A Liapunov function for three-dimensional feedback systems

Ji Fa Jiang
1992 Proceedings of the American Mathematical Society  
For a three-dimensional model of a positive feedback loop, Selgrade [11, 12] proved that every positive-time trajectory in the nonnegative orthant converges. Hirsch [6] gave another proof of this result under slightly different assumptions. This paper provides a new proof of Selgrade's result that is much shorter and presents a generalization that can be applied to positive and negative feedback loops and other systems.
doi:10.1090/s0002-9939-1992-1092922-1 fatcat:pfr2gstnfvaedghxjycljln4yi