Abstract
A new conceptual problem studied in the paper is the equilibrium asymptotic stability of singularly perturbed large-scale systems with several small parameters. The paper links the theory of singular perturbations, the Liapunov method and the Bellman concept of vector Liapunov functions, which are used for the system decomposition and aggregation. The main result is new algebraic stability criterion that inherently reduces the stability order problem. An illustrative example is worked out.
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