Metric issues for systems in state space


A metric structure is imposed on state space such that solutions to 1st order state variable model of a linear system are geodesics subject to restrictions on the system and input matrices. For linear time invariant systems, a 2nd order state variable model of an extended system to a given 1st order model is derived. The metric is tailored to systems under consideration.

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Courtesy Department of Electrical Engineering and Mathematics, University of Saskatchewan, Canada: 1986–1989.

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Correspondence to Gautam Lohar.

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Lohar, G. Metric issues for systems in state space. Sādhanā 45, 133 (2020).

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  • Linear system
  • state variable
  • state space
  • metric
  • geodesic