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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Masubuchi, I. |
| Copyright Year | 2009 |
| Description | Author affiliation: Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi 739-8527, Japan (Masubuchi, I.) |
| Abstract | This paper considers local stability analysis of nonlinear systems with deriving a positively invariant set based on Rantzer's stability theory by using density functions. We define notion of locally defined density functions around an equilibrium that give monotonously increasing positive measures near the equilibrium of a nonlinear system. Under several assumptions, it is shown that some level set of a locally defined density function is a positively invariant set where almost all of the system trajectories converge to the equilibrium. |
| Starting Page | 2454 |
| Ending Page | 2457 |
| File Size | 163969 |
| Page Count | 4 |
| File Format | |
| ISBN | 9784907764340 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-08-18 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | SICE |
| Subject Keyword | Stability analysis Nonlinear systems Density functional theory Level set Lyapunov method State-space methods Density measurement State feedback Nonlinear control systems Control systems density functions stability analysis positively invariant sets |
| Content Type | Text |
| Resource Type | Article |
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