On the stability of port-Hamiltonian descriptor systems

نویسندگان

چکیده

We characterize stable differential-algebraic equations (DAEs) using a generalized Lyapunov inequality. The solution of this inequality is then used to rewrite DAEs as dissipative Hamiltonian (dH) on the subspace where solutions evolve. Conversely, we give sufficient conditions guaranteeing stability dH DAEs. Further, for stabilizable descriptor systems construct algebraic Bernoulli which can be these pH systems. Furthermore, show how describe and Dirac Lagrange structures.

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ژورنال

عنوان ژورنال: IFAC-PapersOnLine

سال: 2021

ISSN: ['2405-8963', '2405-8971']

DOI: https://doi.org/10.1016/j.ifacol.2021.11.068