On the Input-to-State Stability Property

The ‘input to state stability’ (ISS) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilisation of cascades of systems and of linear systems subject to control saturation.

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