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See detailNecessary conditions for robust stability of a class of nonlinear systems
Goncalves, Jorge UL; Dahleh, M. A.

in Automatica (1998), 34(6), 705-714

Input-output stability results for feedback systems are developed. Robust stability conditions are presented for nonlinear systems with nonlinear uncertainty defined by some function (with argument equal ... [more ▼]

Input-output stability results for feedback systems are developed. Robust stability conditions are presented for nonlinear systems with nonlinear uncertainty defined by some function (with argument equal to the norm of the input) that bounds its output norm. A sufficient small gain theorem for a class of these systems is known. Here, necessary conditions are presented for the vector space (L- infinity ll . ll infinity). These results capture the conservatism of the small gain theorem as it is applied to systems that do not have linear gain. The theory is also developed for the case of L2 signal norms, indicating some difficulties which make this case less natural than L-infinity. [less ▲]

Detailed reference viewed: 89 (2 UL)
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See detailAnalysis of Subspace System Identification Methods Based on Instrumental Variables and Subspace Fitting
Viberg, Mats; Wahlberg, Bo; Ottersten, Björn UL

in Automatica (1997), 33

Detailed reference viewed: 28 (0 UL)