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- Eric King-Wah Chu, Hung-Yuan Fan, Wen-Wei Lin
- SIAM J. Matrix Analysis Applications
- 2007

From the necessary and sufficient conditions for complete reachability and observability of periodic descriptor systems with time-varying dimensions, the symmetric positive semidefinite… (More)

- Eric King-Wah Chu
- Systems & Control Letters
- 2007

We propose an algorithm for the state-feedback pole assignment problem. The algorithm is the first of its kind, making direct use of the Schur form, and minimizing the departure from normality of the… (More)

- Eric King-Wah Chu
- SIAM J. Matrix Analysis Applications
- 2003

In earlier papers, the Bauer–Fike technique [F. L. Bauer and C. T. Fike, Numer. Math., 2 (1960), pp. 137–144] was applied to the eigenvalue problem Ax = λx [E. K.-W. Chu, Numer. Math., 49 (1986), pp.… (More)

- Chun-Yueh Chiang, Eric King-Wah Chu, Chun-Hua Guo, Tsung-Ming Huang, Wen-Wei Lin, Shu-Fang Xu
- SIAM J. Matrix Analysis Applications
- 2009

In this paper, we review two types of doubling algorithm and some techniques for analyzing them. We then use the techniques to study the doubling algorithm for three different nonlinear matrix… (More)

In Chu (Syst Control Lett 56:303–314, 2007), the pole assignment problem was considered for the control system _ x 1⁄4 Axþ Bu with linear statefeedback u 1⁄4 Fx: An algorithm using the Schur form has… (More)

In earlier papers, the Bauer–Fike technique was applied to the ordinary eigenvalue problem Ax = λx, the generalized eigenvalue problemAx = λBx and the matrix polynomial eigenvalue problem ∑m k=0 λAkx… (More)

- Tie-xiang Li, Eric King-Wah Chu
- Numerical Lin. Alg. with Applic.
- 2013

We consider the pole assignment problems for time-invariant linear and quadratic control systems, with time-delay in the control. Closed-loop eigenvectors inX D Œx1, x2, are chosen from their… (More)

We consider the solution of large-scale discrete-time algebraic Riccati equations with numerically low-ranked solutions. The structure-preserving doubling algorithm will be adapted, with the iterates… (More)

Article history: Received 18 January 2010 Accepted 25 August 2010 Submitted by V. Mehrmann AMS classification: 15A24 45G10 45J05 65H10 65R20 65Z05 82D75

In the second-half of the last century, the development of systems and control theory, together with the achievements of digital control and signal processing, has set the stage for renewed interest… (More)