In-Network Stabilizations of Dynmical Systems

Maintenance of wireless network system is the major problem now a days. computational methods in wireless networks degrade the performance and stability of the network. The problem of stabilizing a linear system over a wireless network using simple in-network computation method. Wireless Control Network is a simple network of nodes where each node maintains its position details and gets frequent updates from other nodes in linear combination of neighbor plant outputs. In WCN structural system have less computation overhead and beneficial scheduling with compositionality properties. This system proposes basic characteristics of topological conditions which stabilize the network. The coupling between plant’s dynamics and nodes dynamic nature in network structure is analyzed by this system. To achieve this the system stabilizes the control inputs even if vertex connectivity of the network is very larger than the geometric multiplicity of unstable eigenvalues of the plant, this is analogous to typical min-cut condition that is required in traditional information distribution problem. Proposed system overcome this problem by topological conditions which imposes communication through plant’s sensors and decentralized controllers at actuators in the network employed with traditional code on it.