6533b82cfe1ef96bd128ed24

RESEARCH PRODUCT

Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays

Shipei HuangHamid Reza KarimiZhengrong Xiang

subject

Input/outputSignal processingFinite-time stability; Impulsive systems; Input-output stability; Linear matrix inequality; State delays; Switched systems; Signal Processing; Applied MathematicsApplied MathematicsVDP::Technology: 500Linear systemLinear matrix inequalityImpulsive systemsState (functional analysis)Linear matrix inequalityStability (probability)State delaysSet (abstract data type)Input-output stabilityDiscrete time and continuous timeControl theoryFinite-time stabilitySignal Processingfinear matrix inequalitySwitched systemsMathematics

description

Published version of an article in the journal: Circuits, Systems, and Signal Processing. Also available from the publisher at: http://dx.doi.org/10.1007/s00034-013-9610-7 This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed results.

https://doi.org/10.1007/s00034-013-9610-7