|
|||||
|
|
Lyapunov stability analysis of higher-order 2-D systems |
|
| Authors: | C. Kojima P. Rapisarda K. Takaba |
| Affiliation: | 1.Department of Information Physics and Computing, Graduate School of Information Science and Technology,The University of Tokyo,Tokyo,Japan;2.Information: Signals, Images, Systems group, School of Electronics and Computer Science,University of Southampton,Southampton,UK;3.Department of Applied Mathematics and Physics, Graduate School of Informatics,Kyoto University,Kyoto,Japan |
| Abstract: | In this paper we prove a necessary and sufficient condition for the asymptotic stability of a 2-D system described by a system of higher-order linear partial difference equations. We show that asymptotic stability is equivalent to the existence of a vector Lyapunov functional satisfying certain positivity conditions together with its divergence along the system trajectories. We use the behavioral framework and the calculus of quadratic difference forms based on four-variable polynomial algebra. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |