Algebraic differential equations and rational control systems

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40 Scopus citations


An equivalence is shown between realizability of input/output (i/o) operators by rational control systems and high-order algebraic differential equations for i/o pairs. This generalizes, to nonlinear systems, the equivalence between autoregressive representations and finite-dimensional linear realizability.

Original languageEnglish (US)
Pages (from-to)1126-1149
Number of pages24
JournalSIAM Journal on Control and Optimization
Issue number5
StatePublished - 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics


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