Abstract
This paper aims to formulate a new approach to dissipative modeling of nonlinear positive systems with interior equilibria. Processing positivity separately from stability becomes unnecessary. For asymmetric state spaces on which systems evolve, this paper proposes a supply rate of non-gain-type asymmetry and develops formulas of their aggregation, which is not as trivial as aggregating L 2 gain and passivity supply rates. The novelty of their proofs is that the involved treatment of asymmetric functions is reduced to the evaluation of directed graphs carrying balance information between variables. The dissipativity on asymmetric spaces and the aggregation formulas qualify a single logarithmic storage function to establish stability and positivity simultaneously for an interconnected system. The usefulness is illustrated by examples.
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