Multiple integral techniques for stochastic stability analysis of Markovian jump systems: a unified uncertain transition rates

DOI10.1016/j.jfranklin.2021.11.037zbMath1481.93144OpenAlexW4200453079MaRDI QIDQ2071208

Yufeng Tian, Zhan-Shan Wang

Publication date: 25 January 2022

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2021.11.037

zbMATH Keywords

stochastic stabilityMarkovian jump systemsmultiple-integral-type Lyapunov-Krasovskii functional

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Delay control/observation systems (93C43)

Related Items

Event-triggered finite-time admissibilization of bio-economic singular semi-Markovian jump fuzzy systems

Cites Work

• A multiple integral approach to stability of neutral time-delay systems
• Stability analysis of continuous-time Markovian jump time-delay systems with time-varying transition rates
• Sliding mode control for state-delayed Markov jump systems with partly unknown transition probabilities
• Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
• On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality
• Stability of time-delay systems via Wirtinger-based double integral inequality
• Reliable control for event-triggered singular Markov jump systems with partly unknown transition probabilities and actuator faults
• Mixed \(H_\infty\) and passivity-based resilient controller for nonhomogeneous Markov jump systems
• Hierarchy of stability criterion for time-delay systems based on multiple integral approach
• A switched fuzzy filter approach to \(H_\infty\) filtering for Takagi-Sugeno fuzzy Markov jump systems with time delay: the continuous-time case
• Observer-based asynchronous control for Markov jump systems
• Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach
• Asynchronous \(H_\infty\) control for nonhomogeneous higher-level Markov jump systems
• Reachable set estimation of delayed fuzzy inertial neural networks with Markov jumping parameters
• Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme
• Network-based passive estimation for switched complex dynamical networks under persistent dwell-time with limited signals
• Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems
• Stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates
• Delay-dependent and decay-rate-dependent conditions for exponential mean stability and non-fragile controller design of positive Markov jump linear systems with time-delay
• Wirtinger-based integral inequality: application to time-delay systems
• A receding horizon Kalman FIR filter for linear continuous-time systems
• Wirtinger-based multiple integral inequality for stability of time-delay systems
• Stochastic stability analysis of integral non-homogeneous Markov jump systems
• Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy
• Observer-Based Stabilization of Nonhomogeneous Semi-Markov Jump Linear Systems With Mode-Switching Delays