For a class of uncertain nonlinear differential-algebraic equations subsystems whose index is one and interconnection is locally measurable,the problem of robust stabilization is considered by combining the backstepping method and artificial neural networks.The robust stabilization controller is proposed based on backstepping approach by using three-layer artificial neural networks to approximate the uncertain terms arisen in the procedure of controller design.The weights of neural networks are updated online with a new self-adaptive algorithm.By choosing the gain parameters of the virtual controllers step-by-step,a stabilization controller is obtained through which the closed-loop systems are made asymptotically stable.