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Nonlinear Stochastic H_2/H_\infty Control with (x,u,v) -Dependent Noise: Infinite Horizon Case

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2 Author(s)
Weihai Zhang ; Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao ; Gang Feng

For general nonlinear stochastic Ito systems with state, control and external disturbance-dependent noise, the infinite horizon mixed H2/Hinfin control is studied. It turns out that in order to solve the H2/Hinfin control, one only needs to solve four cross-coupled Hamilton-Jacobi equations. A necessary condition and a sufficient condition for the existence of the solution of H2/Hinfin controlis respectively presented, which extends the previous results to more general models.

Published in:

Automatic Control, IEEE Transactions on  (Volume:53 ,  Issue: 5 )

Date of Publication:

June 2008

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