Converse theorems for the property of negative imaginary systems

This paper deals with the converse problems about the robust stability of finite dimensional negative imaginary systems. Various converse negative imaginary theorems are established for linear time-invariant systems. It is shown that the feedback interconnection stability of a specific system with an arbitrary strictly negative imaginary system implies the negative imaginary property of the specific.

Automated summary

This paper addresses the converse problems related to the robust stability of finite dimensional negative imaginary systems and establishes various converse negative imaginary theorems for linear time-invariant systems. The research demonstrates that the feedback interconnection stability of a specific system with an arbitrary strictly negative imaginary system implies the negative imaginary property of the specific system.