Stabilization of Hidden Markov Jump Singular Systems With Limit Mode Switching Information
Bao Wang, Quanxin Zhu, Subei Li
Abstract
This article studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality, and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities-based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.
Topics & Concepts
Limit (mathematics)Control theory (sociology)JumpMarkov chainHidden Markov modelMathematicsMarkov processMode (computer interface)Computer scienceStatistical physicsApplied mathematicsMathematical analysisControl (management)PhysicsArtificial intelligenceStatisticsOperating systemQuantum mechanicsQuantum chaos and dynamical systemsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems