An Interval Observer for Continuous-Time Persidskii Systems

The paper deals with design of interval observers for a class of generalized Persidskii systems. The conditions of stability for the suggested nonlinear interval observer are formulated using linear matrix inequalities. The nonnegativity of this class of models is investigated for nonlinearities satisfying the incremental passivity conditions. The efficiency of the proposed observer is demonstrated on a Lotka-Volterra model.