Abstract
The present paper discusses a linearization method for second order multidimensional time-invariant systems. The method approximates locally the nonlinear vector field around the equilibrium, where the solution starting from a given initial state near the equilibrium is approximated by a linear solution. This linearization is usually called local trajectory-based linearization. The approximation is computed using an iterative method, which consists of successive approximations in the least square sense, Using a numerical example, it is shown that the linearized solutions exhibit good agreement with the nonlinear solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 79-88 |
| Number of pages | 10 |
| Journal | Computer Physics Communications |
| Volume | 162 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Sept 15 2004 |
| Externally published | Yes |
Keywords
- Approximation of solutions
- Least square linearization
- Multi-dimensional differential equations
- Nonlinear systems
- Optimal linearization
ASJC Scopus subject areas
- Hardware and Architecture
- Physics and Astronomy(all)