During 2001 and 2002, he served as the Chair of the newly-formed Department of Electrical Engineering and Computer Science (EECS) at Case Western Reserve University while simultaneously holding the Nord Endowed Professorship.

He has also worked on automotive control problems with Centro Ricerche Fiat in Italy, in partnership with a team at Politecnico di Torino, headed by Roberto Tempo.

[16] Barmish holds the grade of Fellow of the Institute of Electrical and Electronics Engineers (IEEE) due to his contributions to robust control theory for systems with real parametric uncertainty.

[19] The first award, covering the period 1987-1989, was presented at the IFAC World Congress in Tallinn, Estonia, to Barmish and Shi for their work on robust stability with time delays.

[21] During his career at the University of Wisconsin, Barmish received the College of Engineering Byron Byrd Award for Excellence in Research Publication.

Barmish is also well known for the large number of invited lectures, plenaries, and keynotes he has given, including his video presentations[28][29] at ETH Zurich and the Fields Institute.