A new transformation method is developed for the H∞ analysis and synthesis of a class of uncertain time-delay systems with Markovian jump parameters. In these systems, the jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded. The time-delay factor is constant. Complete results f...

The mean-square stability of stochastic Markovian jumping systems with variable delay is investigated in this paper. Based on Lyapunov-Krasovskii functional (LKF) method, new stability criteria are presented by applying generalized Finsler lemma (GFL). Convex analysis property is applied to use the information of the time-varying delay such that the worst-case enlargement for variable delay is ...

In this paper we study the effect of a network in the feedback loop of a control system. We consider a simple packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H∞ norm and compute this norm via a necessary and sufficient matrix inequality condition. Finally we apply these res...

This paper studies the output-feedback stabilization problem for a class of networked control systems (NCSs) with a Markovian jump linear plant. By considering the time delays from the sensor to the controller and from the controller to the actuator, the closed-loop NCS is modeled as a system with three kinds of jumping modes. The sufficient conditions for the stochastic stability are establish...

Recent experimental studies on the stepwize motion of biological molecular motors have revealed that the “characteristic distance” of a step is usually less than the actual step size. This observation implies that the detailed-balance condition for kinetic rates of steps is violated in these motors. In this letter, in order to clarify the significance of the characteristic distance, we study a ...

This paper is concerned with distributed sampled-data asynchronous H1 filtering for a continuous-time Markovian jump linear system over a sensor network, where jumping instants of system modes and filter modes are asynchronous. A group of sensor nodes are deployed to measure the system's output and to collaboratively share the measurement with neighboring nodes in accordance with Markovian swit...