Finite-Time Almost Sure Stability of a Markov Jump Fuzzy System With Delayed Inputs
He Zhang, Shengyuan Xu
Abstract
This article addresses the problem of finite-time almost sure stability, where the system is with Markov jump parameters and delayed inputs. With using Gronwall’s inequality and strong law of large numbers for Markov chains, finite-time bounded criteria and finite-time stability criteria are derived by Lyapunov–Krasovskii functional method. Moreover, a finite-time stability criterion in form of linear matrix inequality is given to design the controller gain. The obtained results are applied to finite-time sampled-data control of a truck-trailer system and finite-time control of a Markov jump mass-spring model with delayed inputs.
Topics & Concepts
Markov processStability (learning theory)MathematicsJumpFuzzy control systemMarkov chainFuzzy logicControl theory (sociology)Markov modelComputer scienceApplied mathematicsStatisticsArtificial intelligenceMachine learningControl (management)PhysicsQuantum mechanicsStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationStability and Controllability of Differential Equations