Stability analysis for stochastic hybrid systems: A survey

AR Teel, A Subbaraman, A Sferlazza - Automatica, 2014 - Elsevier
This survey addresses stability analysis for stochastic hybrid systems (SHS), which are
dynamical systems that combine continuous change and instantaneous change and that …

[HTML][HTML] Modeling and analysis of networked control systems using stochastic hybrid systems

JP Hespanha - Annual Reviews in Control, 2014 - Elsevier
This paper aims at familiarizing the reader with Stochastic Hybrid Systems (SHSs) and
enabling her to use these systems to model and analyze Networked Control Systems …

On stability and H∞ control of switched systems with random switching signals

W **ang, J Lam, P Li - Automatica, 2018 - Elsevier
In this paper, the stability analysis and H∞ control problems for a class of continuous-time
switched systems with a random switching signal are addressed. The dwell time of the …

Model-based event-triggered predictive control for networked systems with data dropout

X Yin, D Yue, S Hu, C Peng, Y Xue - SIAM Journal on control and optimization, 2016 - SIAM
This paper proposes a novel structure of networked control systems (NCSs) with
communication logic, which incorporates model-based networked control systems (MB …

Linear noise approximation for a class of piecewise deterministic markov processes

S Modi, M Soltani, A Singh - 2018 Annual American Control …, 2018 - ieeexplore.ieee.org
Piecewise deterministic Markov processes (PDMP) are a class of mathematical models that
integrates discrete stochastic events with continuous deterministic dynamics. The exact …

Nonconservative Stability Criteria for Semi-Markovian Impulsive Switched Systems

S Liu, P Wen - SIAM Journal on Control and Optimization, 2024 - SIAM
This paper proposes criteria for establishing the asymptotic moment stability of semi-
Markovian impulsive switched systems. Under some mild assumptions, we formulate an …

Stability analysis of positive semi-Markovian jump linear systems with state resets

M Ogura, CF Martin - SIAM Journal on Control and Optimization, 2014 - SIAM
This paper studies the mean stability of positive semi-Markovian jump linear systems. We
show that their mean stability is characterized by the spectral radius of a matrix that is easy …

Modeling protein concentrations in cycling cells using stochastic hybrid systems

Z Vahdat, Z Xu, A Singh - IFAC-PapersOnLine, 2021 - Elsevier
We analyze a class of time-triggered stochastic hybrid systems where the state-space
evolves as per a linear time-invariant dynamical system. This continuous-time evolution is …

Stability and L₂-Gain Analysis of Linear Periodic Event-Triggered Systems With Large Delays

S Luo - IEEE Transactions on Circuits and Systems II: Express …, 2022 - ieeexplore.ieee.org
This brief studies the stability and-gain properties of dynamic periodic event-triggered
control systems with large time-varying communication delays. By introducing recursive …

Moment-based analysis of stochastic hybrid systems with renewal transitions

M Soltani, A Singh - Automatica, 2017 - Elsevier
Abstract Stochastic Hybrid Systems (SHS) constitute an important class of mathematical
models that integrate discrete stochastic events with continuous dynamics. The time …