This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable....

We introduce jumptime unraveling as a distinct description of open quantum systems. As our starting point, we consider jump trajectories, which emerge, physically, from continuous measurements, or, formally, the Markovian master equations. If stochastically evolving trajectories are ensemble-averaged at specific times, resulting states solutions to associated equation. demonstrate that can also...

The connection between linear dynamically varying (LDV) systems and jump linear systems is explored. LDV systems have been shown to be useful in controlling systems with "complicated dynamics". Some systems with complicated dynamics, for example Axiom A systems, admit Markov partitions and can be described, up to finite resolution, by a Markov chain. In this case, the control system for these s...

O problema de ltragem H 1 para sistemas lineares a tempo-cont nuo e sujeito a falhas e investigado. E proposto uma metodologia para projetar ltros para a classe de sistemas descrita acima que garante um n vel prescrito de atenuaa c~ ao, na norma L 2 induzida pela relaa c~ ao sinal de ru do versus ^ erro de estimaa c~ ao. Os resultados principais s~ ao conseguidos via desigualdades matriciais li...

An exact condition for uniform stabilization and disturbance attenuation for switched linear systems is given in the discrete-time domain via the union of an increasing family of linear matrix inequality conditions. Associated with each Markovian jump linear system is a switched linear system, so we obtain a necessary and sufficient condition for almost sure uniform stabilization and disturbanc...

This paper focuses on stability and H∞ performance analysis for a class of continuous-time Markovian jump systems with unknown transition probability and time-varying delay. Based on the free-connection weighting matrix method, the less conservative stability criterion and bounded real lemma (BRL) of Markovian jump systems with time-varying delay are obtained by considering the influence of par...

This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. W...