On Balanced Reduction for Input Delay Systems.
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概要
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Controllability and observability gramians are derived for input delay systems. The gramians are constructively given based on matrix Lyapunov equations and the corresponding eigenvalues/vectors are fairly characterized with the solutions to an transcendental equation. Then providing some interpretations for input delay systems, we elaborate the calculation method of balanced reduction and illustrate the prodedure with numerical examples.
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