Search results for "Continuous"

showing 10 items of 899 documents

2020

Nasal continuous positive airway pressure (NCPAP) devices using variable (vf-) and continuous (cf-) flow or synchronized nasal intermittent positive pressure ventilation (s-NIPPV) are used to prevent or treat intermittent hypoxia (IH) in preterm infants. Results concerning which is most effective vary. We aimed to investigate the effect of s-NIPPV and vf-NCPAP compared to cf-NCPAP on the rate of IH episodes. Preterm infants with a gestational age of 24.9–29.7 weeks presenting with IH while being treated with cf-NCPAP were monitored for eight hours, then randomized to eight hours of treatment with vf-NCPAP or s-NIPPV. Data from 16 infants were analyzed. Due to an unexpectedly low sample size…

Longitudinal studybusiness.industrymedicine.medical_treatmentGestational ageIntermittent hypoxiaRespiratory supportIntermittent positive pressure ventilationVery pretermSample size determinationAnesthesiaPediatrics Perinatology and Child HealthMedicineContinuous positive airway pressurebusinessChildren
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A construction of a fuzzy topology from a strong fuzzy metric

2016

<p>After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology induced by a fuzzy metric. In most of the works devoted to this subject the resulting topology is an ordinary, that is a crisp one. Recently some researchers showed interest in the fuzzy-type topologies induced by fuzzy metrics. In particular, in the paper  (J.J. Mi\~{n}ana, A. \v{S}ostak, {\it Fuzzifying topology induced by a strong fuzzy metric}, Fuzzy Sets and Systems,  6938 DOI information: 10.1016/j.fss.2015.11.005.) a fuzzifying topology ${\mathcal T}:2^X \to [0,1]$ …

Lowen $\omega$-functorFuzzy setfuzzy topology02 engineering and technologyFuzzy subalgebralcsh:AnalysisNetwork topology01 natural sciencesFuzzy logicCombinatorics0202 electrical engineering electronic engineering information engineeringFuzzifying topology0101 mathematicsTopology (chemistry)Lowen $\omega$-functor.MathematicsDiscrete mathematicsFuzzy topologylcsh:Mathematics010102 general mathematicsfuzzifying topologylower semicontinuous functionslcsh:QA299.6-433Fuzzy metricFuzzy pseudo metriclcsh:QA1-939Fuzzy topologyLower semicontinuous functionsFuzzy mathematicsMetric (mathematics)fuzzy metric020201 artificial intelligence & image processingGeometry and TopologyApplied General Topology
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Finite-Time H∞ Filtering for T-S Fuzzy Discrete-Time Systems with Time-Varying Delay and Norm-Bounded Uncertainties

2015

In this paper, we investigate the filtering problem of discrete-time Takagi–Sugeno (T–S) fuzzy uncertain systems subject to time-varying delays. A reduced-order filter is designed. With the augmentation technique, a filtering error system with delayed states is obtained. In order to deal with time delays in system states, the filtering error system is first transformed into two interconnected subsystems. By using a two-term approximation for the time-varying delay, sufficient delay-dependent conditions of finite-time boundedness and $H_{\infty }$ performance of the filtering error system are derived with the Lyapunov function. Based on these conditions, the filter design methods are propose…

Lyapunov function0209 industrial biotechnology02 engineering and technologyFuzzy logicsymbols.namesake020901 industrial engineering & automationControl theoryArtificial Intelligence0202 electrical engineering electronic engineering information engineeringFiltering problemnorm-bounded uncertaintieslinear matrix inequalities (LMIs)T-S fuzzy systemMathematicsApplied MathematicsFilter (signal processing)Finite-time boundednesstime delayFilter designH-infinity methods in control theoryDiscrete time and continuous timeComputational Theory and MathematicsControl and Systems EngineeringBounded functionsymbols020201 artificial intelligence & image processingHâ filteringFinite-time boundedness; H∞ filtering; linear matrix inequalities (LMIs); norm-bounded uncertainties; T-S fuzzy system; time delay; Control and Systems Engineering; Computational Theory and Mathematics; Artificial Intelligence; Applied Mathematics
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Input-to-state stability for discrete-time nonlinear switched singular systems

2016

Discrete-time nonlinear switched singular systems (SSSs) are investigated.The input-to-state stability (ISS) problems for discrete-time nonlinear SSSs are concerned.The ISS criteria are obtained via average dwell time approach and iterative algorithm of discrete-time systems.The switching rules are optimized and designed. This paper investigates the input-to-state stability (ISS) problems for a class of discrete-time nonlinear switched singular systems (SSSs). Two novel ISS criteria are proposed based on average dwell time (ADT) approach and iterative algorithm of discrete-time systems (IADS). In particular, the following two cases are considered for the underlying systems: the first case i…

Lyapunov function0209 industrial biotechnologyInformation Systems and ManagementIterative method02 engineering and technologyStability (probability)Theoretical Computer Sciencesymbols.namesake020901 industrial engineering & automationExponential stabilityControl theoryArtificial IntelligenceIterative algorithm0202 electrical engineering electronic engineering information engineeringMathematicsSwitched singular systemInput-to-state stabilityProcess (computing)Computer Science Applications1707 Computer Vision and Pattern RecognitionAverage dwell time; Discrete-time system; Input-to-state stability; Iterative algorithm; Nonlinear system; Switched singular system; Control and Systems Engineering; Theoretical Computer Science; Software; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and Management; Artificial IntelligenceComputer Science ApplicationsNonlinear systemDwell timeDiscrete time and continuous timeDiscrete-time systemControl and Systems EngineeringsymbolsNonlinear system020201 artificial intelligence & image processingAverage dwell timeSoftware
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Theory of Differential Inclusions and Its Application in Mechanics

2017

The following chapter deals with systems of differential equations with discontinuous right-hand sides. The key question is how to define the solutions of such systems. The most adequate approach is to treat discontinuous systems as systems with multivalued right-hand sides (differential inclusions). In this work, three well-known definitions of solution of discontinuous system are considered. We will demonstrate the difference between these definitions and their application to different mechanical problems. Mathematical models of drilling systems with discontinuous friction torque characteristics are considered. Here, opposite to classical Coulomb symmetric friction law, the friction torqu…

Lyapunov function0209 industrial biotechnologyWork (thermodynamics)Mathematical modelDifferential equationMathematical analysis02 engineering and technologyDiscontinuous systems01 natural sciencessymbols.namesake020901 industrial engineering & automationDifferential inclusion0103 physical sciencesCoulombsymbols010301 acousticsFriction torqueMathematics
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Invariant varieties of discontinuous vector fields

2004

We study the geometric qualitative behaviour of a class of discontinuous vector fields in four dimensions around typical singularities. We are mainly interested in giving the conditions under which there exist one-parameter families of periodic orbits (a result that can be seen as one analogous to the Lyapunov centre theorem). The focus is on certain discontinuous systems having some symmetric properties. We also present an algorithm which detects and computes periodic orbits.

Lyapunov functionApplied MathematicsMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsDiscontinuous systemssymbols.namesakeSingularitysymbolsPeriodic orbitsGravitational singularityVector fieldInvariant (mathematics)Mathematical PhysicsMathematicsNonlinearity
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Sliding Intermittent Control for BAM Neural Networks with Delays

2013

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/615947 Open Access This paper addresses the exponential stability problem for a class of delayed bidirectional associative memory (BAM) neural networks with delays. A sliding intermittent controller which takes the advantages of the periodically intermittent control idea and the impulsive control scheme is proposed and employed to the delayed BAM system. With the adjustable parameter taking different particular values, such a sliding intermittent control method can comprise several kinds of control schemes as special cases, such as the continuou…

Lyapunov functionArticle SubjectArtificial neural networklcsh:MathematicsApplied MathematicsIntermittent controllcsh:QA1-939symbols.namesakeExponential stabilityControl theorysymbolsContinuous feedbackBidirectional associative memoryVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411AnalysisMathematics
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Semiglobal practical integral input-to-state stability for a family of parameterized discrete-time interconnected systems with application to sampled…

2015

Abstract Semiglobal practical integral input-to-state stability (SP-iISS) for a feedback interconnection of two discrete-time subsystems is given. We construct a Lyapunov function from the sum of nonlinearly-weighted Lyapunov functions of individual subsystems. In particular, we consider two main cases. The former gives SP-iISS for the interconnected system when both subsystems are semiglobally practically integral input-to-state stable. The latter investigates SP-iISS for the overall system when one of subsystems is allowed to be semiglobally practically input-to-state stable. Moreover, SP-iISS for discrete-time cascades and a feedback interconnection including a semiglobally practically i…

Lyapunov functionController designInterconnectionParameterized complexityState (functional analysis)Stability (probability)Computer Science Applicationssymbols.namesakeDiscrete time and continuous timeControl and Systems EngineeringControl theoryData controlsymbolsAnalysisMathematicsNonlinear Analysis: Hybrid Systems
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Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps

2014

This paper is concerned with stochastic finite-time boundedness analysis for a class of uncertain discrete-time neural networks with Markovian jump parameters and time-delays. The concepts of stochastic finite-time stability and stochastic finite-time boundedness are first given for neural networks. Then, applying the Lyapunov approach and the linear matrix inequality technique, sufficient criteria on stochastic finite-time boundedness are provided for the class of nominal or uncertain discrete-time neural networks with Markovian jump parameters and time-delays. It is shown that the derived conditions are characterized in terms of the solution to these linear matrix inequalities. Finally, n…

Lyapunov functionDiscrete-time systems; Linear matrix inequalities; Markovian jump systems; Neural networks; Stochastic finite-time boundedness; Artificial Intelligence; Computer Science Applications1707 Computer Vision and Pattern Recognition; Cognitive NeuroscienceArtificial neural networkMarkov chainStochastic processCognitive NeuroscienceMarkovian jump systemsLinear matrix inequalitiesLinear matrix inequalityComputer Science Applications1707 Computer Vision and Pattern RecognitionComputer Science Applicationssymbols.namesakeDiscrete time and continuous timeArtificial IntelligenceDiscrete-time systemssymbolsCalculusApplied mathematicsStochastic neural networkJump processNeural networksStochastic finite-time boundednessMathematics
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Stability analysis and H∞ controller synthesis of discrete-time switched systems with time delay

2014

Abstract This paper studies the problems of stability analysis and H ∞ controller synthesis of switched systems with time-varying delay based on an input–output approach. The attention is focused on developing a new method to further reduce the conservatism of the existing results. The system under consideration is transformed into an interconnection system, and the scaled small gain condition for the interconnection systems is introduced. Based on the system transformation and the scaled small gain theorem, an improved delay-dependent stability criterion is proposed such that the interconnection system is asymptotically stable, which is also proved to guarantee the asymptotic stability of …

Lyapunov functionGeneral Computer ScienceStability criterionMechanical Engineeringsymbols.namesakeSmall-gain theoremDiscrete time and continuous timeExponential stabilityControl and Systems EngineeringControl theoryStability theoryConvex optimizationsymbolsElectrical and Electronic EngineeringMathematicsSystems & Control Letters
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