic control systems

Dear All,

Next week on Friday, October 13, Vladimir Gaitsgory (Macquarie), will give a talk at
USyd, Carslaw Lecture Theatre 275 at 4pm on

Title: Averaging of singularly perturbed deterministic and stochastic control systems

Abstract: Models of real life dynamical systems are often characterized by the fact that
their state variables are decomposed into groups of slow and fast ones, this
decomposition being formalized with a special introduction of a small parameter.  Such
systems are commonly called singularly perturbed (SP).

Problems of control of SP systems (in both deterministic and stochastic settings) have
received a great deal of attention in the literature.  In this talk, we will discuss
results establishing that, under certain conditions, the slow state trajectories of a SP
control system are asymptotically close to the state trajectories of an averaged
system.  The role of controls in the averaged system is played by measure-valued
functions that take values in the set of occupational measures generated by the
state-control trajectories of the fast dynamics considered with â€œfrozenâ€ slow state
components.

Hope to see you all there,

Georg


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