Robust Stability Criteria of Roesser‐Type Discrete‐Time Two‐Dimensional Systems with Parameter Uncertainties

Yan Zhao, Tieyan Zhang, Dan Zhao, Fucai You and Miao Li

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with robust stability analysis of uncertain Roesser‐type discrete‐time two‐dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so‐called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser‐type discrete‐time 2D systems in terms of linear matrix inequalities. Indeed, a parameter‐dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/159745

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:159745

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().