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Exponential and input-output stability are equivalent for linear time-varying systems

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Abstract

We present a new proof showing that for finite dimensional linear time-varying (fdltv) systems stabilizable by output feedback, exponential and input-output stability are equivalent. This proof does not involve the notion of a dual system as has been done elsewhere and makes use instead of the existence of coprime factorizations. This result is analogous to that in the linear time-invariant case, but because of the time-varying nature of the matrices involved, is not as obvious.

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References

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Authors and Affiliations

  1. Control Systems Laboratory, General Electric Research and Development Center, 12301, Schenectady, NY, USA

    R Ravi

  2. Electrical Engineering and Computer Science, The University of Michigan, 48109, Ann Arbor, MI, USA

    P P Khargonekar

Authors
  1. R Ravi
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  2. P P Khargonekar
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Additional information

This work was supported in part by the National Science Foundation under grant ecs-8451519, in part by a grant from ge, and in part by US Air Force Office of Scientific Research under grant afosr-88-0020. The first author was also supported by a University of Minnesota Graduate Dissertation Fellowship.

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Ravi, R., Khargonekar, P.P. Exponential and input-output stability are equivalent for linear time-varying systems. Sadhana 18, 31–37 (1993). https://doi.org/10.1007/BF02811385

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  • DOI: https://doi.org/10.1007/BF02811385

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