Extending Negative Imaginary Systems Theory to Nonlinear Systems

Ghallab, Ahmed G.; Mabrok, Mohammed A.; Petersen, Ian R.

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Extending Negative Imaginary Systems Theory to Nonlinear Systems

Date

2018-07-02

Authors

Ghallab, Ahmed G.

Mabrok, Mohammed A.

Petersen, Ian R.

Abstract

In this paper, we extend the negative imaginary systems framework to nonlinear systems using Lyapunov and dissipativity theories. This enables us to extend some existing results from linear negative imaginary systems theory to nonlinear systems. In particular, asymptotic stability of a positive feedback interconnection of nonlinear negative imaginary systems has been established under suitable assumptions.