%0 Book Section %T Analysis of bilinear systems with sampled-data state feedback %+ Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS) %+ Systèmes Non Linéaires et à Retards (SyNeR) %+ Non-Asymptotic estimation for online systems (NON-A) %+ Laboratoire des signaux et systèmes (L2S) %A Omran, Hassan %A Hetel, Laurentiu %A Richard, Jean-Pierre %A Lamnabhi-Lagarrigue, Françoise %@ 978-3-319-32372-5 %B Delays and Networked control systems %E Seuret %E A. %E Hetel %E L. %E Daafouz %E J. %E Johansson %E K.H. (Eds.) %I Springer Verlag %P 79-96 %8 2015 %D 2015 %R 10.1007/978-3-319-32372-5_5 %K Maximum Allowable Sampling Period (MASP) %K Linear Matrix Inequalities (LMI) %K Lyapunov function %K Bilinear Systems %K Linear State Feedback %Z Computer Science [cs]/Automatic Control Engineering %Z Engineering Sciences [physics]/AutomaticBook sections %X In this chapter we consider the stability analysis of bilinear systems controlled via a sampled-data state feedback controller. Sampling periods may be time-varying and subject to uncertainties. The goal of this study is to find a constructive manner to estimate the maximum allowable sampling period (MASP) that guarantees the local stability of the system. Stability criteria are proposed in terms of linear matrix inequalities (LMI). %G English %L hal-01260212 %U https://centralesupelec.hal.science/hal-01260212 %~ CNRS %~ INRIA %~ UNIV-PSUD %~ INRIA-LILLE %~ SUP_LSS %~ LAGIS %~ INRIA_TEST %~ SUP_SYSTEMES %~ TESTALAIN1 %~ CENTRALESUPELEC %~ CRISTAL %~ INRIA2 %~ CRISTAL-SYNER %~ TDS-MACS %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ CENTRALESUPELEC-SACLAY %~ UNIV-LILLE %~ GS-COMPUTER-SCIENCE