𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems

✍ Scribed by Qiang Guan; Long Wang; BiCan Xia; Lu Yang; WenSheng Yu; ZhenBing Zeng


Book ID
107357270
Publisher
Science in China Press (SCP)
Year
2007
Tongue
English
Weight
648 KB
Volume
50
Category
Article
ISSN
1674-733X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Solution to the β€œChampagne problem” on t
✍ Vijay V. Patel πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 66 KB

In this paper, the problem proposed in Blondel et al. (SIAM J. Optim. 32 (2) 572-590) as an illustration of the di culty of the simultaneous stabilization problem has been solved. The same problem was also mentioned in Blondel and Gevers (Math. Control, Signals, Systems 6 (1994) 135-145), where a bo

Rank-one LMI approach to simultaneous st
✍ Didier Henrion; Sophie Tarbouriech; Michael Ε ebek πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 110 KB

Following a polynomial approach to control design, the simultaneous stabilization by a controller of given ΓΏxed order of a family of SISO linear systems is interpreted as an NP-hard BMI feasibility problem. Upon formulating this BMI problem as an LMI problem with an additional non-convex rank constr

On the simultaneous diagonal stability o
✍ Tatsushi Ooba; Yasuyuki Funahashi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 98 KB

This paper studies the set of time-invariant linear discrete-time systems in which each system has a diagonal quadratic Lyapunov function. First, it is shown that there is generally no common diagonal quadratic Lyapunov function for such a set of systems even if the set is assumed to be commutative.