6533b7cffe1ef96bd12586c6

RESEARCH PRODUCT

Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model

Zhengrong XiangHamid Reza KarimiZhaoxia Duan

subject

Information Systems and Management2D system; Exponential stability; Positive switched system; Stabilization; Time delay; Artificial Intelligence; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and ManagementComputer Science Applications1707 Computer Vision and Pattern RecognitionState (functional analysis)Linear matrixExponential stabilityStabilizationComputer Science ApplicationsTheoretical Computer Science2D systemDelay dependentExponential stabilizationPositive switched systemExponential stabilityArtificial IntelligenceControl and Systems EngineeringControl theoryFull state feedbackTime delaySoftwareMathematics

description

This paper deals with the controller synthesis for a class of positive two-dimensional (2D) switched delay systems described by the Roesser model. This kind of systems has the property that the states take nonnegative values whenever the initial boundaries are nonnegative, some delay-dependent sufficient conditions for the exponential stability of positive 2D switched systems with state delays are given. Furthermore, the design of positive state feedback controller under which the resulting closed-loop system meets the requirements of positivity and exponential stability is presented in terms of linear matrix inequalities (LMIs). An example is included to illustrate the effectiveness of the proposed approach.

yearjournalcountryeditionlanguage
2014-07-01Information Sciences
https://doi.org/10.1016/j.ins.2014.02.121