On April 6, at 5:00 PM, the 7th seminar of the CSIE Seminar Series was held, focusing on state agreement and synchronization in continuous-time coupled nonlinear systems.

The seminar was delivered by CSIE junior researcher Tigran Melkonyan, under the supervision of CSIE leading researcher Tigran Bakaryan. The presentation explored both theoretical foundations and mathematical analysis of multi-agent dynamical systems. Key topics included convex analysis concepts (such as tangent cones and relative interiors), interaction graphs, and conditions ensuring system stability and agreement.

A central focus was the distinction between state agreement (SA) and asymptotic state agreement (ASA), along with the role of uniformly quasi strongly connected (UQSC) interaction graphs in guaranteeing convergence. The seminar also covered switching systems, dwell time conditions, and provided detailed proofs of the main theorem linking network connectivity to collective behavior.

The discussion highlighted how agents in a network evolve based on local interactions while remaining confined within invariant convex sets, ultimately reaching consensus under appropriate connectivity conditions.