Abstract
This paper presents an approach to construct mixed potentials, to be used as storage functions in the context of dissipative systems theory. The objective is to obtain, through a locally-defined geometric decomposition of a given drift vector field, a potential similar to the thermodynamically-defined availability function proposed in the literature. The mixed potential is obtained by homotopy integration of a differential one-form for the drift vector field which decomposes the system into an exact part (generated by a potential) and an anti-exact part (which is not directly generated by a potential). The key element in the proposed approach is the computation of an integrating factor for the anti-exact part of the dynamics.
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