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The H∞ filtering design problem is studied for a class of networked discrete-time nonlinear singular system. Both mixed random delays and packet dropouts in the communication channels are considered. The mixed time-delays consists of the discrete and distributed delays. And the packet dropout phenomenon occurs in a random way. Three mutually independent Bernoulli distributed random variables are utilized...
This paper investigates the stochastic finite-time stability (SFTS) problem for a class of Markovian jump nonlinear systems with time delays. The nonlinear terms are assumed to satisfy the Lipschitz conditions, and the time delays are modelled by mutually independent stochastic variables subject to Bernoulli distributions. The aim of our work is to design a set of linear feedback controllers such...
Aiming at the consensus of leader-follower multi-warhead networked cooperative attack system with stochastic multi-step time-varying delay in the free flight segment of ballistic missile, considering the actual situation, a three-dimensional integrated guidance model of leader-follower multi-warhead cooperative attack system is established. Based on the established model, considering the effect of...
Memristive neurodynamic systems have been deeply developed and analysed in recent years. In this paper, we put forward an improved condition to guarantee the mean-square exponential input-to-state stability (exp-ISS) of stochastic memristive neural networks (MNNs) with time-varying delays. The obtained sufficient condition is novel and less conservative than existing results. Moreover, the condition...
This paper investigates the robustness issue of stochastic nonlinear network control systems (NCSs) with network-induced delays and packet dropouts. Firstly, the controller for the nominal system (without network-induced delays and packet dropouts) is designed to guarantee its globally asymptotic stability. Then, by choosing parameters which satisfy associated conditions, the ultimately globally asymptotic...
Random time delay problem is a key problem in networked control systems (NCSs) and uncertain metrology delay systems. Different from the ordinary delay, the random delay is usually described in time domain. In this paper, a Laplace transform strategy is used to analyze random time delay problem. Firstly, the various Laplace transforms of random variables are discussed; then, based on the output response...
We study the optimal control of fully coupled forward-backward stochastic systems with delay and noisy memory where the dynamics is governed by a controlled Ito-Levy process and the information available to the controller is possibly less than the overall information. Sufficient and necessary maximum principles for the optimal control of such systems are derived using Malliavin calculus techniques...
This paper investigates the problem of mean square exponential stability for uncertain stochastic interval type-2 (IT2) fuzzy neural networks with multiple time-varying delays. First, IT2 fuzzy neural network is introduced, which takes time delays and parameter uncertainties into account. Compared with the existing results, our model is more applicable since time delays and parameter uncertainties...
This paper is to study the stabilizability and stabilization issues of linear dynamical systems based on the delayed and noisy feedback control. For the general linear systems, the necessary conditions and sufficient conditions for mean square and almost sure stabilizability are deduced and the corresponding feedback controls are designed according to the generalized algebraic Riccati equation. It...
In this paper, the problem of controller design for networked control systems with stochastic cyber-attacks is investigated. Firstly, considering the network-induced delay and cyber-attacks, a mathematical controller model for networked control systems is constructed for analysis. Secondly, based on this model, sufficient conditions for the stability of controller design and gain parameters of desired...
This paper is concerned with an optimal control problem of anticipated forward-backward stochastic differential equation with delay. We obtain an explicit representation of optimal control for delayed problem first, and then use it to solve a delayed cash management problem with recursive utility. The explicit optimal control strategy of the investor is given and some numerical simulations are used...
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
Software development for Cyber-Physical Systems (CPS), e.g., autonomous vehicles, requires both functional and non-functional quality assurance to guarantee that the CPS operates safely and effectively. EAST-ADL is a domain specific architectural language dedicated to safety-critical automotive embedded system design. We have previously modified EAST-ADL to include energy constraints and transformed...
This study presents numerical algorithms for solving optimal control problems with a class of integro-differential equations of the second kind as costraints. This class of equations consists of an integro-differential term containing an Abeltype kernel. The first kind equations, with a weakly singular kernel, investigated here appear in the mathematical model of an aeroelasticity problem [1]. Two...
This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with time-varying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However, owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii...
This paper concentrates on the nonlinear filtering for systems with event-triggered data transmission and random time delays. A stochastic event-triggered sensor schedule is introduced to reduce the excessive measurements, which achieves a lower communication rate with a good estimation performance. The time delay is modeled by a Poisson distribution, and a D-length buffer is used to retrieve partly...
On account of the finite propagation speed of signals, time-delay phenomena are abundant. Compared with time-delay systems, nonlinear systems with generalized piecewise constant arguments can be both of advance and retard, which are an extension to time-delay systems. In this paper, we address the robustness of global exponential stability for a general class of nonlinear systems with generalized...
Because the class of wideband noise is quite realistic in applications and is a good approximation to white noise, this paper focuses on the asymptotic properties of integro-differential systems with wideband noise perturbations. Using perturbed test function methods combined with the martingale averaging techniques, and weak convergence methods, it is shown that when the small parameter tends to...
Modeling and analysis of non–functional properties is crucial in energy-aware real-time (ERT) automotive systems. EAST-ADL is an architectural language dedicated to safety critical automotive embedded system design. We have previously modified EAST-ADL to include energy constraints and transformed ERT behaviors modeled in EAST-ADL/STATEFLOW into UPPAAL models amenable to formal verification. Previous...
We consider linear, state-delayed, discrete-time systems with stochastic uncertainties in their state-space model. The problem of robust H∞ static output-feedback control is solved, for the stationary case, via the input-output approach by which the system is replaced by a non-retarded system with deterministic norm-bounded uncertainties. Based on the BRL result of the above systems, solutions are...
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