Contraction Theory and Differential Passivity in the port-Hamiltonian formalism
Résumé
In this work, we recall the concept of contractive dynamics and its natural extension to the notion of differential dissipativity/passivity via the use of the so-called prolonged (or extended) system dynamics, obtained by lifting the system to the tangent bundle of the underlying manifold. The new concept of dissipative differential Hamiltonian dynamics is proposed providing a weaker notion of contractive dynamical system. Furthermore, the differential Hamiltonian notion is extended to the definition of differentially passive port-Hamiltonian system and we describe explicit conditions to exploit the 'natural' differential Hamiltonian function as differential storage function for the port-Hamiltonian system dynamics.
Domaines
Systèmes dynamiques [math.DS]
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LHMNC24_Contraction_Theory_and_Differential_Passivity_in_the_port_Hamiltonian_formalism_final.pdf (291.47 Ko)
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