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- W2034031405 abstract "This note is concerned with the regularity of solutions of algebraic Riccati equations arising from infinite dimensional LQR control problems. We show that distributed parameter systems described by certain parabolic partial differential equations often have a special structure that smooths solutions of the corresponding Riccati equation. This analysis is motivated by the need to find specific representations for Riccati operators that can be used in the development of computational schemes for problems where the input and output operators are not Hilbert-Schmidt. This situation occurs in many boundary control problems and in certain distributed control problems associated with optimal sensor/actuator placement." @default.
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- W2034031405 date "1994-11-01" @default.
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- W2034031405 title "A note on the regularity of solutions of infinite dimensional Riccati equations" @default.
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- W2034031405 doi "https://doi.org/10.1016/0893-9659(94)90085-x" @default.
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