0000000000246989

AUTHOR

Navid Noroozi

showing 4 related works from this author

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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Stabilization of a Class of Stochastic Nonlinear Systems

2013

This paper addresses two control schemes for stochastic nonlinear systems. Firstly, an adaptive controller is designed for a class of motion equations. Then, a robust finite-time control scheme is proposed to stabilize a class of nonlinear stochastic systems. The stability of the closed-loop systems is established based on stochastic Lyapunov stability theorems. Links between these two methods are given. The efficiency of the control schemes is evaluated using numerical simulations.

Lyapunov stabilityScheme (programming language)Class (set theory)Article SubjectGeneral Mathematicslcsh:MathematicsGeneral EngineeringStability (learning theory)MathematicsofComputing_NUMERICALANALYSISEquations of motionlcsh:QA1-939Nonlinear systemControl theorylcsh:TA1-2040lcsh:Engineering (General). Civil engineering (General)computerMathematicscomputer.programming_languageMathematical Problems in Engineering
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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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Integral Input-to-State Stability for Interconnected Discrete-Time Systems

2014

Abstract In this paper, we investigate integral input-to-state stability for interconnected discrete-time systems. The system under consideration contains two subsystems which are connected in a feedback structure. We construct a Lyapunov function for the whole system through the nonlinearly-weighted sum of Lyapunov functions of individual subsystems. We consider two cases in which we assume that one of subsystems is integral input-to-state stable and the other is either input-to-state stable or only integral input-to-state stable.

Lyapunov functionsymbols.namesakeDiscrete time and continuous timeControl and Systems EngineeringControl theoryStructure (category theory)symbolsState (functional analysis)Stability (probability)Whole systemsMathematicsIFAC Proceedings Volumes
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