Regularity and stability analysis of discrete-time Markov jump linear singular systems

DOI10.1016/j.automatica.2016.11.007zbMath1352.93098OpenAlexW2559942198MaRDI QIDQ503132

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 January 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.11.007

zbMATH Keywords

stabilityregularityjump singular systems

Mathematics Subject Classification ID

Related Items (19)

Resilient \(H_\infty\) dynamic output feedback controller design for USJSs with time-varying delays ⋮ The linear quadratic optimal control problem for discrete-time Markov jump linear singular systems ⋮ Stochastic and exponential stability of discrete-time Markov jump linear singular systems ⋮ Existence of non-impulsive unique solution and stability for continuous-time linear rectangular descriptor Markov jump systems ⋮ Asynchronous admissibility and fault detection for delayed implicit Markovian switching systems under hidden Markovian model mechanism ⋮ Event‐triggered feedback control for delayed singular jump systems based on sampled observer and exponential detector ⋮ Novel event-triggered protocol to sliding mode control for singular semi-Markov jump systems ⋮ H_∞ filtering of discrete-time Markovian jump singular systems via bounded real lemma and supermartingale-liked approach ⋮ Dynamic compensator design and \(H_\infty\) admissibilization for delayed singular jump systems via Moore-Penrose generalized inversion technique ⋮ Control of discrete-time semi-Markovian switched linear singular systems ⋮ Robust stability on discrete-time nonhomogeneous singular semi-Markov jump systems with a polytopic method ⋮ Event-based mixed ℋ_∞ and passive filtering for discrete singular stochastic systems ⋮ Attracting sets of discrete-time Markovian jump delay systems with stochastic disturbances via impulsive control ⋮ Admissibility analysis and stabilization for neutral descriptor hybrid systems with time-varying delays ⋮ Normalization and stabilization of neutral descriptor hybrid systems based on P-D feedback control ⋮ Finite and infinite horizon indefinite linear quadratic optimal control for discrete-time singular Markov jump systems ⋮ Stability analysis of discrete-time Markov jump linear singular systems with partially known transition probabilities ⋮ Extended dissipative analysis for T-S fuzzy semi-Markov jump systems with sampled-data input and actuator fault ⋮ Normalisation design for delayed singular Markovian jump systems based on system transformation technique

Cites Work

• Unnamed Item
• Metrics of performance for discrete-time descriptor jump linear systems
• Surveys in differential-algebraic equations II
• Progress in differential-algebraic equations. Deskriptor 2013. Proceedings of the 8th workshop on coupled descriptor systems, Geseke, Germany, March 4--7, 2013
• Analysis and design of descriptor linear systems
• Control for discrete singular hybrid systems
• Existence and uniqueness of solutions of linear variable coefficient discrete-time descriptor systems
• Singular control systems
• A survey of linear singular systems
• Surveys in differential-algebraic equations I
• Output feedback stabilization for discrete singular systems with random abrupt changes
• On the analysis of discrete linear time-invariant singular systems
• Descriptor discrete-time systems with random abrupt changes: stability and stabilisation
• Observers for discrete singular systems
• Solvability, controllability, and observability of continuous descriptor systems
• Dynamic equations in descriptor form
• Singular Dynamic Leontief Systems
• On Criteria for Asymptotic Stability of Differential-Algebraic Equations
• Delay-dependent stabilization of singularly perturbed jump linear systems
• Admissibility and static output‐feedback stabilization of singular Markovian jump systems with defective statistics of modes transitions
• Chapter 13: Control of Integrated Chemical Process Systems Using Underlying DAE Models

This page was built for publication: Regularity and stability analysis of discrete-time Markov jump linear singular systems