Abstract: As the existing combat network model is abstracted and the study on network functional complexity is not sufficient enough, an analysis method for functional invulnerability of convergent networks is presented. A complex convergent network model of combat system is established, which deals with hetero- geneous and convergent nodes in a single-layer network, and a new concept of function chain is proposed. The functional participation and functional importance of nodes are defined by function chain. On this basis, the functional integrity is defined as the measure of network functional invulnerability. Three attack modes are adopted in experiment: the first is random attack when network information is unknown, the second is intentional attack as network information is known incompletely, including attacking according to node degree, and the third is intentional attack within network information is known, including attacking according to functional importance and greedy algorithm. Experimental results show that the network has a higher robustness against random attack; it has less robustness against intentional attack in the case of incompletely known information ; and it has more less robustness against intentional attack in the case of known information.Key

Key words: complexnetwork, functionchain, invulnerability, convergentnode