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Published June 1997 | Published
Book Section - Chapter Open

State-space structure of finite horizon optimal mixed H_2/H_∞ filters

Abstract

We show that finite horizon optimal mixed H_2/H_∞ filters are not of fixed order. Moreover, when the underlying systems have state-space models of order n, the optimal finite horizon mixed H_2/H_∞, filter has state-space model of order no greater than n+J where J is the multiplicity of the maximum singular value of T_2(K) equal to the H_∞ bound γ.

Additional Information

© 1997 IEEE. This work was supported in part by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001 and by the Joint Service Electronics Program at Stanford under contract DAAH04-94-G-0058-P00003.

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