)
Abstract:
The first part of the talk is to introduce the seminar attendees to the problem of constructing
Lyapunov functions for interconnected systems in the
framework of integral input-to-state stability. Definitions of
integral input-to-state stability and input-to-state stability will be briefly discussed
for those who are not familiar with them. In the second half of the talk,
a Lyapunov function of a new type is presented.
The objective of the development is to deal with integral input-to-state stable systems
and input-to-state stable systems equally through a
geometrical interpretation. Using a lot of schematic diagrams and pictures,
benefits of the new function are illustrated in
comparison with max- and sum separable Lyapunov
functions which have been popular in the literature.
This presentation does not go into details such as proofs
advanced discussions. Instead, appropriate and useful references will be mentioned.