Stabilization of positive nonlinear systems on time scales
| Autor: | Zbigniew Bartosiewicz |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
010102 general mathematics Linear system 02 engineering and technology Function (mathematics) 01 natural sciences Nonlinear system 020901 industrial engineering & automation Control theory Linearization Control system Bounded function Trajectory 0101 mathematics Mathematics |
| Zdroj: | CDC |
| Popis: | Positive stabilization of a positive nonlinear system means feedback stabilization that preserves positivity of the system. It is shown that a positive nonlinear system on a time scale with bounded graininess function is positively stabilizable if its linearization is positively stabilizable with a feedback that preserves positivity of the nonlinear system. It is also proved that linearization preserves positivity of control systems. Positive stabilization of a linear positive system is a much easier task than positive stabilization of a nonlinear system, so the result presented in the paper may be used to positively stabilize nonlinear systems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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