Work

Conditions for QSR-dissipativity of the interconnection of hybrid systems with the sum of storage functions

Year: 2024

Type: conference-paper

Abstract: This note explores the QSR-dissipativity of a class of hybrid dynamical systems. We first revisit and extend some existing definitions of dissipativity for hybrid systems. Subsequently, we explore some results regarding the relations between the QSR-dissipativity property of one open hybrid subsystem and its stability. Next, we shift focus to studying the negativefeedback interconnection of two hybrid subsystems, deriving new results about the existence of storage functions guaranteeing that the interconnection between two individual QSR-dissipative hybrid subsystems remains QSR-dissipative in the presence of external input signals. Analyzing such interconnections of hybrid systems may be intricate due to the possibility of both synchronous and asynchronous jumps occurring among the two subsystems, as previously acknowledged by the existing literature.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc56724.2024.10886224

Authors: Thiago Alves Lima, Marc Jungers

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, CentraleSupélec, CRAN

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Hybrid And Networked Dynamical sYstems