Keynote address I: Glocal control: Realization of global functions by local measurement and control

Recently, dynamical systems to be treated in various fields of engineering including control have become large and complex, and more high level control such as adaptation against changes of environments for open systems is required. Typical example includes energy networks, meteorological phenomena and bio systems, where our available actions of measurement and control are restricted locally, although our main purpose or final goal is to achieve the desired global behavior. This motivates us to develop a new research direction so called "Glocal Control," which means that the global purpose is achieved by only local actions. At the beginning of this talk the background and main idea of glocal control are explained through real world requirements in energy networks and meteorological phenomena. As a theoretical approach to realize glocal control we introduce a new unified framework for hierarchical multi-agent networked dynamical systems based on a class of linear time-invariant systems with generalized frequency variables and show some fundamental results on stability and robust stability. We then focus on a cooperative stabilization problem by constant output feedback and examine the properties with examples of inverted pendulum systems. The last part is devoted to hierarchical consensus problems, where we show that low rank property of interlayer connection plays an important role to achieve the rapid consensus. A list of future research directions is provided at the end of the talk.