Search results for "Finite-time stability"

showing 2 items of 2 documents

Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay

2014

This paper is concerned with the problems of finite-time stability FTS and finite-time stabilisation for a class of nonlinear systems with time-varying delay, which can be represented by Takagi–Sugeno fuzzy system. Some new delay-dependent FTS conditions are provided and applied to the design problem of finite-time fuzzy controllers. First, based on an integral inequality and a fuzzy Lyapunov–Krasovskii functional, a delay-dependent FTS criterion is proposed for open-loop fuzzy system by introducing some free fuzzy weighting matrices, which are less conservative than other existing ones. Then, the parallel distributed compensation controller is designed to ensure FTS of the time-delay fuzzy…

0209 industrial biotechnologyEngineeringfinite-time stabilisation; finite-time stability; fuzzy control; nonlinear system; time-delay system; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionStability (learning theory)fuzzy controltime-delay system02 engineering and technologynonlinear systemFuzzy logicCompensation (engineering)Theoretical Computer Science020901 industrial engineering & automationControl theory0202 electrical engineering electronic engineering information engineeringfinite-time stabilisationfinite-time stabilityAdaptive neuro fuzzy inference systembusiness.industryComputer Science Applications1707 Computer Vision and Pattern RecognitionFuzzy control systemComputer Science ApplicationsWeightingNonlinear systemControl and Systems Engineering020201 artificial intelligence & image processingbusiness
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Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays

2013

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.

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 systemsMathematicsCircuits, Systems, and Signal Processing
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