Relevant bibliographies by topics / Discrete Algebraic Riccati Equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Discrete Algebraic Riccati Equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Discrete Algebraic Riccati Equation"

1

TANG, Yibing, Michio KONO, and Tatsuo SUZUKI. "Solvability of Stochastic Discrete Algebraic Riccati Equation." Transactions of the Society of Instrument and Control Engineers 38, no. 2 (2002): 227–29. http://dx.doi.org/10.9746/sicetr1965.38.227.

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Wang, Li. "An Improved Iterative Method for Solving the Discrete Algebraic Riccati Equation." Mathematical Problems in Engineering 2020 (May 20, 2020): 1–6. http://dx.doi.org/10.1155/2020/3283157.

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The discrete algebraic Riccati equation has wide applications, especially in networked systems and optimal control systems. In this paper, according to the damped Newton method, two iterative algorithms with a stepsize parameter is proposed to solve the discrete algebraic Riccati equation, one of which is an extension of Algorithm (4.1) in Dai and Bai (2011). A numerical example demonstrates the convergence effect of the presented algorithm.
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LANCASTER, P., A. C. M. RAN, and L. RODMAN. "Hermitian solutions of the discrete algebraic Riccati equation." International Journal of Control 44, no. 3 (1986): 777–802. http://dx.doi.org/10.1080/00207178608933632.

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Sun, Ji-guang. "Backward error for the discrete-time algebraic Riccati equation." Linear Algebra and its Applications 259 (July 1997): 183–208. http://dx.doi.org/10.1016/s0024-3795(96)00283-2.

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Stoorvogel, Anton A., and Ali Saberi. "The discrete algebraic Riccati equation and linear matrix inequality." Linear Algebra and its Applications 274, no. 1-3 (1998): 317–65. http://dx.doi.org/10.1016/s0024-3795(97)00365-0.

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Sun, Ji-guang. "Sensitivity analysis of the discrete-time algebraic Riccati equation." Linear Algebra and its Applications 275-276 (May 1998): 595–615. http://dx.doi.org/10.1016/s0024-3795(97)10017-9.

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WIMMER, HARALD K. "Hermitian solutions of the discrete-time algebraic Riccati equation." International Journal of Control 63, no. 5 (1996): 921–36. http://dx.doi.org/10.1080/00207179608921876.

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Wimmer, H. K. "Unmixed Solutions of the Discrete-Time Algebraic Riccati Equation." SIAM Journal on Control and Optimization 30, no. 4 (1992): 867–78. http://dx.doi.org/10.1137/0330048.

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Wimmer, Harald K. "Strong solutions of the discrete-time algebraic Riccati equation." Systems & Control Letters 13, no. 5 (1989): 455–57. http://dx.doi.org/10.1016/0167-6911(89)90113-8.

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Wimmer, Harald K. "Intervals of solutions of the discrete-time algebraic Riccati equation." Systems & Control Letters 36, no. 3 (1999): 207–12. http://dx.doi.org/10.1016/s0167-6911(98)00093-0.

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Dissertations / Theses on the topic "Discrete Algebraic Riccati Equation"

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Kojima, Chiaki. "Studies on Lyapunov stability and algebraic Riccati equation for linear discrete-time systems based on behavioral approach." 京都大学 (Kyoto University), 2007. http://hdl.handle.net/2433/135968.

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Benner, P., A. J. Laub, and V. Mehrmann. "A collection of benchmark examples for the numerical solution of algebraic Riccati equations II: Discrete-time case." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800765.

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This is the second part of a collection of benchmark examples for the numerical solution of algebraic Riccati equations. After presenting examples for the continuous-time case in Part I, our concern in this paper is discrete-time algebraic Riccati equations. This collection may serve for testing purposes in the construction of new numerical methods, but may also be used as a reference set for the comparison of methods.
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Mehrmann, V. "A step towards a unified treatment of continuous and discrete time control problems." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800581.

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In this paper introduce new approach for unified theory for continuous and discrete time (optimal) control problems based on the generalized Cayley transformation. We also relate the associated discrete and continuous generalized algebraic Riccati equations. We demonstrate the potential of this new approach proving new result for discrete algebraic Riccati equations. But we also discuss where this new approach as well as all other approaches still is non-satisfactory. We explain a discrepancy observed between the discrete and continuous cse and show that this discrepancy is partly due to the c
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Benner, Peter, and Heike Faßbender. "On the solution of the radical matrix equation $X=Q+LX^{-1}L^T$." Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200701929.

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We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation $X = Q + LX^{-1}L^T$, where Q is symmetric positive definite and L is nonsingular. Such equations arise for instance in the analysis of stationary Gaussian reciprocal processes over a finite interval. Its unique largest positive definite solution coincides with the unique positive definite solution of a related discrete-time algebraic Riccati equation (DARE). We discuss how to use the butterfly SZ algorithm to solve the DARE. This approach is compared to several fixe
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Queiroz, Jonathan Araujo. "Solução geral da equação algébrica de Riccati Discreta utilizando estimador não quadrático e decomposição matricial aplicado no modelo em espaço de estado de um gerador eólico." Universidade Federal do Maranhão, 2016. http://tedebc.ufma.br:8080/jspui/handle/tede/1691.

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Submitted by Rosivalda Pereira (mrs.pereira@ufma.br) on 2017-06-23T21:14:46Z No. of bitstreams: 1 JonathanQueiroz.pdf: 631286 bytes, checksum: 2cab2a7d6e496bf574ddef1f49a77440 (MD5)<br>Made available in DSpace on 2017-06-23T21:14:46Z (GMT). No. of bitstreams: 1 JonathanQueiroz.pdf: 631286 bytes, checksum: 2cab2a7d6e496bf574ddef1f49a77440 (MD5) Previous issue date: 2016-03-08<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPQ)<br>The discrete Riccati algebraic equation has played an increasingly important role in optimal control theory and adaptive ltering. For this r
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Wang, Rui. "Distributed Cooperative Communications and Wireless Power Transfer." Digital WPI, 2018. https://digitalcommons.wpi.edu/etd-dissertations/62.

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In telecommunications, distributed cooperative communications refer to techniques which allow different users in a wireless network to share or combine their information in order to increase diversity gain or power gain. Unlike conventional point-to-point communications maximizing the performance of the individual link, distributed cooperative communications enable multiple users to collaborate with each other to achieve an overall improvement in performance, e.g., improved range and data rates. The first part of this dissertation focuses the problem of jointly decoding
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Rajasingam, Prasanthan. "Numerical Solution of the coupled algebraic Riccati equations." OpenSIUC, 2013. https://opensiuc.lib.siu.edu/theses/1323.

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In this paper we develop new and improved results in the numerical solution of the coupled algebraic Riccati equations. First we provide improved matrix upper bounds on the positive semidefinite solution of the unified coupled algebraic Riccati equations. Our approach is largely inspired by recent results established by Liu and Zhang. Our main results tighten the estimates of the relevant dominant eigenvalues. Also by relaxing the key restriction our upper bound applies to a larger number of situations. We also present an iterative algorithm to refine the new upper bounds and the lower bound
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Kawamoto, Atsushi. "Studies on Generalized Algebraic Riccati Equation for Descriptor Systems and Its Applications." Kyoto University, 1999. http://hdl.handle.net/2433/181816.

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Benner, P., and R. Byers. "Newtons method with exact line search for solving the algebraic Riccati equation." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800775.

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This paper studies Newton's method for solving the algebraic Riccati equation combined with an exact line search. Based on these considerations we present a Newton{like method for solving algebraic Riccati equations. This method can improve the sometimes erratic convergence behavior of Newton's method.
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Yang, Bole. "Algebraic Aspects of the Dispersionless Limit of the Discrete Nonlinear Schrödinger Equation." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/297064.

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We study the DNLS and its dispersionless limit based on a family of matrices, named after Cantero, Moral, and Velazquez (CMV). The work is an analog to that of the Toda lattice and dispersionless Toda. We rigorously introduce the constants of motion and matrix symbols of the dispersionless limit of the DNLS. The thesis is an algebraic preparation for some potential geometry setup in the continuum sense as the next step.
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Books on the topic "Discrete Algebraic Riccati Equation"

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Lancaster, Peter. Algebraic Riccati equations. Clarendon Press, 1995.

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Bruno, Iannazzo, and Meini B. (Beatrice), eds. Numerical solution of algebraic Riccati equations. Society for Industrial and Applied Mathematics, 2011.

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Banks, Stephen P. On an explicit solution of the distributed algebraic Riccati equation. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1992.

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Lasiecka, I. Differential and algebraic riccati equations with application to boundary/point control problems: Continuous theory and approximation theory. Springer-Verlag, 1991.

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1957-, Gurvits Leonid, and Banff International Research Station for Mathematics Innovation & Discovery, eds. Randomization, relaxation, and complexity in polynomial equation solving: Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, February 28--March 5, 2010, Banff, Ontario [i.e. Alberta], Canada. American Mathematical Society, 2011.

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Book chapters on the topic "Discrete Algebraic Riccati Equation"

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Lancaster, Peter, and Leiba Rodman. "Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review." In The Riccati Equation. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58223-3_2.

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Staffans, Olof J. "The Algebraic Riccati Equation in Discrete and Continuous Time." In Control and Estimation of Distributed Parameter Systems. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8849-3_20.

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Lerer, Leonid, and André C. M. Ran. "The Discrete Algebraic Riccati Equation and Hermitian Block Toeplitz Matrices." In A Panorama of Modern Operator Theory and Related Topics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0221-5_22.

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Ivanov, Ivan Ganchev. "Numerical Solution of the Discrete-Time Coupled Algebraic Riccati Equations." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00464-3_34.

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Meini, Beatrice. "Matrix Equations and Structures: Efficient Solution of Special Discrete Algebraic Riccati Equations." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45262-1_68.

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Sima, Vasile, and Peter Benner. "Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations." In Informatics in Control, Automation and Robotics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31993-9_7.

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Kučera, Vladimír. "Algebraic Riccati Equation: Hermitian and Definite Solutions." In The Riccati Equation. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58223-3_3.

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Trentelman, H. L., and Jan C. Willems. "The Dissipation Inequality and the Algebraic Riccati Equation." In The Riccati Equation. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58223-3_8.

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Bart, Harm, Marinus A. Kaashoek, and André C. M. Ran. "The symmetric algebraic Riccati equation." In A State Space Approach to Canonical Factorization with Applications. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8753-2_14.

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Freiling, G., and A. Hochhaus. "About a Generalized Algebraic Riccati Equation." In Analysis and Optimization of Differential Systems. Springer US, 2003. http://dx.doi.org/10.1007/978-0-387-35690-7_17.

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Conference papers on the topic "Discrete Algebraic Riccati Equation"

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Anjani, R. Zani, Salmah, and Ari Suparwanto. "Newton modification for solving discrete algebraic Riccati equation." In 2017 5th International Conference on Instrumentation, Control, and Automation (ICA). IEEE, 2017. http://dx.doi.org/10.1109/ica.2017.8068422.

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Kono, M., N. Takahashi, and M. Sakamoto. "Solvability of norm-type discrete algebraic Riccati equation." In 2003 European Control Conference (ECC). IEEE, 2003. http://dx.doi.org/10.23919/ecc.2003.7085145.

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Feng, Yantao, Brian D. O. Anderson, and Weitian Chen. "Solving discrete algebraic Riccati equations: A new recursive method." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5400097.

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Dongyan, Chen, and Bi Haiyun. "On Lower Bounds of the Solution of the Discrete Time Algebraic Riccati Equation." In 2007 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.4346818.

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Lyu, Xing-Long, Tiexiang Li, and Eric King-wah Chu. "Solving Large-scale Discrete-time Algebraic Riccati Equations by Doubling." In 2020 Chinese Control And Decision Conference (CCDC). IEEE, 2020. http://dx.doi.org/10.1109/ccdc49329.2020.9164680.

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"STRUCTURE-PRESERVING ALGORITHMS FOR DISCRETE-TIME ALGEBRAIC MATRIX RICCATI EQUATIONS." In 7th International Conference on Informatics in Control, Automation and Robotics. SciTePress - Science and and Technology Publications, 2010. http://dx.doi.org/10.5220/0003000101870192.

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Ferrante, Augusto, and Lorenzo Ntogramatzidis. "The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part II." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426829.

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Ferrante, Augusto, and Lorenzo Ntogramatzidis. "The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426833.

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Bi, Hai-yun, and Dong-yan Chen. "The estimation of the solutions matrix of the perturbed discrete time algebraic Riccati equation." In 2012 10th World Congress on Intelligent Control and Automation (WCICA 2012). IEEE, 2012. http://dx.doi.org/10.1109/wcica.2012.6358058.

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Ntogramatzidis, Lorenzo, and Augusto Ferrante. "On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation." In 2016 European Control Conference (ECC). IEEE, 2016. http://dx.doi.org/10.1109/ecc.2016.7810482.

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