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The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii...
The output-feedback control problem for nonlinear systems with state and input delays is addressed. Both state and input delays are allowed to be time-varying and uncertain. The class of systems considered consists of a nominal system of feedforward form as well as appended dynamics. A delay-independent robust adaptive feedback is designed based on our recent results on dual dynamic high-gain scaling...
The problem of delay-dependent energy-to-peak filter design for a class of stochastic time-delay systems is investigated in this paper. Attention is focused on the design of full-order and reduced-order filters to guarantee a prescribed energy-to-peak performance for the filtering error system. The improvement lies in that the constructed Lyapunov-Krasovskii functional, based on the delay partitioning...
We try to synchronize physical models described by wave equations with nonlinear boundary conditions. These systems are distributed parameter systems in which ideal turbulence, introduced by Sharkovsky et al., occurs. The behavior of such systems can be quite intricate both in time and space. However, by using the d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to...
We consider a wireless system with a small number of delay constrained users and a larger number of users without delay constraints. We develop a scheduling algorithm that reacts to time varying channels and maximizes throughput (to within a desired proximity), stabilizes all queues, and satisfies the delay constraints. The problem is solved by reducing the constrained optimization to a set of weighted...
This paper considers linear time delay systems with bounded disturbances that are not necessarily matched. A static output feedback sliding mode controller is designed. The existence problem is solved by determining a sliding surface that minimizes the ultimate bound of the reduced-order dynamics in the presence of time varying delay and unmatched disturbances. Linear matrix inequalities (LMIs) are...
Smith Predictor-like designs for compensation of arbitrarily long input delays are commonly available only for finite-dimensional systems. Only very few examples exist where such compensation has been achieved for PDE systems, including our recent result for a parabolic (reaction-diffusion) PDE. In this paper we address a more challenging wave PDE problem, where the difficulty is amplified by allowing...
The paper addresses the problem of inventory control in production-inventory systems stressing the dynamical aspects of stock replenishment process. In the considered systems, the stock used to satisfy the unknown, time-varying demand can be refilled from multiple supply sources. The orders issued in each review period are realized with delay, which differs among the suppliers and transport alternatives...
The generalized Nyquist criterion is used to derive necessary and sufficient consensus conditions for large high-order linear multi-agent systems (MAS) with heterogeneous communication delays. The new consensus conditions are set-valued graphical conditions, from which inequality conditions are derived for single integrator MAS. The obtained conditions provide a unification and generalization of several...
This letter considers the problem of mean-square exponential synchronization control for a class of stochastic delayed neural networks. Different from the prior works, the master-response synchronization setup under consideration transmits its signals through unreliable links, which include network-induced delays, frame losses, and random fluctuations. We firstly introduce a mathematical model of...
The subject area of this paper is discrete-time linear time-invariant systems composed of subsystems whose state updating is asynchronous due to the clock signal arriving with delays. This leads to the synchronization error identification problem which is to find from a trajectory of the system the order in which the subsystems' states are updated. A solution to this problem based on a direct search...
This paper addresses the H?? stability analysis of neutral time-delay systems with multiple commensurate delays including those with poles asymptotic to the imaginary axis. This extends previous work where only the single delay case was considered. Some frequency-domain tests for this kind of stability are proposed.
In a multi-agent system (MAS), the agents are often considered to be autonomous entities, such as robots or software programs, each under the influence of a local rule, representing its interaction with other agents. Over the past few years, most research in the study of discrete-time MAS's concentrates on linear local rules. However, local interactions between agents are more likely to be governed...
In this paper, we consider stochastic recursive optimal control problem of the stochastic delayed system described by forward-backward stochastic differential equation with delay. By virtue of classical spike variational approach, duality method and the anticipated backward stochastic differential equation, we obtain the maximum principle of the optimal control for this problem.
This paper studies the H2 optimization problem for systems with Adobe input delay. These are systems having only two (possibly vector) input channels: one is delay free and the other is delayed. We present a solution based on the reduction of the problem to an equivalent delay-free problem via simple loop shifting arguments. This results in a solution based on two standard algebraic Riccati equations,...
This paper presents a new stability analysis of linear networked control systems. The new method is inspired by discontinuous Lyapunov functions that were introduced by using impulsive system representation of the sampled-data and of the networked control systems respectively. In the recent paper piecewise-continuous (in time) Lyapunov-Krasovskii functionals have been suggested for the stability analysis...
The inverse time overcurrent relay operation is based upon the current setpoint and also the time multiplier setting. Depending on the ratio of the value of the current and the setpoint current together with the value of the time multiplier setting, the amount of time delay for the trip command is determined using the inverse time characteristics. This would mean that the relay is not of the adaptive...
Based on the theory of timed Petri nets, the course and the rule of propagation of airplane delays in the airport is analyzed and researched. A timed Petri nets model is established for propagation of airplane delays of two airplanes in non-priority group, and also a timed Petri nets model is established for propagation of airplane delays of two airplanes in priority group. The concept of airplane...
We investigate three stochastic problems (linear dynamics quadratic criterion, minimum-cost path, equipment replacement) with time-delayed control dynamics. We show how the concept of ??stage lookahead?? helps to reduce the number of arguments in the optimal value function of dynamic programming in order to alleviate the so-called curse of dimensionality.
Due to the influence of nonlinear dynamic characteristic of electronic throttle, time delay, external disturbance and parameter variation, the opening of electronic throttle is hard to control precisely. A fuzzy immune adaptive PID control is presented based on the immune feedback regulating law and the adaptive ability of fuzzy logic ratiocination. The model of the electronic throttle system is built...
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