Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay by Mingang Hua, Pei Cheng, Juntao Fei, Jianyong Zhang, Junfeng Chen

“…The robust filtering problem for a class of uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay is investigated. …”
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Hammerstein system with a stochastic input of arbitrary/unknown autocorrelation: Identification of the dynamic linear subsystem by Tsair‐Chuan Lin, Kainam Thomas Wong

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Agent-based risk analysis model for road transportation of dangerous goods by Hassan Kanj, Ajla Kulaglic, Wael Hosny Fouad Aly, Mutaz A.B. Al-Tarawneh, Khaled Safi, Sawsan Kanj, Jean-Marie Flaus

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A New Finite-Time Bounded Control of Stochastic Itô Systems with (x,u,v)-Dependent Noise: Different Quadratic Function Approach by Zhiguo Yan, Zhongwei Lin

“…This paper addresses the finite-time bounded control problem of linear stochastic systems with state, control input, and external disturbance-dependent noise ((x,u,v)-dependent noise for short). …”
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Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching by Hua Yang, Feng Jiang

“…Stochastic systems with Markovian switching have been used in a variety of application areas, including biology, epidemiology, mechanics, economics, and finance. …”
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Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay by Chunmei Zhang, Wenxue Li, Ke Wang

“…The main innovation here is that stochastic systems with infinite delay can retain stability and boundedness of corresponding deterministic systems under some conditions.…”
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Largest Lyapunov Exponents and Bifurcations of Stochastic Nonlinear Systems by C.W.S. To, D.M. Li

“…Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems are reviewed. Their features are discussed in light of bifurcation analysis and one expression is selected for evaluating the largest Lyapunov exponent of a linearized system. …”
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Nonlinear Finite-Horizon Regulation and Tracking for Systems with Incomplete State Information Using Differential State Dependent Riccati Equation by Ahmed Khamis, D. Subbaram Naidu, Ahmed M. Kamel

“…Unlike the previous methods which deal with the linearized system, this technique provides finite-horizon estimation and control of the nonlinear stochastic systems. Further, the proposed technique is effective for a wide range of operating points. …”
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Measurement Feedback Self-Tuning Weighted Measurement Fusion Kalman Filter for Systems with Correlated Noises by Xin Wang, Shu-Li Sun

“…For the linear discrete stochastic systems with multiple sensors and unknown noise statistics, an online estimators of the noise variances and cross-covariances are designed by using measurement feedback, full-rank decomposition, and weighted least squares theory. …”
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Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices by Liang Qiao, Zhaomin Lv

“…When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). …”
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Adaptive Kalman Estimation in Target Tracking Mixed with Random One-Step Delays, Stochastic-Bias Measurements, and Missing Measurements by Sujuan Chen, Yinya Li, Guoqing Qi, Andong Sheng

“…The objective of this paper is concerned with the estimation problem for linear discrete-time stochastic systems with mixed uncertainties involving random one-step sensor delay, stochastic-bias measurements, and missing measurements. …”
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Stochastic Finite Element Simulation of Uncertain Structures Subjected to Earthquake by Subrata Chakraborty, Santi Sekhar Dey

“…The basic objective is to investigate the possibility of applying the Neumann expansion technique coupled with the Monte Carlo simulation for dynamic stochastic systems upto that extent of parameter variation after which the method is no longer gives accurate results compared to that of the direct Monte carlo simulation. …”
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Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response by C. Gokila, M. Sambath, K. Balachandran, Yong-Ki Ma

“…We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions. For the stochastic systems, we obtain the conditions for the existence of the global unique solution, boundedness, and uniform continuity. …”
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EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS by Viorica Mariela UNGUREANU, Carmen Iuliana BĂRBĂCIORU

“…By using the solution representations from [3], we provide two necessary and sufficient conditions for the uniform exponential dichotomy of the stochastic systems. These conditions are completely deterministic and easy to check as it is proved by the final example, which illustrates the effectiveness of the theory…”
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Stochastic Bifurcations of a Fractional-Order Vibro-Impact System Driven by Additive and Multiplicative Gaussian White Noises by Yong-Ge Yang, Ya-Hui Sun, Wei Xu

“…Firstly, we can remove the discontinuity of the original system with the help of nonsmooth transformation and obtain the equivalent stochastic system. Then, we adopt the stochastic averaging method to get the approximately analytical solutions. …”
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Using statistical traffic analysis to calculate the confidential means of information transmission by Нух Таха Насіф

“…The article considers the modeling of security problems in the Internet as stochastic systems. This allows you to find flaws in existing security systems and offer new solutions. …”
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An Improved Method for Stochastic Nonlinear System’s Identification Using Fuzzy-Type Output-Error Autoregressive Hammerstein–Wiener Model Based on Gradient Algorithm, Multi-Innovat... by Donia Ben Halima Abid, Saif Eddine Abouda, Hanane Medhaffar, Mohamed Chtourou

“…This paper proposes an innovative identification approach of nonlinear stochastic systems using Hammerstein–Wiener (HW) model with output-error autoregressive (OEA) noise. …”
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Uncovering Deterministic Behavior of Black Hole IGR J17091–3624: A Twin of GRS 1915+105 by Anindya Guria, Banibrata Mukhopadhyay

“…The differentiation between chaotic and stochastic systems is often considered to quantify the nonlinear properties of an astrophysical system. …”
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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays by Manlika Rajchakit, Grienggrai Rajchakit

“…This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. …”
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Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System by Xiaojun Liu, Ling Hong, Lixin Yang

“…Based on the method, the stochastic system is reduced to the equivalent deterministic one, and then the responses of the stochastic system can be obtained by numerical methods. …”
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