Abstract
Under certain assumptions the existence and uniqueness of the solution of the inner product algebraic Riccati equation of optimal control in Hilbert space are proved. Some related problems such as stabilizability and exact controllability of control systems are investigated also.
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Communicated by A. V. Balakrishnan
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Zabczyk, J. Remarks on the algebraic Riccati equation in Hilbert space. Appl Math Optim 2, 251–258 (1975). https://doi.org/10.1007/BF01464270
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DOI: https://doi.org/10.1007/BF01464270