Abstract:

The global stability of zero equilibrium point of the generalized Lorenz system was studied,and some algebraic criteria of globally exponential stability and globally asymptotical stability were obtained. Then,based on these criteria, some less conservative feedback-control laws  that  can guarantee the globally exponential stability of the controlled Chen system, L system and YangChen system were presented.

Key words:  generalized Lorenz system; global stability; sufficient and necessary conditions; chaos control