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
Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems
β 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
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π SIMILAR VOLUMES
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
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.