On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
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In this paper we provide a definition and characterisation of negative imaginary systems for not necessarily rational but symmetric transfer functions along the same lines of the classic definition of positive real systems. We then derive a necessary and sufficient condition that characterises symmetric negative imaginary transfer functions in terms of a matrix sign condition on the imaginary axis.
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Some new results in the theory of negative imaginary systems with symmetric transfer matrix functionFerrante, A.; Ntogramatzidis, Lorenzo (2013)This note represents a first attempt to provide a definition and characterisation of negative imaginary systems for not necessarily rational transfer functions via a sign condition expressed in the entire domain of ...
Foundations of not necessarily rational negative imaginary systems theory: relations between classes of negative imaginary and positive real systems. IEEE Transactions on Automatic ControlFerrante, Augusto; Lanzon, A.; Ntogramatzidis, Lorenzo (2016)In this technical note we lay the foundations of a not necessarily rational negative imaginary systems theory and its relations with positive real systems theory. In analogy with the theory of positive real functions, in ...
Ferrante, A.; Lanzon, A.; Ntogramatzidis, Lorenzo (2017)In this paper we introduce the notion of a discrete-time negative imaginary system and we investigate its relations with discrete-time positive real system theory. In the framework presented here, discrete-time negative ...