On the controllability and observability of hybrid systems.

Jelel Ezzine*, A. H. Haddad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The authors consider a special class of hybrid systems, whose state space is a cross-product space of an Euclidean space and a finite-state space. Such models may be used to represent systems subject to known abrupt parameter variations, such as commutated networks. They may also be used to approximate some types of time-varying systems. An investigation is conducted of the controllability, observability, and stability of hybrid systems. In particular, the authors derive a necessary and sufficient algebraic condition, a simple algebraic criterion, and a computationally simple algebraic sufficient test for controllability and observability. They provide a simple sufficient stability condition.

Original languageEnglish (US)
Pages (from-to)41-46
Number of pages6
JournalProceedings of the American Control Conference
Volume88 pt 1-3
StatePublished - Dec 1 1988

ASJC Scopus subject areas

  • Control and Systems Engineering


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