Reachability analysis of multi-affine systems
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
A control problem for affine dynamical systems on a full-dimensional polytope
Automatica (Journal of IFAC)
| Hi-index | 0.00 |
We present an analysis of the Lotka-Volterra differential equation within rectangles that are transverse with respect to the flow. In a similar way to existing works on affine systems (and positively invariant rectangles), we consider nonlinear LV equations, in rectangles with any kind of tranverse patterns. Notably, we give conditions for the existence of such rectangles. We also analyze the dynamical behavior inside a rectangle. This work is a first step towards a qualitative abstraction and simulation of Lotka-Volterra systems.