Search results for "Switched system"

showing 10 items of 11 documents

Stability analysis for stochastic hybrid systems: A survey

2014

This survey addresses stability analysis for stochastic hybrid systems (SHS), which are dynamical systems that combine continuous change and instantaneous change and that also include random effects. We re-emphasize the common features found in most of the models that have appeared in the literature, which include stochastic switched systems, Markov jump systems, impulsive stochastic systems, switching diffusions, stochastic impulsive systems driven by renewal processes, diffusions driven by Lévy processes, piecewise-deterministic Markov processes, general stochastic hybrid systems, and stochastic hybrid inclusions. Then we review many of the stability concepts that have been studied, inclu…

Lyapunov functionLyapunov stabilityContinuous-time stochastic processLyapunov functionDynamical systems theoryStochastic differential equationMarkov chainStochastic stabilityConverse theoremStochastic hybrid systemsymbols.namesakeStochastic differential equationSettore ING-INF/04 - AutomaticaControl and Systems EngineeringControl theoryHybrid systemStability theorysymbolsSwitching diffusionStochastic optimizationElectrical and Electronic EngineeringRobustnessStochastic switched systemMathematics
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Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model

2014

This paper deals with the controller synthesis for a class of positive two-dimensional (2D) switched delay systems described by the Roesser model. This kind of systems has the property that the states take nonnegative values whenever the initial boundaries are nonnegative, some delay-dependent sufficient conditions for the exponential stability of positive 2D switched systems with state delays are given. Furthermore, the design of positive state feedback controller under which the resulting closed-loop system meets the requirements of positivity and exponential stability is presented in terms of linear matrix inequalities (LMIs). An example is included to illustrate the effectiveness of the…

Information Systems and Management2D system; Exponential stability; Positive switched system; Stabilization; Time delay; Artificial Intelligence; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and ManagementComputer Science Applications1707 Computer Vision and Pattern RecognitionState (functional analysis)Linear matrixExponential stabilityStabilizationComputer Science ApplicationsTheoretical Computer Science2D systemDelay dependentExponential stabilizationPositive switched systemExponential stabilityArtificial IntelligenceControl and Systems EngineeringControl theoryFull state feedbackTime delaySoftwareMathematicsInformation Sciences
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Asynchronous L1 control of delayed switched positive systems with mode-dependent average dwell time

2014

Abstract This paper investigates the stability and asynchronous L 1 control problems for a class of switched positive linear systems (SPLSs) with time-varying delays by using the mode-dependent average dwell time (MDADT) approach. By allowing the co-positive type Lyapunov–Krasovskii functional to increase during the running time of active subsystems, a new stability criterion for the underlying system with MDADT is first derived. Then, the obtained results are extended to study the issue of asynchronous L 1 control, where “asynchronous” means that the switching of the controllers has a lag with respect to that of system modes. Sufficient conditions are provided to guarantee that the resulti…

Asynchronous switchingInformation Systems and ManagementAsynchronous switching; Average dwell time; Positive system; Switched system; Time-varying delay; Artificial Intelligence; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and ManagementStability criterionComputer scienceLinear systemPositive systemComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsTime-varying delayStability (probability)Computer Science ApplicationsTheoretical Computer ScienceDwell timeExponential stabilityArtificial IntelligenceControl and Systems EngineeringControl theoryAsynchronous communicationAverage dwell timeSwitched systemSoftwareInformation Sciences
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Robust fault detection for switched systems with time-varying delay using delta operator approach

2014

delta operatorControl and Systems EngineeringControl theoryfault detection observersswitched systemstime-varying delaysControl engineeringDelta operatordelta operator; fault detection observers; switched Lyapunov function; switched systems; time-varying delays; Control and Systems Engineeringswitched Lyapunov functionFault detection and isolationMathematics2014 UKACC International Conference on Control (CONTROL)
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Mixed l-/l1 fault detection observer design for positive switched systems with time-varying delay via delta operator approach

2014

Published version of an article in the journal: International Journal of Control, Automation and Systems. Also available from the publisher at: http://dx.doi.org/10.1007/s12555-013-0466-1 This paper investigates the problem of fault detection observer design for positive switched systems with time-varying delay via delta operator approach. A new fault sensitivity measure, called l-index, is proposed. The l- fault detection observer design and multi-objective l -/l1 fault detection observer design problems are addressed. Based on the average dwell time approach and the piecewise copositive type Lyapunov-Krasovskii functional method in delta domain, sufficient conditions for the existence of …

VDP::Technology: 500::Mechanical engineering: 570Computer Science Applications1707 Computer Vision and Pattern RecognitionDelta operatorMechatronicsfault sensitivityFault (power engineering)positive switched systemsMeasure (mathematics)VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Fault detection and isolationfault detectionComputer Science Applicationsdelta operatorDwell timeControl theoryControl and Systems EngineeringPiecewiseAverage dwell time; delta operator; fault detection; fault sensitivity; positive switched systems; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern RecognitionSensitivity (control systems)Average dwell timeMathematics
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Stabilization and lx -gain analysis of switched positive systems with actuator saturation

2014

This paper is concerned with the problems of stability and l 1 -gain analysis for a class of switched positive systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior. By constructing a multiple co-positive Lyapunov functional, sufficient conditions are provided for the closed-loop system to be locally asymptotically stable at the origin of the state space under arbitrary switching. Then, the l 1 -gain performance analysis in the presence of actuator saturation is developed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

Convex hulll<inf>1</inf>-gain performanceApplied MathematicsTime-varying delaysActuator saturationComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsActuator saturation; l<inf>1</inf>-gain performance; Positive systems; Switched systems; Time-varying delays; Computer Science Applications1707 Computer Vision and Pattern Recognition; Control and Systems Engineering; Applied Mathematics; Modeling and SimulationStability (probability)Positive systemsActuator saturationControl theoryControl and Systems EngineeringStability theoryModeling and SimulationState spaceRepresentation (mathematics)Saturation (chemistry)Switched systemsMathematics
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Positive L1 observer design for positive Switched systems

2014

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/s00034-013-9737-6 This paper investigates the problem of L1 observer design for positive switched systems. Firstly, a new kind of positive L1 observer is proposed for positive switched linear delay-free systems with observable and unobservable subsystems. Based on the average dwell time approach, a sufficient condition is proposed to ensure the existence of the positive L1 observer. Under the condition obtained, the estimated error converges to zero exponentially, and the L1 -gain from the disturbance input to the estimated error is less t…

exponetial stabiblityApplied MathematicsSignal ProcessingVDP::Technology: 500::Mechanical engineering: 570positive observerswitched systemstime-varying delaysAverage dwell time; Exponential stability; Positive observer; Switched systems; Time-varying delays; Signal Processing; Applied MathematicsExponential stabilityVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411average dwell time
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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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Stabilization of positive switched systems with time-varying delays under asynchronous switching

2014

Published version of an article in the journal: International Journal of Control, Automation and Systems. Also available from the publisher at: http://dx.doi.org/10.1007/s12555-013-0486-x This paper investigates the state feedback stabilization problem for a class of positive switched systems with time-varying delays under asynchronous switching in the frameworks of continuous-time and discrete-time dynamics. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. By constructing an appropriate co-positive type Lyapunov-Krasovskii functional and further allowing the functional to increase during the running time of ac…

Asynchronous switchingpositive systemsAsynchronous switching; average dwell time; positive systems; switched systems; time-varying delays; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognitionbusiness.industryComputer scienceControl (management)time-varying delaysComputer Science Applications1707 Computer Vision and Pattern RecognitionRoboticsControl engineeringPositive systemsMechatronicsVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411AutomationComputer Science ApplicationsControl and Systems EngineeringAsynchronous communicationswitched systemsArtificial intelligencebusinessaverage dwell timeInternational Journal of Control, Automation and Systems
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Stability of stochastic nonlinear systems with state-dependent switching

2013

In this paper, the problem of stability on stochastic systems with state-dependent switching is investigated. To analyze properties of the switched system by means of Itô’s formula and Dynkin’s formula, it is critical to show switching instants being stopping times. When the given active-region set can be replaced by its interior, the local solution of the switched system is constructed by defining a series of stopping times as switching instants, and the criteria on global existence and stability of solution are presented by Lyapunov approach. For the case where the active-region set can not be replaced by its interior, the switched systems do not necessarily have solutions, thereby quasi-…

stochastic systemsStability (learning theory)Mathematical proofnonlinear control systemsSet (abstract data type)State-dependent switching; Stochastic systems; Switched systems; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringExponential stabilityControl theoryElectrical and Electronic EngineeringSwitched systemsMathematicsLyapunov methodsStochastic systemsSeries (mathematics)Stochastic processApplied MathematicsComputer Science Applications1707 Computer Vision and Pattern Recognitionstate-dependent switchingstabilityComputer Science ApplicationsNonlinear systemControl and Systems EngineeringState dependentswitched systemscontrol system synthesisState-dependent switching
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