Feedback Stabilization for Cross Triangular Nonlinear Systems

This paper investigates the global asymptotic stabilization for a class of cross triangular nonlinear systems in which the nonlinearities are assumed to satisfy a linear growth condition on cross systems. The system includes both upper and lower triangular system and hence it can be seen as a generalization of triangle systems. With the help of Lyapunonv stability theorem, and the state transformation of nonlinear systems, we construct a control strategy, in which two static parameters are introduced to achieve our control purposes. A numerical example is given to illustrate the effectiveness of the proposed strategy.