Patent ID: 8184627

Claim:
A method for an electrical control system to manage resources in a point-to-multipoint (P2MP) network that includes at least one root station and at least one leaf station each configured to transmit and receive one or more network packets over the P2MP network, the method for the electrical control system comprising: controlling the at least one root station based, at least in part, on output of the electrical control system, wherein the electrical control system is configured to reduce an amount of time for the electrical control system to produce an output comprising a steady state and to define a maximum boundary for the output, the electrical control system comprising a feedback control loop; transmitting one or more network packets to the at least one leaf station, wherein the at least one leaf station is capable of transmitting and receiving the one or more network packets from the at least one root station, and wherein the at least one leaf station is capable of communication with the at least one root station; and repeating the controlling and the transmitting for at least one of the one or more network packet; and wherein the electrical control system is based at least in part on the equation x i (n+1)=(A i −B i K i )x i (n), where x i (n) is a state vector that indicates a bandwidth requirement and queue length of the at least one leaf station, where A i is a state vector matrix, B i is an input vector matrix, where K i is a constant matrix, and where n is a given time.