Abstract
A new parametric frequency response algorithm is introduced to investigate linear and non-linear dynamic systems with time-varying parameters. In the new algorithm the time-varying parameters are regarded as additional inputs of the systems and the non-linear generalised frequency response functions for multi-input-single-output systems are then employed to obtain Zadeh's system functions from a differential equation representation. The parametric frequency response method reveals how the time-varying parameters affect the behaviour of the systems through a time-varying term. The new method can be applied to both linear and non-linear time-varying systems.
| Original language | English |
|---|---|
| Pages (from-to) | 2133-2144 |
| Number of pages | 12 |
| Journal | International Journal of Systems Science |
| Volume | 45 |
| Issue number | 10 |
| DOIs | |
| State | Published - 3 Oct 2014 |
| Externally published | Yes |
Keywords
- Zadeh's system function
- frequency domain
- parametric frequency response method
- time-varying systems
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