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A tight small-gain theorem for not necessarily ISS systems |
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| Authors: | David Angeli Alessandro Astolfi |
| Affiliation: | aDepartment of Systems and Computer Science, University of Florence, Italy;bElectrical and Electronic Engineering Department, Imperial College London, London SW7 2AZ, UK;cDipartimento di Informatica, Sistemi e Produzione, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy |
| Abstract: | A new version of the small-gain theorem is presented for nonlinear finite dimensional systems. The result provides conditions for global asymptotic stability under relaxed assumptions, in particular the two interconnected subsystems need not be input-to-state stable in open loop. |
| Keywords: | Small-gain theorem Input-to-state stability Integral input-to-state stability Global asymptotic stability |
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