Multiparameter polynomial adaptive stabilizers

S. Nikitin, D. Prätzel-wolters

Research output: Contribution to journalArticlepeer-review


In 1983 Morse proved, for unknown scalar one-dimensional linear systems, the nonexistence of rational or polynomial universal stabilizers (UAS). In 1983, Nussbaum gave an example of an analytic UAS. In our paper, it is shown that there exist time-invariant polynomial UAS's with multidimensional gain adaptation. The design procedure is developed for linear, minimum-phase systems of relative degree one. Convergence of the closed-loop system is proved. Some numerical simulations are provided.

Original languageEnglish (US)
Pages (from-to)431-439
Number of pages9
JournalIMA Journal of Mathematical Control and Information
Issue number4
StatePublished - 1991
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics


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