Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0986.93043
Savkin, Andrey V.; Matveev, Alexey S.
Cyclic linear differential automata: A simple class of hybrid dynamical systems. (English)
[J] Automatica 36, No.5, 727-734 (2000). ISSN 0005-1098

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.
[T.Riismaa (Tallinn)]

MSC 2000:: *93C65 Discrete event systems
93D20 Asymptotic stability of control systems
93C55 Discrete-time control systems
37B15 Cellular automata

Keywords: limit cycles; manufacturing systems; logic controllers; hybrid dynamical systems; cyclic linear differential automata; linear discrete-time system; attractor; periodic trajectory; global stability

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]