Does Synergetic Comparison of Chen Pinning Versus Siljak Decentralized Controls Yield Intelligent Dynamic Graphs?

This paper explores the controlled multi-networks of complex dynamical networks in which nodes are assumed to represent nonlinear dynamical systems. This multi-network systemic structure is assumed to be endowed by adequate communication networks in which, for study sake, the intra-node and the out-node inter-connections are distinguished. In turn, via multi-networks operating at control stabilized steady-state orbits (hidden isolated equilibrium or oscillation) of its node systems, possibly with faulty interconnections, certain confluence parallels between Siljak's coordinator and Chen's random-pinning supervisory controls emerge. Thus these findings are summarized in three novel propositions emphasizing their identical or similar roles. The supervisory control integrated complex multi-networks with locally stabilized nonlinear node dynamical systems emerge of paramount importance in the engineering cybernetics.