Riccati {dse} R Documentation

## Riccati Equation

### Description

Solve a Matrix Riccati Equation

### Usage

    Riccati(A, B, fuzz=1e-10, iterative=FALSE)


### Arguments

 A A matrix. B A matrix. fuzz The tolerance used for testing convergence. iterative If TRUE an iterative solution technique is used.

### Details

Solve Riccati equation P = APA' + B by eigenvalue decompostion of a symplectic matrix or by iteration.

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### Note

This procedure has not been tested.

### References

Vaccaro, R. J. and Vukina, T. (1993), A Solution to the Positivity Problem in the State-Space Approach to Modeling Vector-Valued Time Series. Journal of Economic Dynamics and Control, 17, 401–421.

Anderson, B. D. O. and Moore, J. B. (1979) Optimal Filtering. Prentice-Hall. (note sec 6.7.)

Vaughan, D. (1970) A Nonrecursive Algebraic Solution for the Discrete Riccati Equation. IEEE Tr AC, 597–599.

Laub, A. J. (1983) Numerical Aspects of Solving Algebraic Riccati Equations Proc IEEE conf Decision and Control, 183–186.

Gudmundsson T., Kenney, C., and Laub, A. J. (1992) Scaling of the Discrete-Time Algebraic Riccati Equation to Enhance Stability of the Schur Solution Method IEEE Tr AC, 37, 513–518.

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