Universal adaptive stabilization for a class of multivariable Markovian jump linear systems with partially unknown transition rates

D Berdouzi, K El Hadri… - IMA Journal of …, 2021 - academic.oup.com
… -gain stochastic stabilizability, that is, any system belonging to this … gain for every mode is
sufficiently large. Moreover, a universal … to provide a necessary and sufficient condition for the …

Robust stability analysis of linear parameter-varying systems with Markov jumps

AN Vargas, CM Agulhari, RCLF Oliveira… - … on Automatic Control, 2021 - ieeexplore.ieee.org
conditions stem from a homogeneous polynomial Lyapunov function in the state space,
adapted to account for Markov jumps. … Markov jump linear systems (MJLSs) comprise a class of …

Identification and adaptive control of markov jump systems: Sample complexity and regret bounds

Y Sattar, Z Du, DA Tarzanagh, L Balzano… - arXiv preprint arXiv …, 2021 - arxiv.org
jump linear system (MJS) to optimize a quadratic objective. By taking a model-based perspective,
we consider identification-based adaptive … On the other hand, stability (or stabilizability) …

Stabilization Optimal Control for Itô Stochastic Markov Jump System with Indefinite State

Y Ju, C Han - 2024 36th Chinese Control and Decision …, 2024 - ieeexplore.ieee.org
… the necessary and sufficient condition of stabilization for the stochastic jumping parameter
systems … Optimal mean–variance control for discrete-time linear systems with markovian jumps

Lyapunov-equation-based stability analysis for switched linear systems and its application to switched adaptive control

S Yuan, M Lv, S Baldi, L Zhang - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
linear systems.We show the application of this methodology to the problem of adaptive
control of switched linear systems … In fact, the mechanism of the nonincreasing jump has been …

Admissibilization for implicit jump systems with mixed retarded delays based on reciprocally convex integral inequality and Barbalat's lemma

G Zhuang, J Xia, J Feng, W Sun… - … on Systems, Man, and …, 2020 - ieeexplore.ieee.org
… ] evidently demonstrated the necessary-sufficient admissibility conditions for IMJSs in terms
of … Zhuang, “Command filterbased adaptive fuzzy control for nonlinear systems with unknown …

Robust interval stability/stabilization and H feedback control for uncertain stochastic Markovian jump systems based on the linear operator

H Zhang, J Xia, G Zhuang, H Shen - Science China Information Sciences, 2022 - Springer
… Theorem 1 gives a sufficient condition for the generalized … Observer-based adaptive
fuzzy backstepping control for a … stabilizability and exact observability of stochastic systems

[PDF][PDF] A stochastic linear-quadratic optimal control problem with jumps in an infinite horizon

J Wu, M Tang, Q Meng - AIMS Mathematics, 2023 - aimspress.com
… L2-stabilizability of our control system with jump is equivalent to … Dη → Z be an Ft-adapted
stationary Poisson point process with … Let us consider the following uncontrolled linear system: …

Exponential consensus of linear systems over switching network: A subspace method to establish necessity and sufficiency

Q Ma, J Qin, WX Zheng, Y Shi… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… The neutrally stable linear systems have been examined and we have established necessary
and sufficient conditions for exponential consensus. Intuitively, an observability condition …

Strong consistency and rate of convergence of switched least squares system identification for autonomous markov jump linear systems

B Sayedana, M Afshari, PE Caines… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
adaptive control and reinforcement learning [9], [10]. There are four main approaches for
system identification of linear systems… spectral conditions imposed in [1] as a sufficient condition