Mahmoud, Magdi S.; Nounou, Mohamed N.; Nounou, Hazem N. Analysis and synthesis of uncertain switched discrete-time systems. (English) Zbl 1127.93050 IMA J. Math. Control Inf. 24, No. 2, 245-257 (2007). In the paper, \(\mathcal{L}_2\)-gain analysis and control synthesis for a class of linear switched systems with convex-bounded parameter uncertainties in the system matrices, are examined. The main trust is based on the constructive use of an appropriate switched Lyapunov functional. Reviewer: Vladimir Sobolev (Samara) Cited in 14 Documents MSC: 93D15 Stabilization of systems by feedback 93B50 Synthesis problems 93C41 Control/observation systems with incomplete information 93C55 Discrete-time control/observation systems Keywords:switched systems; uniform quadratic stability; switched state feedback; switched output feedback; polytopic uncertainty; linear matrix inequalities PDFBibTeX XMLCite \textit{M. S. Mahmoud} et al., IMA J. Math. Control Inf. 24, No. 2, 245--257 (2007; Zbl 1127.93050) Full Text: DOI