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Positive realness and Lyapunov functions for switched behaviors

Positive realness and Lyapunov functions for switched behaviors
Positive realness and Lyapunov functions for switched behaviors
We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant. The behaviors of the switched system do not necessarily share the same state space, differently from the classical state-space setting. We present a sufficient condition for the existence of a switched Lyapunov function for two scalar switched behavioral systems, and formulas to compute it. Instrumental in our results is the notion of positive-realness of a rational function associated with the polynomials describing the system
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9

Rapisarda, Paolo and Rocha, Paula (2012) Positive realness and Lyapunov functions for switched behaviors. Mathematical Theory of Networks and Systems(MTNS 2012), Australia. 09 - 13 Jul 2012.

Record type: Conference or Workshop Item (Paper)

Abstract

We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant. The behaviors of the switched system do not necessarily share the same state space, differently from the classical state-space setting. We present a sufficient condition for the existence of a switched Lyapunov function for two scalar switched behavioral systems, and formulas to compute it. Instrumental in our results is the notion of positive-realness of a rational function associated with the polynomials describing the system

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More information

Published date: 2012
Venue - Dates: Mathematical Theory of Networks and Systems(MTNS 2012), Australia, 2012-07-09 - 2012-07-13
Related URLs:
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 341566
URI: https://eprints.soton.ac.uk/id/eprint/341566
PURE UUID: 393b674a-c87c-45b6-8e6c-4c8fc5bb0c31

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Date deposited: 27 Jul 2012 13:14
Last modified: 18 Jul 2017 05:34

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