Parallelizability of control systems
| Autor: | Josiney A. Souza |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Parallelizable manifold Dynamical systems theory Applied Mathematics 010102 general mathematics 02 engineering and technology 01 natural sciences Controllability Algebra 020901 industrial engineering & automation Control and Systems Engineering Control system Signal Processing Affine transformation 0101 mathematics Invariant (mathematics) Control (linguistics) Commutative property Mathematics |
| Zdroj: | Mathematics of Control, Signals, and Systems. 33:259-278 |
| ISSN: | 1435-568X 0932-4194 |
| DOI: | 10.1007/s00498-021-00279-x |
| Popis: | This manuscript presents a notion of parallelizability of control systems. Parallelizability is a well-known concept of dynamical systems that associates with complete instability and dispersiveness. The concept of dispersiveness has been successfully interpreted in the setup of control systems. This naturally asks about the meaning of a parallelizable control system. The answer can be given in the setting of control affine systems by evoking their control flows. The main result shows that a parallelizable control flow characterizes a dispersive control affine system. The dispersiveness is then equivalent to the existence of a functional with infinite limit at infinity. The results of the paper contribute to the controllability studies, since dispersive control systems admit no control set. For invariant control systems with commutative vector fields, null trace representative matrices are a necessary condition for the existence of control set. |
| Databáze: | OpenAIRE |
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