International Journal of Control, Vol.86, No.7, 1207-1213, 2013
Convex relaxations for L-2-gain analysis of piecewise affine/polynomial systems
This paper proposes some sufficient conditions based on the computation of polynomial and piecewise polynomial storage functions for -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.
Keywords:piecewise affine and piecewise polynomial discrete-time systems;L-2-gain;storage functions;convex optimisation;sum-of-squares decomposition