𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Common Lyapunov function approach to matrix root clustering

✍ Scribed by T. Mori; Y. Mori; H. Kokame

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
111 KB
Volume
44
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

This paper proposes an alternative route to the matrix root clustering problem, which enables to use a result on the common Lyapunov function for solving the problem e ciently. A necessary and su cient condition is obtained in terms of the existence of a common positive deΓΏnite solution to a set of Lyapunov inequalities for eigenvalues of a matrix to lie in a prescribed subregion of the complex plane. Applications to root clustering in sector regions are shown for illustration.

πŸ“œ SIMILAR VOLUMES

Transfer function matrix approach to dec
Transfer function matrix approach to decoupling problem with stability
✍ Qing-Guo Wang; Yongsheng Yang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 127 KB

A simple necessary and su cient condition for solvability of decoupling with internal stability for unity output feedback for non-singular plants is proposed.

Approach to Equilibrium for the Coagulat
Approach to Equilibrium for the Coagulation–Fragmentation Equation via a Lyapunov Functional
✍ I. W. Stewart; P. B. Dubovskiǐ πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 624 KB

## Communicated by E. Meister It is shown that the non-linear coagulation-fragmentation equation with constant kernels has a unique equilibrium solution. This equilibrium solution is given explicitly in terms of the initial data and the kernels. Weak L' convergence of time-dependent solutions to t