Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1183.70039
Xu, Shiyun; Yang, Ying
Global asymptotical stability and generalized synchronization of phase synchronous dynamical networks. (English)
[J] Nonlinear Dyn. 59, No. 3, 485-496 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: This paper examines the global asymptotical stability of the phase synchronous dynamical networks composed by a class of nonlinear pendulum-like systems with multiple equilibria. Sufficient conditions for the determination of global asymptotical stability are given in terms of linear matrix inequalities (LMIs). Furthermore, a concept of generalized synchronization is introduced, and the criterion of which is proposed in a simple form. Those results are of particular convenience for networks that possess large numbers of nodes, and they can be used to discuss controller design problems as well. Numerical simulations and analytical results are in excellent agreement with each other.

MSC 2000:: *70K20 Stability of nonlinear oscillations (general mechanics)
93D20 Asymptotic stability of control systems

Keywords: dynamical networks; multiple equilibria; global asymptotical stability; phase synchronization; LMI

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]