Sufficient conditions are presented for regional stability and nonlinear L2m gain analysis of linear systems subject to saturation, based on piecewise polynomial Lyapunov functions. The proposed conditions are formulated in terms of convex optimization problems and improve existing results both for the quadratic (L2 gain) and the polynomial (L2m gain) cases.
Valmorbida, G., Garulli, A., Zaccarian, L. (2017). Regional L_{2m} gain analysis for linear saturating systems. AUTOMATICA, 76, 164-168 [10.1016/j.automatica.2016.10.030].
Regional L_{2m} gain analysis for linear saturating systems
GARULLI, ANDREA;
2017-01-01
Abstract
Sufficient conditions are presented for regional stability and nonlinear L2m gain analysis of linear systems subject to saturation, based on piecewise polynomial Lyapunov functions. The proposed conditions are formulated in terms of convex optimization problems and improve existing results both for the quadratic (L2 gain) and the polynomial (L2m gain) cases.
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https://hdl.handle.net/11365/1006756