A gradient representation for the generalized Birkhoff system was studied. The condition under which the generalized Birkhoff system can be considered as a gradient system was given. The stability of the system was discussed by using the property of gradient system. Some examples were given to illustrate the application of the results.
梅凤翔,吴惠彬.广义Birkhoff系统的梯度表示[J].动力学与控制学报,2012,10(4):289~292; Mei Fengxiang, Wu Huibin. A gradient representation for generalized Birkhoff system[J]. Journal of Dynamics and Control,2012,10(4):289-292.
