Rest point theorems for autonomous control systems

M.L.J. Hautus, M. Heymann, R.J. Stern

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)


The classical Poincaré-Bendixson theory in the plane is generalized to multivalued vector fields. For control systems where the state x is in Rn and the control u is valued in a compact subset of Rm we study the existence (and nonexistence) of rest states. Some special emphasis is focused on the case n = 2.
Original languageEnglish
Pages (from-to)98-112
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1977


Dive into the research topics of 'Rest point theorems for autonomous control systems'. Together they form a unique fingerprint.

Cite this