Counting critical formations on the circle: algebraic-geometric and Morse-theoretic bounds

DOI10.1007/s00498-016-0163-8zbMath1342.93035OpenAlexW2316295226MaRDI QIDQ305693

Christian Lageman, Uwe R. Helmke

Publication date: 30 August 2016

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-016-0163-8

zbMATH Keywords

Morse theorydistributed controlformation controlalgebraic-geometric methods

Mathematics Subject Classification ID

Geometric methods (93B27) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Algebraic methods (93B25)

Related Items (1)

Simultaneous velocity consensus and shape control for a finite number of point agents on the unit circle

Uses Software

• MixedVol

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