Regional L2m gain analysis for linear saturating systems

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...

Full description

Saved in:
Bibliographic Details
Published inAutomatica (Oxford) Vol. 76; pp. 164 - 168
Main Authors Valmorbida, Giorgio, Garulli, Andrea, Zaccarian, Luca
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2017
Subjects
[formula omitted] gain
Constrained systems
Saturation
Sum-of-squares
Constrained systems
Sum-of-squares
L2m gain
Saturation
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2016.10.030