Stability analysis of uncertain systems with saturation constraints

In the present paper we establish new sufficient conditions for the global asymptotic stability of uncertain linear systems described by ordinary differential equations under saturation constraints. We consider systems operating on the unit hypercube in Rⁿ (where all states are subject to saturation constraints) and systems with partial state saturation constraints (where only some of the states are subject to saturation constraints). Systems of the type which we consider are widely used in several areas of applications, including control systems, signal processing, and artificial neural networks. We demonstrate the usefulness of our results by means of two specific examples.