Abstract
This paper firstly presents the estimation on the region of asymptotic stability (RAS) of nonlinear polynomial systems with linear and quadratic or linear and cubic forms for engineering applications. The estimations on RAS are then discussed for general nonlinear systems with linear, quadratic, cubic, and other forms. Using Lyapunov function approach, a closed-form estimation on RAS is derived in terms of quadratic functions. Computer simulation is provided to illustrate the new results of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 409-430 |
| Number of pages | 22 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 17 |
| Issue number | 3 |
| State | Published - 2010 |
Keywords
- Lyapunov function methods
- Nonlinear polynomial systems
- Nonlinear systems
- Regions of asymptotical stability
- Simulation