Search results for "Input-to-state stability"

showing 3 items of 3 documents

Dissipativity-Based Small-Gain Theorems for Stochastic Network Systems

2016

In this paper, some small-gain theorems are proposed for stochastic network systems which describe large-scale systems with interconnections, uncertainties and random disturbances. By the aid of conditional dissipativity and showing times of stochastic interval, small-gain conditions proposed for the deterministic case are extended to the stochastic case. When some design parameters are tunable in practice, we invaginate a simpler method to verify small-gain condition by selecting one subsystem as a monitor. Compared with the existing results, the existence-and-uniqueness of solution and ultimate uniform boundedness of input are removed from requirements of input-to-state stability and smal…

0209 industrial biotechnologystochastic systemsComputer Science Applications1707 Computer Vision and Pattern Recognition02 engineering and technologyInterval (mathematics)Stability (probability)Electronic mailComputer Science Applicationsinput-to-state stabilityDissipativity; input-to-state stability; network systems; stochastic systems; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringNonlinear system020901 industrial engineering & automationnetwork systemsControl and Systems EngineeringControl theoryControl system0202 electrical engineering electronic engineering information engineeringUniform boundedness020201 artificial intelligence & image processingStochastic optimizationElectrical and Electronic EngineeringDissipativityMathematicsIEEE Transactions on Automatic Control
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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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On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems

2014

This paper addresses integral input-to-state stability iISS for a feedback interconnection of parameterised discrete-time systems involving two subsystems. Particularly, we give a construction for a smooth iISS Lyapunov function for the whole system from the sum of nonlinearly weighted Lyapunov functions of individual subsystems. Motivations for such a construction are given. We consider two main cases. The first one investigates iISS for the whole system when both subsystems are iISS. The second one gives iISS for the interconnected system when one of subsystems is allowed to be input-to-state stable. The approach is also valid for both discrete-time cascades and a feedback interconnection…

Lyapunov functionsmall-gain conditions0209 industrial biotechnologyInterconnectionStability (learning theory)Computer Science Applications1707 Computer Vision and Pattern Recognition02 engineering and technologyState (functional analysis)Computer Science ApplicationsWhole systems0-global asymptotic stabilityTheoretical Computer Scienceinput-to-state stabilitysymbols.namesakeparameterised discrete-time systems020901 industrial engineering & automationDiscrete time and continuous timeControl theoryControl and Systems Engineering0202 electrical engineering electronic engineering information engineeringsymbols020201 artificial intelligence & image processing0-global asymptotic stability; input-to-state stability; integral input-to-state stability; parameterised discrete-time systems; small-gain conditions; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognitionintegral input-to-state stabilityMathematics
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