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International Journal of Systems Science Volume 28, 1997 - Issue 6
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Original Articles

Improvement on stability bounds for singularly perturbed systems via state feedback

W. Q. LIU Department of Electrical and Electronic Engineering, University of Western Australia, Nedlands, WA, 6907, Australia.
,
M. PASKOTA School of Mathematics and Computing, University of Derby, Kedleston Road, Derby, DE22 1GB, U.K.
,
V. SREERAM Department of Electrical and Electronic Engineering, University of Western Australia, Nedlands, WA, 6907, Australia.
&
K. L. TEO Department of Mathematics, University of Western Australia, Nedlands, WA, 6907, Australia.
Pages 571-578 | Received 03 Jun 1996, Accepted 31 Jul 1996, Published online: 03 Apr 2007

References

  • CHEN , B. , and LIN , C. , 1990 , On the stability bounds of singularly perturbed systems . IEEE Transactions Automatic Control, 35 , 1265 – 1270 .
  • FENG , W. , 1988 , Characterization and computation for the bound ε* in linear time invariant singularly perturbed systems . Systems and Control Letters, 11 , 195 – 202 .
  • FULLER , A. T. , 1968 , Conditions for a matrix to have only characteristic roots with negative real parts . Journal of Mathematic Analysis Applications, 23 , 71 – 98 .
  • KOKOTOVIC , P. V. , KHALIL , H. K. , and REILLY , J. O. , Singular Perturbation Methods in Control: Analysis and Design ( New York : Academic Press ).
  • KLIMUSHEV , A. I. , and KRASOVSKII , N. K. , 1962 , Uncertain asymptotic stability of systems of differential equations with a small parameter in the derivative terms . Journal of Applications of Mathematical Mechanics, 25 , 1011 – 1025 .
  • MUSTAFA , D. , 1995 , Block Lyapunov sum with applications to integral controllability and maximal stability to singularly perturbed systems. International Journal of Control, 61 , 47 – 64 .
  • SAKSENA , V. R. , REILLY , J. O. , and KOKOTOVIC , P. V. , 1984 , Singular perturbations and time-scale methods in control theory: survey 1976–1983 . Automatica, 20 , 273 – 293 .
  • SANDELL , N. R. , 1979 , Robust stability of systems with application to singular perturbations . Automatica, 15 , 467 – 470 .
  • SEN , S. , and DATTA , K. B. , 1993 , Stability bounds of singularity perturbed systems . IEEE Transactions Automatic Control, 35 , 302 – 304 .

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