An overview of fastcinating ideas on complexity and complex networks and systems in computational cybernetics: Dedicated to Prof. Rudoplh E. Kalman, a giant of systems and control sciences, who past away on July 3, 2016: Jean Jacques Russeaux: “Who dares to say — this far man can go but not a step further.”

This paper is focused on exploring the fascinating ideas about complexity in systems science conjunction with the synergies of control, communication and computing via a certain overview. By no means attempts are made to give final answers on what the control of complex systems may comprise. Rather it is an essay-like exposition of personal visions of complexity and controlled complex network and systems from the viewpoint of computational cybernetics. Though, it is also dedicated to explore the issues of integrated control and supervision within their possible interplay over complex plant processes. The justification for continuing the adventure of investigating controlled complex systems from a standpoint of physics and not solely mathematics is found to emerge by itself inevitably. It has been found, the cybernetic physics of complex networks and systems as well as their feasible controls is an open exploration road towards many unknowns. The analysis framework is based on the set-theoretic approach to systems science from the perspective of Lyapunov stability theory being employed.