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Original Articles

Limit systems, limit gains and non-generic behaviours arising in adaptive stabilizing control

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Pages 233-254 | Published online: 10 Feb 2011

References

  • Byrnes , C. I and Willems , J. C . 1984 . Adaptive stabilization of multivariable linear systems . Proceed- ings of the IEEE 23 rd Conference on Decision Control, Las Vegas , : 1574 – 1577 .
  • Byrnes , C. I , Helmke , U , Morse , A. S , Byrnes , C.I and Linquist , A . 1986 . Necessary conditions in adaptive control. Modelling, Identification and Robust Control , Edited by: Linquist , A . North Holland : Elsevier Science .
  • Hicks , A. C and Townley , S . 1993 . On exact solutions of differential equations arising in universal adaptive stabilization . Systems and Control Letters , 20 : 117 – 129 .
  • Hirsch , M. W , Pugh , C. C and Shub , M . 1977 . Invariant Manifolds Springer , Berlin
  • Ilchmann , A . 1991 . Non-identifier-based adaptive control: a survey . IMA Journal of Mathematical Control and Information , 8 : 321 – 366 .
  • Ilchmann , A . 1993 . Non-Identifier-Based High-Gain Adaptive Control , Vol. 189 , Springer , Berlin : Lecture Notes in Control and Information Sciences .
  • Ilchmann , A . 1994 . Adaptive controllers and root-loci of multivariable minimum phase systems . Dynamics and Control , 4 : 123 – 146 .
  • lchmann , A and Owens , D. H . 1990 . Adaptive stabilization with exponential decay . Systems and Control Letters , 14 : 437 – 443 .
  • Ilchmann , A and Owens , D. H . 1991 . Exponential stabilization using non-differential gain adapta- tion . IMA Journal of Mathematical Control and Information , 7 : 339 – 349 .
  • Leach , J. A , TriantafiUidis , S , Owens , D. H and Townley , S .
  • Mestel , B. D , Townley , S , Middleton , R. H and Kokotovic , P. V . 1992 . Boundedness properties of simple, indirect adaptive control systems . IEEE Transactions on Automatic Control , 37 : 1989 – 1994 .
  • Miller , D. E and Davison , E. J . 1992 . An adaptive controller which provides an arbitrary good transient and steady response . IEEE Transactions on Automatic Control AC-36 , 37 : 68 – 81 .
  • Nikitin , S , Schmid , S and Townley , S . Topological aspects of universal adaptive stabilization, preprint
  • TriantafiUidis , S , Owens , D. H and Townley , S . Root-locus effects in universal adaptive stabilization: transient and limiting behaviour .
  • TriantafiUidis , S , Leach , J. A , Owens , D. H , Townley , S , Willems , I. C and Bvrnes , C. I . 1984 . Global adaptive stabilization in the absence of information on the sign of the high frequency gain . Lecture Notes in Control and information Sciences , 62 : 49 – 57 .

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