Search results for "Delay-dependent stability"

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New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates

2015

This paper investigates the delay-dependent stability problem for neutral Markovian jump systems with generally unknown transition rates GUTRs. In this neutral GUTR model, each transition rate is completely unknown or only its estimate value is known. Based on the study of expectations of the stochastic cross-terms containing the integral, a new stability criterion is derived in terms of linear matrix inequalities. In the mathematical derivation process, bounding stochastic cross-terms, model transformation and free-weighting matrix are not employed for less conservatism. Finally, an example is provided to demonstrate the effectiveness of the proposed results.

0209 industrial biotechnologygeneral uncertain transition rateStability criterionModel transformationDelay-dependent stability02 engineering and technologyTransition rate matrixStability (probability)neutral-type stochastic systemTheoretical Computer ScienceDelay dependentMatrix (mathematics)Markovian jump020901 industrial engineering & automationControl theoryBounding overwatch0202 electrical engineering electronic engineering information engineeringApplied mathematicsMathematicscomputer.programming_languageDelay-dependent stability; neutral-type stochastic system;Markovian switching; general uncertain transition rate; mean-square exponentially stable; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionMarkovian switchingComputer Science Applications1707 Computer Vision and Pattern RecognitionComputer Science ApplicationsControl and Systems Engineeringmean-square exponentially stable020201 artificial intelligence & image processingcomputerInternational Journal of Systems Science
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Stability and l1-gain analysis for positive 2D T–S fuzzy state-delayed systems in the second FM model

2014

This paper considers the problems of delay-dependent stability and l"1-gain analysis for a class of positive two-dimensional (2D) Takagi-Sugeno (T-S) fuzzy linear systems with state delays described by the second FM model. Firstly, the co-positive type Lyapunov function method is applied to establish sufficient conditions of asymptotical stability for the addressed positive 2D T-S fuzzy system. Then, the l"1-gain performance analysis for the positive 2D T-S fuzzy delayed system is studied. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the p…

Positive 2D systemsLyapunov functionT-S fuzzy systemsCognitive NeuroscienceLinear systemLinear matrix inequalityDelay-dependent stabilityComputer Science Applications1707 Computer Vision and Pattern RecognitionFuzzy control systemState (functional analysis)Fuzzy logicStability (probability)Computer Science Applicationssymbols.namesakeArtificial IntelligenceControl theorysymbolsCo-positive type Lyapunov functionFuzzy numberCo-positive type Lyapunov function; Delay-dependent stability; Positive 2D systems; T-S fuzzy systems; Computer Science Applications1707 Computer Vision and Pattern Recognition; Cognitive Neuroscience; Artificial IntelligenceMathematicsNeurocomputing
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