Dissipative Physical Systems

Abstract

In this chapter, we shall present a class of dissipative systems which correspond to models of physical systems, and hence embed in their structure the conservation of energy (first principle of thermodynamics) and the interaction with their environment through pairs of conjugated variables with respect to the power. First, we shall recall three different definitions of systems obtained by energy-based modeling: controlled Lagrangian, input–output Hamiltonian systems, and port-controlled Hamiltonian systems. We shall illustrate and compare these definitions on some simple examples.