An improved approach to synthesis of Markov jump nonlinear systems with generally uncertain transition rates

Y Guo - Asian Journal of Control, 2023 - Wiley Online Library
separated approach is used to circumvent the difficulty of controller synthesis for sector nonlinear
systems… {H}}_{\infty } $$ control problem for nonlinear MJSs with general uncertain TRs, …

Optimal robust control and a separation principle for polytopic time-inhomogeneous Markov jump linear systems

YZ Lun, A D'Innocenzo, A Abate… - … Decision and Control …, 2017 - ieeexplore.ieee.org
… In [19] we considered the more general model of … equations (CRDEs), one associated to
the control problem, and the other one associated to the filtering problem. When the transition

A principled approximation framework for optimal control of semi-Markov jump linear systems

S Jafari, K Savla - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
control of general continuous-time S-MJLS, ie, S-MJLS of arbitrary dimension with a general
semi-Markov … iii) In the case that every transition in the Markov jump process is observable, …

A new look at the robust control of discrete-time Markov jump linear systems

MG Todorov, MD Fragoso - International Journal of Control, 2016 - Taylor & Francis
… , separate the robustness and performance objectives, we introduce four alternative approaches
to … The transition matrix P = [p ij ] of the Markov chain θ is non-degenerate, ie it has no …

H∞ filtering of Markov jump linear systems with general transition probabilities and output quantization

M Shen, JH Park - ISA transactions, 2016 - Elsevier
… S-procedure is employed to handle the adverse influence of the quantization and a new
approach is developed to conquer the nonlinearity induced by uncertain and unknown transition

[图书][B] Non-cooperative stochastic differential game theory of generalized Markov jump linear systems

C Zhang, H Zhu, H Zhou, N Bin - 2017 - Springer
transition matrix of Markov process rštŽ, and the transition … subsystems, changes of nonlinear
system operations, etc., can … economic system, instead of the general stochastic system. …

[图书][B] Analysis and design of Markov jump systems with complex transition probabilities

L Zhang, T Yang, P Shi, Y Zhu - 2016 - Springer
… For the Markov jump nonlinear systems, we refer the reader … theorem is applied to MJLSs,
which allows the separation … is more general, which covers the systems with completely known …

Mixed control of hidden Markov jump systems

AM de Oliveira, OLV Costa - … of Robust and Nonlinear Control, 2018 - Wiley Online Library
… -time Markov chain characterized by a fixed transition … Additionally, the separation principle
for the urn:x-wiley:rnc:media… 4.6, we show that the more general problem can be simplified …

Fault estimation for a class of nonlinear Markov jump systems with general uncertain transition rates

LW Li, GH Yang - International Journal of Systems Science, 2017 - Taylor & Francis
… This paper addresses the problem of fault estimation for a class of nonlinear Markov jump
systems with Lipschitz-type nonlinearities and general transition rates allowed to be uncertain …

A brief tutorial and survey on markovian jump systems: Stability and control

P Zhao, Y Kang, YB Zhao - … Systems, Man, and Cybernetics …, 2019 - ieeexplore.ieee.org
… With regard to nonlinear systems with external inputs, the … quadratic optimal control
problem, and the separation principle … of Markov jump linear systems with incomplete transition