Extension of one known result in stochastic H /H -control theory
The paper discusses the stochastic linear H /H -control problem with state and control dependent noise. The solution of stochastic H /H -control problem with finite horizon has close relation to a pair of coupled Riccati-type equations.
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Keywords
шум, зависящий от состояния и управления, подавление возмущений, робастное управление, матричное Риккати-подобное уравнение, state and control dependent noise, disturbance attenuation problem, robust control, Riccati-type equationAuthors
Name | Organization | |
Shaikin Michail E. | Institute of Control Sciences Russian Academy of Sciences (Moscow) | shaikin@ipu.ru |
References
Булинский А.В., Ширяев A.H. Теория случайных процессов. М.: Физматлит, 2003. 399 с.
Hinrichsen D, Pritchard A.J. Stochastic Hw II SIAM J. Control Optim. 1998. V. 36. No 5. P. 1504-1538.
Chen B.S. and Zhang W. Stochastic H2IHw-control with state-dependent noise II IEEE Trans. Automat. Control. 2004. V. 49. No. 1. P. 45-56.
Wu Zhen. Forward-backward stochastic differential equations, linear quadratic stochastic optimal control and nonzero sum differential games // J. Systems Science and Complexity. 2005. V.18. No. 2. P. 179-192.
Ma Jin, Protter Philip, Yong Jiongmin. Solving Forward-Backward Stochastic Differential Equations Explicitly - A Four Step Scheme. Probability Theory and Related Fields. 1994. V. 98. P. 339-359.
Bensoussan A. Lecture Notes in Mathematics. Springer Verlag, 1983. V. 972. P. 3-39.
