This paper proposes some sufficient conditions based on the computation of polynomial and piecewise polynomial storage functions for L2-gain analysis of discrete-time piecewise affine or piecewise polynomial systems. The computation of such storage functions is performed by means of convex optimisation techniques via the sum-of-squares decomposition of multivariate polynomials.
Bianchini, G., Paoletti, S., Vicino, A. (2013). Convex relaxations for L2-gain analysis of piecewise affine/polynomial systems. INTERNATIONAL JOURNAL OF CONTROL, 86(7), 1207-1213 [10.1080/00207179.2013.800648].
Convex relaxations for L2-gain analysis of piecewise affine/polynomial systems
BIANCHINI, GIANNI;PAOLETTI, SIMONE;VICINO, ANTONIO
2013-01-01
Abstract
This paper proposes some sufficient conditions based on the computation of polynomial and piecewise polynomial storage functions for L2-gain analysis of discrete-time piecewise affine or piecewise polynomial systems. The computation of such storage functions is performed by means of convex optimisation techniques via the sum-of-squares decomposition of multivariate polynomials.
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https://hdl.handle.net/11365/45584
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