Cyclic linear differential automata: A simple class of hybrid dynamical systems (Q1974006)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Cyclic linear differential automata: A simple class of hybrid dynamical systems |
scientific article; zbMATH DE number 1441460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic linear differential automata: A simple class of hybrid dynamical systems |
scientific article; zbMATH DE number 1441460 |
Statements
Cyclic linear differential automata: A simple class of hybrid dynamical systems (English)
0 references
13 June 2002
0 references
A special class of hybrid dynamical systems, cyclic linear differential automata (CLDA), is introduced. It is shown that any CLDA can be reduced to a linear discrete-time system with periodic coefficients. Any CLDA has no equilibrium points. Therefore, the simplest attractor in such a system is a periodic trajectory. The CLDA is called globally stable if it has a periodic trajectory that attracts all other trajectories of the system. A necessary and sufficient condition for global stability of CLDA is given.
0 references
limit cycles
0 references
manufacturing systems
0 references
logic controllers
0 references
hybrid dynamical systems
0 references
cyclic linear differential automata
0 references
linear discrete-time system
0 references
attractor
0 references
periodic trajectory
0 references
global stability
0 references
0 references
0 references
0 references
