A stability analysis of discrete-time interconnected systems with mixed passivity, negative-imaginary and small-gain properties

A stability analysis of discrete-time interconnected systems with mixed passivity, negative-imaginary and small-gain properties is briefly presented in this paper. These results are analogous to previously established continuous-time case. Nowadays most of the control design is done in discrete-time. Hence, this paper provides a foundation for discretization of mixed system with passivity, negative-imaginary and small-gain properties. Numerical example and practical plant model example with simulation results substantiate the usefulness of the proposed stability analysis.