Re-Visiting the Fundamental Theorems of Adaptive Systems

▣ Title : Re-Visiting the Fundamental Theorems

of Adaptive Systems

▣ Speaker

: Tong Heng, Lee(National University of Singapore)

▣ Date

& Time : Tuesday, June 3(2:00 ~ 3:30pm)

▣ Place

: LG Research Building, Room #101

▣ Host

: Prof. Won Sang Chul(T.2221)

▣ Abstract

The

“Adaptive Systems” area of research considers the possibilities of adaptation

in some of the dynamical systems that arises frequently in Engineering Systems.

It utilizes the mathematical/scientific background of signals and systems, and

rather more fundamentally the properties of signals and systems in, say, the

function-spaces of L1, L2 and L-Inf.

This

seminar re-visits two extremely fundamental theorems which have been part of

the main foundations for the advances in Adaptive Systems:

A

“Key Technical Lemma” which establishes the boundednessof signals in the Adaptive System framework; and

A

Limit-Supremum/Limit-Infimumformulation which establishes the concept of the Nussbaum Gain.

In

particular, discussions will also focus on newer developments that are now

additionally needed for various classes of Adaptive & Intelligent Control

Systems; where also the tools/methodologies of discrete-event systems, hybrid

systems, the computer science-type concept of bi-simulation systems and

communicating sequential processes now all play important roles.

Additionally,

various other recent new developments in intelligent automation, mechatronics

and systems will be discussed.