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In this paper, a theory of polynomial and rational matrix interpolation is introduced and applied to problems in systems and control. The polynomial matrix interpolation theory is first outlined and then applied to solving matrix equations; it is also used in pole assignment and other control problems. Rational matrix interpolation is also discussed and it is used to solve rational matrix equations...
The problem of robust stability in linear systems with parametric uncertainties is considered. A new method is developed to determine bounds on uncertain parameters in the state-space model of the system, so that stability is preserved. Both continuous-and discrete-time systems are considered. Unlike previous results, the stability bounds are derived in terms of actual parameters insted of their absolute...
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