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On duality of behavioural systems

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Publication Date
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DSpace at IIT Bombay
Keywords
  • Behavioural Systems
  • Multidimensional Systems
  • Controllability
  • Observability
  • Adjoint Systems
  • Controllability-Observability Duality
  • Quadratic Differential Forms
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Abstract

The notions of controllability and observability are duals in the traditional input-state-output framework of systems theory for 1-D systems. Recently, there has been a study on the duality between controllability and observability in behavioural systems [2] by the construction of a suitable adjoint for 1-D behavioural systems. In this paper we show, among other things, that formally this definition carries over also to n-D behavioural systems. We then explore the nature of the duality between controllability and observability for n-D systems using this definition of adjoint.

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