EE Seminar: A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays

Speaker: Yuri Feigin

M.Sc. student under the supervision of Prof. Emilia Fridman

Sunday, February 5th, 2017 at 15:00

Room 011, Kitot Bldg., Faculty of Engineering

A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays

Singularly perturbed systems, being an adequate mathematical model of real-life two-time-scale systems, were studied extensively in the literature. An important type of such systems is a system with time delays of the order of a small parameter multiplying  part of derivatives in the system.

In this talk linear time-invariant singularly perturbed systems with small point-wise and distributed time delays are considered. A direct approach to exact slow-fast decomposition of such systems is presented. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem.  Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using  in various engineering applications. The efficiency of the results are illustrated by a model of a multi-link single-sink optical network.