Mehta, Nirmesh (IIT Bombay), Pillai, Harish (Indian Inst. of Tech. Bombay)

A Search for Positive Storage Functions

Scheduled for presentation during the Mini-Symposium "Functional and algebraic methods in behavioral systems and control theory" (WeA12), Wednesday, July 26, 2006, 12:30−12:55, Room 104b

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 24, 2024

Abstract

Dissipative systems is a widely studied subject and the concept of storage functions are closely associated to dissipative systems. These storage functions for 1-D systems (systems evolving over time) are more or less well understood. Positive storage functions have a special place in the theory of 1-D dissipative systems. Through behavioural theory, there has been an attempt at unifying the theory of n-D systems (for n > 1) with that of 1-D systems. Dissipative n-D systems also have associated concept of storage functions. This is an effort at finding positive storage functions (or components) for n-D systems.