Name
Abstract | ||
|---|---|---|
In this note, a discrete-time modified algebraic Riccati equation (MARE) is investigated. First, the analytic solutions of the homogeneous MARE for controllable single-input systems are explicitly obtained in terms of the system eigenvalues. For anti-Schur systems, the stabilizing, and positive definite solution is proposed. Furthermore, the maximal solution and the solution bound are analyzed for the nonhomogeneous MARE. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1109/TAC.2017.2697076 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Eigenvalues and eigenfunctions,Partitioning algorithms,Riccati equations,Optimal control,Electronic mail,Symmetric matrices | Mathematical optimization,Optimal control,Homogeneous,Positive-definite matrix,Symmetric matrix,Riccati equation,Algebraic Riccati equation,Linear-quadratic regulator,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 9 | 0018-9286 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liangyin Zhang | 1 | 0 | 0.34 |
| Michael Z. Q. Chen | 2 | 834 | 41.20 |
| Chanying Li | 3 | 63 | 8.44 |