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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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 ...
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 ...
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