Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1204.34094
De La Sen, M.
Global stability of polytopic linear time-varying dynamic systems under time-varying point delays and impulsive controls. (English)
[J] Math. Probl. Eng. 2010, Article ID 693958, 33 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: This paper investigates the stability properties of a class of dynamic linear systems possessing several linear time-invariant parameterizations (or configurations) which conform a linear time-varying polytopic dynamic system with a finite number of time-varying time-differentiable point delays. The parameterizations may be timevarying and with bounded discontinuities and they can be subject to mixed regular plus impulsive controls within a sequence of time instants of zero measure. The polytopic parameterization for the dynamics associated with each delay is specific, so that $(q+1)$ polytopic parameterizations are considered for a system with $q$ delays being also subject to delay-free dynamics. The considered general dynamic system includes, as particular cases, a wide class of switched linear systems whose individual parameterizations are time-invariant which are governed by a switching rule. However, the dynamic system under consideration is viewed as much more general since it is time-varying with time-varying delays and the bounded discontinuous changes of active parameterizations are generated by impulsive controls in the dynamics and, at the same time, there is not a prescribed set of candidate potential parameterizations.

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K35 Functional-differential equations connected with control problems
34K45 Equations with impulses
34N05

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