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Original Articles

Stability analysis and stabilisation of switched nonlinear systems

, &
Pages 822-829 | Received 03 Nov 2011, Accepted 12 Feb 2012, Published online: 06 Mar 2012

References

  • Arcak , M , Larsen , M and Kokotovic , P . 2003 . Circle and Popov Criteria as Tools for Nonlinear Feedback Designs . Automatica , 39 : 643 – 650 .
  • Benzaouia , A , Saydy , L and Akhrif , O . 2004 . Stability and Control Synthesis of Switched Systems Subject to Actuator Saturation . American Control Conference . June 2004 . pp. 5818 – 5823 . Boston , MA
  • Boyd , S , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics , Philadelphia : SIAM .
  • Daafouz , J and Bernussou , J . 2001 . Parameter-dependent Lyapunov Functions for Discrete Time Systems with Time-varying Parametric Uncertainties . Systems and Control Letters , 43 : 355 – 359 .
  • de Oliveira , MC and Skelton , R . 2001 . “ Stability Tests for Constrained Linear Systems ” . In Perspectives in Robust Control , Edited by: Moheimani, Lectures Notes in Control an Information Sciences , SOR . 241 – 257 . Berlin : Springer-Verlag .
  • Gomes da Silva Jr , JM , Paim , C and Castelan , EB . 2001 . “ Stability and Stabilization of Linear Discrete-time Subject to Control Saturation ” . In in 1st IFAC Symposium on System Structure and Control (SSSC'01) Prague
  • Gonzaga , CAC , Jungers , M and Daafouz , J . 2012 . Stability Analysis of Discrete-time Lur'e Systems . Automatica , in revision
  • Haddad , WM and Bernstein , DS . 1994 . Parameter-dependent Lyapunov Functions and the Discrete-time Popov Criterion for Robust Analysis . Automatica , 30 : 1015 – 1021 .
  • Jungers , M , Castelan , EB , Tarbouriech , S and Daafouz , J . 2009 . Stabilization of Discrete-time Switching Systems Including Modal Nonlinearities and Saturation Actuators . 3rd IFAC Conference on Analysis and Design of Hybrid Systems . 2009 . pp. 174 – 179 . Zaragoza , , Spain
  • Jungers , M , Castelan , EB , Tarbouriech , S and Daafouz , J . 2010 . Finite ℒ2-induced Gain and λ-contractivity of Discrete-time Switching Systems Including Modal Nonlinearities and Actuator Saturations . Nonlinear Analysis: Hybrid Systems , 5 : 289 – 300 .
  • Jury , EI and Lee , BW . 1964a . On the Absolute Stability of a Certain Class of Nonlinear Sampled-data Systems . IEEE Transactions on Automatic Control , 9 : 51 – 61 .
  • Jury , EI and Lee , BW . 1964b . On the Absolute Stability of Nonlinear Sampled-data Systems . IEEE Transactions on Automatic Control , 9 : 551 – 554 .
  • Kapila , V and Haddad , WM . 1996 . A Multivariable Extension of the Tsypkin Criterion Using a Lyapunov Function Approach . IEEE Transactions on Automatic Control , 41 : 149 – 152 .
  • Khalil , HK . 2002 . Nonlinear Systems, , 3 , Englewood Cliffs , NJ : Prentice Hall .
  • Liberzon , D . 2003 . “ Switching in Systems and Control ” . In Systems and Control: Foundations and Applications , Boston , MA : Birkhäuser . Vol. in series
  • Lu , L and Lin , Z . 2008 . Design of Switched Linear Systems in the Presence of Actuator Saturation . IEEE Transactions on Automatic Control , 53 : 1536 – 1542 .
  • Sharma , TN and Singh , V . 1981 . On the Absolute Stability of Multivariable Discrete-time Nonlinear Systems . IEEE Transactions on Automatic Control , AC-26 : 51 – 61 .
  • Tarbouriech , S , Garcia , G , Gomes da Silva , JM Jr and Queinnec , I . 2011 . Stability and Stabilization of Linear Systems with Saturating Actuators, , 1 , New York : Springer Verlag .
  • Tarbouriech , S , Prieur , C and Gomes da Silva Jr , JM . 2006 . Stability Analysis and Stabilisation of Systems Presenting Nested Saturations . IEEE Transactions on Automatic Control , 51 : 1364 – 1371 .

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