Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1219.34102
De La Sen, M.
About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory. (English)
[J] Fixed Point Theory Appl. 2011, Article ID 867932, 19 p. (2011). ISSN 1687-1812/e

Summary: This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The investigation is performed via fixed point theory in a complete metric space by defining appropriate nonexpansive or contractive self-mappings from initial conditions to points of the state-trajectory solution. The existence of a unique fixed point leading to a globally asymptotically stable equilibrium point is investigated, in particular, under easily testable sufficiency-type stability conditions. The study is performed for both the uncontrolled case and the controlled case under a wide class of state feedback laws.

MSC 2000:: *34K37
34K06 Linear functional-differential equations
34K20 Stability theory of functional-differential equations
47N20 Appl. of operator theory to differential and integral equations
34K35 Functional-differential equations connected with control problems

Keywords: global stability; fixed point theory

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