Search results for " delay-dependent"

showing 2 items of 2 documents

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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Robust delay-dependent H∞ control of uncertain time-delay systems with mixed neutral, discrete, and distributed time-delays and Markovian switching p…

2011

Author's version of an article published in the journal: IEEE Transactions on Circuits and Systems I: Regular Papers. Also available from the publisher at: http://dx.doi.org/10.1109/tcsi.2011.2106090 The problem of robust mode-dependent delayed state feedback H ∞ control is investigated for a class of uncertain time-delay systems with Markovian switching parameters and mixed discrete, neutral, and distributed delays. Based on the LyapunovKrasovskii functional theory, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities for the stochastic stability and stabilization of the considered system using some free matrices. The desired control is …

delay systems H∞ control linear matrix inequalities Markov processes uncertain systems delay-dependent delayed state feedback distributed delays Lyapunov-Krasovskii functionals Markovian switching numerical example Stochastic stability and stabilization sufficient conditions uncertain time-delay system control system stability convex optimization delay control systems stabilization state feedback switching systems time delay uncertainty analysis discrete time control systemsVDP::Technology: 500::Mechanical engineering: 570VDP::Mathematics and natural science: 400::Mathematics: 410
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