| 摘 要： | In this paper, the nonlinear singular stabilization, H∞control problem of systems with ordinary homogeneous properties is considered. At first, we discuss the stabilization problems of nonlinear systems with homogeneous. Secondly, by vitue of Hamilton-Jacobi-Isaacs equations or inequalities, we solve regular H∞, of nonlinear systems with homogeneous properties. To overcome the H∞, problem of singular nonlinear system, we try to transform inputs of the singular nonlinear system into two parts: regular part input and singular part input. Following the previous results, we solve the singular nonlinear system H∞control, we give the Lyapunov function and the state feedback controller of the singular nonlinear systems with homogeneous properties.
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