分野別セミナー

アブストラクト：This talk addresses the problem of control in systems comprising a chain of N identical masses connected through intermass displacement controllers, with an additional connection to a movable point. Motivated by applications such as the seismic design of multi-storey buildings and the control of vehicle platoons, the study examines scalar transfer functions that relate external disturbances to specific inter-mass displacements. By representing these transfer functions using complex iterative maps, we develop a powerful framework for analysing system behaviour. This approach identifies conditions under which the H-infinity-norm of the transfer functions remains bounded as N increases, providing valuable insights for designing scalable and robust interconnected systems.

URL: https://sites.google.com/view/mathpolynomial