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The latter correspond to the imaginary systems and their representations, which we call models.
The stability of the feedback interconnection of negative imaginary systems has been well established in the literature.
The paper also presents some applications of negative imaginary systems theory in the design of robust controllers.
This paper presents a survey of some of the main results in the theory of negative imaginary systems.
Negative imaginary systems theory has important application in the control of collocated mechanical systems and we briefly summarize the key relevant results.
The modulated demodulated controller can be configured as both positive position feedback (PPF) and resonant controllers, which are effective in the control of negative imaginary systems.
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This includes the card catalog, as well as sketches by Mr. Otlet in which he describes an imaginary system of "electric telescopes" that would allow users to search and browse through databases like the Mundaneum.
Our new wave filter provides much better control performance than the imaginary system computed online.
Theoretical analysis on wave propagation in a lumped system has shown that smaller mass and larger spring stiffness of an imaginary system absorb vibration energy better, giving the optimum design for the imaginary system.
Saigo, et al., Torsional vibration suppression by wave-absorption control with imaginary system, Journal of Sound and Vibration 270 (2004) 657 672] in which an imaginary wave-propagation system similar to the real controlled system is computed online.
Initialization, setting amplitudes and velocities to zero, of the imaginary system for forced vibration control influences controlled amplitudes more than that for free vibration because vibration energy invariably comes in the system.
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