Estimation of attraction domains for nonlinear systems of special form

摘要

For a nonlinear system that can be represented as an aggregate of interacting linear subsystems, the problem of finding an estimate of the attraction domain of an equilibrium state is posed. The estimate is sought as a Cartesian product of invariant ellipsoids of the subsystems composing the system. The proposed method relies on results of absolute stability theory and reduces construction of the estimate to solving an LMI system.