On observability of singular systems

Abstract

Concepts of observability and strong observability for singular systems are introduced and characterized geometrically in terms of the system matrices without using the Weierstrass decomposition. Duality relations between observability and controllability and that between reachability and strong observability are established. A canonical form for the action of the output injection group on the set of observable systems is presented.

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Baser, U., Özçaldiran, K. On observability of singular systems. Circuits Systems and Signal Process 11, 421–430 (1992). https://doi.org/10.1007/BF01190985

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Keywords

  • System Matrice
  • Canonical Form
  • Singular System
  • Duality Relation
  • Injection Group