Abstract
This paper surveys several alternative but equivalent definitions of “input to state stability” (ISS), a property which provides a natural framework in which to formulate notions of stability with respect to input perturbations. Relations to classical Lyapunov as well as operator theoretic approaches, connections to dissipative systems, and applications to stabilization of several cascade structures are mentioned. The particular case of linear systems subject to control saturation is singled-out for stronger results.
Supported in part by US Air Force Grant AFOSR-91-0346
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On the occasion of Dearge James' 60th birthday
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Sontag, E.D. (1995). State-space and I/O stability for nonlinear systems. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027679
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DOI: https://doi.org/10.1007/BFb0027679
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