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International Journal of Control Volume 15, 1972 - Issue 5
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Original Articles

A simplified method for solving the matrix Riccati equation†

J. E. PRUSSING University of Illinois, Urbana, Illinois
Pages 995-1000 | Received 16 Jun 1971, Published online: 03 Apr 2007

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M. SIMAAN & J. B. CRUZ$suffix/text()$suffix/text(). (1973) On the solution of the open-loop Nash Riccati equations in linear quadratic differential games† . International Journal of Control 18:1, pages 57-63.
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Articles from other publishers (11)

Verica Radisavljevic. (2011) Improved Potter–Anderson–Moore algorithm for the differential Riccati equation. Applied Mathematics and Computation 218:8, pages 4641-4646.
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Z. Gajic. (2010) Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach. IEEE Transactions on Automatic Control 55:1, pages 191-194.
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John Prussing. (2002) Second-Order Necessary and Sufficient Conditions Applied to Low-Thrust Trajectories. Second-Order Necessary and Sufficient Conditions Applied to Low-Thrust Trajectories.
Jang-Won Jo & John E. Prussing. (2000) Procedure for Applying Second-Order Conditions in Optimal Control Problems. Journal of Guidance, Control, and Dynamics 23:2, pages 241-250.
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. 1986. Optimal Spacecraft Rotational Maneuvers. Optimal Spacecraft Rotational Maneuvers 456 486 .
J. D. Turner, H. M. Chun & J. N. Juang. (1985) Closed-form solutions for a class of optimal quadratic tracking problems. Journal of Optimization Theory and Applications 47:4, pages 465-481.
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James D. Turner, Hon M. Chun & Jer-Nan Juang. (1985) An analytic solution for the state trajectories of a feedback control system. Journal of Guidance, Control, and Dynamics 8:1, pages 147-148.
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D.G. Lainiotis, K.S. Govindaraj & D. AndrisaniIIII. (1978) Nonsymmetric Riccati equations: Partitioned algorithms. Computers & Electrical Engineering 5:2, pages 109-122.
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A. V. Kibenko & Yu. T. Trubnikov. (1976) Approximate method for solving a nonstationary matrix Riccati equation. Lithuanian Mathematical Journal 15:2, pages 201-206.
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Demetrios G. Lainiotis. (1975) Fast Riccati equation solutions: Partitioned algorithms. Computers & Electrical Engineering 2:4, pages 389-396.
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Demetrios G. Lainiotis. (1974) Partitioned estimation algorithms, II: Linear estimation. Information Sciences 7, pages 317-340.
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