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Original Articles

model reduction for linear parameter-varying systems with distributed delay

, , &
Pages 408-422 | Received 10 Jun 2007, Accepted 24 Mar 2008, Published online: 23 Feb 2009

References

  • Basin , M , Sanchez , E and Martinez-Zuniga , R . 2007 . Optimal Linear Filtering for Systems with Multiple State and Observation Delays . International Journal of Innovative Computing, Information and Control , 3 : 1309 – 1320 .
  • El Ghaoui , L , Oustry , F and Ait Rami , M . 1997 . A Cone Complementarity Linearisation Algorithm for Static Output-feedback and Related Problems . IEEE Transactions on Automatic Control , 42 : 1171 – 1176 .
  • Farhood , M , Beck , CL and Dullerud , GE . 2003 . “ Proc. of the American Control Conference ” . In On the Model Reduction of Nonstationary LPV Systems , 3869 – 3874 . Denver : Colorado .
  • Gahinet , P and Apkarian , P . 1994 . A Linear Matrix inequality Approach to ℋ∞ Control . International Journal of Robust & Nonlinear Control , 4 : 421 – 448 .
  • Gao , H and Wang , C . 2003 . Comments and Further Results on A Descriptor System Approach to ℋ∞ Control of Linear Time-delay Systems . IEEE Transactions on Automatic Control , 48 : 520 – 525 .
  • Gao , H , Lam , J , Wang , C and Wang , Q . 2004a . Hankel Norm Approximation of Linear Systems with Time Varying Delay: Continuous and Discrete Cases . International Journal of Control , 77 : 1503 – 1520 .
  • Gao , H , Lam , J , Wang , C and Xu , S . 2004b . ℋ∞ Model Reduction for Discrete Time-delay Systems: Delay independent and Dependent Approaches . International Journal of Control , 77 : 321 – 335 .
  • Gao , H , Lam , J , Wang , C and Xu , S . 2005 . ℋ∞ Model Reduction for Uncertain Two-dimensional Discrete Systems . Optim. Control Application Methods , 26 : 199 – 227 .
  • Hassan , M and Boukas , K . 2007 . Multilevel Technique for Large Scale LQR with Time-delays and Systems Constraints . International Journal of Innovative Computing, Information and Control , 3 : 419 – 434 .
  • Kolmanovskii , VB and Richard. , JP . 1999 . Stability of Some Linear Systems with Delays . IEEE Transactions on Automatic Control , 44 : 984 – 989 .
  • Skelton , RE , Iwasaki , T and Grigoriadis , K . 1997 . A Unified Algebraic Approach to Control Design , London, , UK : Taylor & Francis .
  • Shi , P , Boukas , EK and Agarwal , RK . 1999 . Control of Markovian Jump Discrete-time Systems with Norm Bounded Uncertainty and Unknown Delay . IEEE Transactions on Automatic Control , 44 : 2139 – 2144 .
  • Sun , X , Zhao , J and Wang , W . 2007 . Two Design Schemes for Robust Adaptive Control of a Class of Linear Uncertain Neutral Delay Systems . International Journal of Innovative Computing, Information and Control , 3 : 385 – 396 .
  • Tan , K , Grigoriadis , KM and Wu , F . 2003 . ℋ∞ and ℒ2-ℒ∞ Gain Control of Linear Parameter-varying Systems with Parameter-varying Delays . IEE Proceedings Part D: Control Theory Applications , 150 : 509 – 517 .
  • Wu , F and Grigoriadis , KM . 2001 . LpV Systems with Parameter-varying Time Delays: analysis and Control . Automatica , 37 : 221 – 229 .
  • Wu , L , Shi , P , Gao , H and Wang , C . 2006a . ℋ∞ Mode Reduction for Two-dimensional Discrete State-delayed Systems . IEE Proceedings Part J: Vision, Image and Signal Processing , 153 : 769 – 784 .
  • Wu , L , Shi , P , Wang , C and Gao , H . 2006b . Delay-dependent Robust ℋ∞ and ℒ2-ℒ∞ Filtering for LPV Systems with Both Discrete and Distributed Delays . IEE Proceedings Part D: Control Theory Applications , 153 : 483 – 492 .
  • Wu , L , Wang , Z , Wang , C and Gao , H . 2007 . Robust ℋ∞ and ℓ2-ℓ∞ Filtering for Two-dimensional Linear Parameter-varying Systems . International Journal of Robust & Nonlinear Control , 17 : 1129 – 1154 .
  • Wu , L and Lam , J . 2008 . Hankel-type Model Reduction for Linear Repetitive Processes: Differential and Discrete Cases . Multidimensional Systems & Signal Processing , 19 : 41 – 78 .
  • Xu , S , Lam , J , Huang , S and Yang , C . 2001 . ℋ∞ Model Reduction for Linear Time-delay Systems: Continuous Time Case . International Journal of Control , 74 : 1062 – 1074 .
  • Xu , S and Chen , T . 2004 . An LMI Approach to the ℋ∞ Filter Design for Uncertain Systems with Distributed Delays . IEEE Transactions on Circuits and Systems (II) , 51 : 195 – 201 .
  • Yan , W and Lam , J . 1999 . An Approximate Approach to ℋ2 Optimal Model Reduction . IEEE Transactions on Automatic Control , 44 : 1341 – 1358 .
  • Zhou , K , Doyle , JC and Glover , K . 1996 . Robust and Optimal Control , Upper Saddle River, NJ : Prentice-Hall .
  • Zhang , L and Lam , J . 2002 . On ℋ2 Model Reduction of Bilinear Systems . Automatica , 38 : 205 – 216 .
  • Zhang , L , Huang , B and Lam , J . 2005 . ℋ∞ Model Reduction of Markovian Jump Linear Systems . International Journal of Control , 78 : 1198 – 1205 .

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