A unifying convex analysis and switching system approach to consensus with undirected communication graphs

• Published in: Automatica (Oxford) Vol. 111; p. 108598
• Main Authors: Goebel, Rafal, Sanfelice, Ricardo G.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2020
• Subjects: Consensus; Convex analysis; Pointwise asymptotic stability; Steepest descent; Switching system; Steepest descent; Pointwise asymptotic stability; Consensus; Convex analysis; Switching system

Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of the convex functions, if such minimizers exist, is shown. The convex functions need not be smooth and the dynamics may be...