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Original Articles

Smooth/impulsive linear systems: interconnections

, , &
Pages 416-425 | Received 23 Aug 2012, Accepted 22 Sep 2012, Published online: 01 Nov 2012

References

  • Dai , L . 1989 . Singular Control Systems , New York : Springer .
  • Fliess , M and Bourlès , H . 1994 . On Some Phenomena Occurring in the Interconnection of Linear Systems . Proceedings of 33rd Conference on Decision and Control . 1994 . Lake Buena Vista , , FL
  • Geerts , AHW and Schumacher , JM . 1996a . Impulsive- Smooth Behaviour in Multimode Systems. Part I: State- Space and Polynomial Representations . Automatica Journal of IFAC , 32 : 747 – 758 . doi: 10.1016/0005-1098(96)00008-8
  • Geerts , AHW and Schumacher , JM . 1996b . Impulsive- Smooth Behaviour in Multimode Systems. Part II: Minimality and Equivalence . Automatica Journal of IFAC , 32 : 819 – 832 . doi: 10.1016/0005-1098(96)00007-6
  • Hazewinkel , M . 1980 . “ On Families of Linear Systems: Degenerating Phenomena ” . In Algebraic and Geometric Methods in Linear Systems Theory, Lectures in Applied Mathematics , Edited by: Byrnes , CI and Martin , CF . Vol. 18 , 157 – 189 . Providence, RI : AMS .
  • Lomadze , V . 1990 . Finite-dimensional Time-invariant Linear Dynamical Systems: Algebraic Theory . Acta Applicandae Mathematicae , 19 : 149 – 201 .
  • Lomadze , V . 2006 . On the Regular Feedback Interconnection Problem . International Journal Control , 79 : 858 – 865 . doi: 10.1080/00207170600630539
  • Lomadze , V . 2009 . (Generalised) Autoregressive Models and Their Trajectories . International Journal Control , 82 : 1929 – 1936 . doi: 10.1080/00207170902823014
  • Lomadze , V and Mahmood , H . 2010 . Smooth/Impulsive Linear Systems: Axiomatic Description . Linear Algebra Applications , 433 : 1997 – 2009 . doi: 10.1016/j.laa.2010.08.003
  • Lomadze , V and Mahmood , H . 2011 . Smooth/Impulsive Linear Systems: Controllability . International Journal of Control , 84 : 679 – 692 . doi: 10.1080/00207179.2011.568004
  • Ravi , MS , Rosenthal , J and Schumacher , JM . 1997 . Homogeneous Behaviours . Mathematics Control Signals and Systems , 10 : 61 – 75 . doi: 10.1007/BF01219776
  • Vardulakis , AIG . (1991), Linear Multivariable Control. Algebraic Analysis and Synthesis Methods, Chichester: Wiley
  • Willems , JC . 1991 . Paradigms and Puzzles in the Theory of Dynamical Systems . IEEE Transactions on Automatic Control , 36 : 259 – 294 . doi: 10.1109/9.73561
  • Willems , JC . 1997 . On Interconnections, Control, and Feedback . IEEE Transactions on Automatic Control , 42 : 326 – 339 . doi: 10.1109/9.557576

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