Interconnected systems with “mixed” passivity and negative-imaginary properties: A stability analysis in discrete-time

Abstract

This paper briefly presents a stability analysis of interconnected systems with mixed passivity and negative-imaginary properties in discrete-time. These results are analogous to previously established continuous-time case. As discretization of the system or discrete-time design is an important issue for control system design, this paper provides a base for discretization of “mixed” system with passivity and negative imaginary properties. Numerical example and simulation results demonstrate the effectiveness of the proposed analysis.