A survey of recursive algorithms for the solution of the discrete time Riccati Equation

DOI10.1016/S0362-546X(97)00062-XzbMath0888.93022OpenAlexW1990069045MaRDI QIDQ4374196

Sokratis K. Katsikas, Nicholas Assimakis, F. L. Sanida, Demetrios G. Lainiotis

Publication date: 10 May 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00062-x

zbMATH Keywords

convergenceestimationcomputational methodsKalman filterfilteringRiccati equationdiscrete-timesteady statedoubling algorithmLainiotis filtergeneral Chandrasekhar algorithm

Mathematics Subject Classification ID

Related Items (4)

Fast iterative solutions of Riccati and Lyapunov equations ⋮ Iterative and algebraic algorithms for the computation of the steady state Kalman filter gain ⋮ Kalman filter Riccati equation for the prediction, estimation, and smoothing error covariance matrices ⋮ Nonrecursive solution for the discrete algebraic Riccati equation and \(X + \mathcal A^\ast X^{-1}\mathcal A=L\)

Cites Work

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• Discrete Riccati-equation solutions: generalized partitioned algorithms
• Partitioned estimation algorithms. II: Linear estimation
• Scattering theory and linear least squares estimation. II: Discrete-time problems
• A unifying framework for linear estimation: Generalized partitioned algorithms
• Nonsymmetric Riccati equations: partitioned algorithms
• New doubling algorithm for the discrete periodic Riccati equation
• A new computationally effective algorithm for solving the discrete Riccati equation
• Estimation: A brief survey
• Numerical integration of the differential matrix Riccati equation
• Partitioned linear estimation algorithms: Discrete case
• Discrete Riccati equation solutions: Partitioned algorithms
• Generalized Chandrasekhar algorithms: Time-varying models
• Some new algorithms for recursive estimation in constant linear systems
• Partitioned Ricatti solutions and integration-free doubling algorithms
• Numerical experiments in linear control theory using generalized<tex>X - Y</tex>equations
• Adaptive deconvolution of seismic signals-performance, computational analysis, parallelism
• Some new algorithms for recursive estimation in constant, linear, discrete-time systems
• Matrix Quadratic Solutions
• A class of upper bounds on probability of error for multihypotheses pattern recognition (Corresp.)
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
• Optimal non-linear estimation†
• Weighted least squares stationary approximations to linear systems
• The numerical solution of the matrix Riccati differential equation
• Observer theory for delayed differential equations

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