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)