Article
Computer Science, Information Systems
Sunisa Luemsai, Thongchai Botmart
Summary: This paper investigates the asymptotic stability and extended dissipativity performance of T-S fuzzy generalized neural networks (GNNs) with mixed interval time-varying delays. By constructing the Lyapunov-Krasovskii functional and using corresponding inequality methods, new asymptotic stability and extended dissipativity conditions are obtained. Numerical examples demonstrate that the proposed method is less conservative.
Article
Computer Science, Artificial Intelligence
Peng Wan, Zhigang Zeng
Summary: This article investigates the global exponential stability of impulsive timescale-type nonautonomous neural networks with mixed delays. By improving the timescale-type Halanay inequality and constructing impulse-dependent functions, criteria for stability are proposed. The effectiveness of these theoretical results is verified through two numerical examples.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Automation & Control Systems
Peng Wan, Zhigang Zeng
Summary: This article focuses on the impulsive stabilization of nonautonomous timescale-type neural networks with constant and unbounded time-varying delays. Several algebraic criteria are demonstrated to achieve globally asymptotic stabilization, and impulsive control schemes are proposed for both constant and unbounded delay cases. The theoretical results are verified through numerical examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Wed Sun, Zixin Yuan, Zhenyu Lu, Junhao Hu, Shihua Chen
Summary: This article investigates quasisynchronization of heterogeneous neural networks with time-varying delays via event-triggered impulsive controls. Centralized and distributed control methods are proposed. The results suggest that the distributed method has advantages in resource usage.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Computer Science, Artificial Intelligence
Liqun Zhou
Summary: This paper presents global exponential dissipativity criteria for impulsive recurrent neural networks with proportional delays, providing global attractive sets and global exponential attractive sets. By introducing adjustable parameters and designing multiple Lyapunov functionals, the criteria improve and extend earlier dissipativity criteria, expanding the range of attractive sets. Several numerical examples validate the results and demonstrate their independence.
NEURAL PROCESSING LETTERS
(2021)
Article
Mathematics, Applied
Sunisa Luemsai, Thongchai Botmart, Wajaree Weera
Summary: The study focuses on asymptotic stability and extended dissipativity analysis for generalized neural networks with interval discrete and distributed time-varying delays. Less conservative stability criteria are obtained for a specific case of the networks, with numerical examples showing improved performance compared to existing literature. The new criteria are expressed as linear matrix inequalities covering various performance metrics through parameter setting.
ADVANCES IN DIFFERENCE EQUATIONS
(2021)
Article
Automation & Control Systems
N. H. Sau, P. Niamsup, V. N. Phat, M. Thuan
Summary: This paper investigates the problem of state bounding for linear positive singular discrete-time systems with unbounded time-varying delay. The proposed approach utilizes the comparison principle and spectral analysis of matrices to provide new sufficient conditions for the regularity, causality, positivity, and existence of the smallest ultimate upper bound of such systems. The conditions are formulated as linear programming problems that can be solved using an LP optimal toolbox. Numerical examples with simulations demonstrate the advantage and validity of the proposed theoretical results. This method represents the first attempt to address the state bounding problem of linear singular discrete-time systems with unbounded time-varying delays.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Yanshou Dong, Junfang Zhao, Xu Miao, Ming Kang
Summary: This paper investigates the piecewise pseudo almost periodic solutions of a class of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations. The existence conditions for these solutions are obtained through the exponential dichotomy of linear differential equations and the fixed point theory of contraction mapping. The global exponential stability of the piecewise pseudo almost periodic solutions is discussed using differential inequality techniques and mathematical methods of induction. An illustrative example is provided to demonstrate the effectiveness of the obtained results.
Article
Automation & Control Systems
Juan Wang, Zipeng Wang, Kaibo Shi, Fujin Jia, Kui Ding
Summary: This paper focuses on the stochastic passivity problem of stochastic memristor-based complex valued neural networks. It develops a sampled-data control strategy using spatial and temporal point sampling, and establishes two different sufficient conditions for the stochastic passivity of the system. The research fills the gap in sampled-data controlled complex-valued reaction-diffusion neural networks.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Electrical & Electronic
Yufeng Tian, Zhanshan Wang
Summary: This study presents an improved solution to the problem of H-infinity performance state estimation for static neural networks with time-varying delays. By deriving a less conservative criterion and designing estimator gain matrices independent of activation function, the effectiveness of the estimation method has been improved. This approach eliminates the constraint of having invertible activation functions, as compared to existing works.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Computer Science, Interdisciplinary Applications
Xiaoqi Sun
Summary: This paper investigates the exponential stability in mean square for stochastic static neutral neural networks with varying delays. By using the Lyapunov functional method and stochastic analysis technique, the paper obtains the sufficient conditions to guarantee the exponential stability in mean square for the neural networks and extends some results of related literature.
COMPUTERS AND CONCRETE
(2022)
Article
Mathematics, Interdisciplinary Applications
N. Boonsatit, R. Sugumar, D. Ajay, G. Rajchakit, C. P. Lim, P. Hammachukiattikul, M. Usha, P. Agarwal
Summary: This article examines the mixed Script capital H-infinity and passivity synchronization of Markovian jumping neutral-type complex dynamical network (MJNTCDN) models with randomly occurring coupling delays and actuator faults. Novel Lyapunov-Krasovskii functional (LKF) is constructed to verify the stability of the error model and performance level, using Jensen's inequality and a new integral inequality. Sufficient conditions for the synchronization error system (SES) are given in terms of linear matrix inequalities (LMIs), with numerical illustrations provided to exhibit the usefulness of the obtained results.
Article
Automation & Control Systems
Jinde Cao, Gani Stamov, Ivanka Stamova, Stanislav Simeonov
Summary: This article investigates a neural-network model of fractional order with impulsive perturbations, time-varying delays, and reaction-diffusion terms, focusing on qualitative properties of states and developing new almost periodicity and stability criteria. The uncertain case is also considered, and examples are established to demonstrate the effectiveness of the obtained criteria.
IEEE TRANSACTIONS ON CYBERNETICS
(2021)
Article
Engineering, Multidisciplinary
K. Udhayakumar, S. Shanmugasundaram, Ardak Kashkynbayev, K. Janani, R. Rakkiyappan
Summary: This paper explores the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays using control systems with saturated and asymmetrically saturated impulses. Theoretical discussions introduce mixed delays for INNs, and the addressed model is transformed into first-order differential equations using variable transformation and dead-zone function. Adequate conditions for exponential synchronization are derived, and an asymmetric saturated impulsive control approach is proposed for achieving exponential synchronization in the leader-following synchronization pattern of INNs. Simulation results validate the theoretical findings.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Electrical & Electronic
Ting Wang, Baoyong Zhang, Deming Yuan, Yijun Zhang
Summary: This paper investigates the event-based extended dissipative state estimation problem for memristor-based Markovian neural networks with hybrid time-varying delays and sensor nonlinearity. By employing a Markov jump model and an event-triggered scheme, novel conditions are presented to ensure the stability and performance of the system, along with an existence criterion for the desired estimator. Simulation results demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Automation & Control Systems
R. Manivannan, R. Samidurai, Jinde Cao, Matjaz Perc
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2020)
Article
Computer Science, Interdisciplinary Applications
Yang Cao, R. Sriraman, R. Samidurai
MATHEMATICS AND COMPUTERS IN SIMULATION
(2020)
Article
Automation & Control Systems
Meng Zhang, Quanxin Zhu
Summary: This paper investigates the stochastic input-to-state stability (SISS) properties for impulsive stochastic nonlinear systems with delayed impulses, and analyzes impulsive systems with multiple jumps. By establishing sufficient conditions and deriving system properties, the effectiveness of the research results is demonstrated.
INTERNATIONAL JOURNAL OF CONTROL
(2021)
Article
Computer Science, Interdisciplinary Applications
R. Sriraman, Yang Cao, R. Samidurai
MATHEMATICS AND COMPUTERS IN SIMULATION
(2020)
Article
Statistics & Probability
Hui Mi, Lei Li, Quanxin Zhu
Summary: This paper discusses an optimal investment problem with complete memory over an infinite time horizon, where the appreciation rate of the risky asset is based on historical information and the wealth process is controlled by a stochastic delay differential equation. The goal is to maximize expected discounted utility by choosing optimal investment and consumption controls. The corresponding HJB equation is provided under certain conditions, along with explicit expressions of optimal investment and consumption for exponential utility function. Numerical examples and sensitivity analysis are presented to illustrate the results.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2021)
Article
Mathematics
Usa Humphries, Grienggrai Rajchakit, Pramet Kaewmesri, Pharunyou Chanthorn, Ramalingam Sriraman, Rajendran Samidurai, Chee Peng Lim
Article
Mathematics
Usa Humphries, Grienggrai Rajchakit, Pramet Kaewmesri, Pharunyou Chanthorn, Ramalingam Sriraman, Rajendran Samidurai, Chee Peng Lim
Article
Multidisciplinary Sciences
Ramalingam Sriraman, Grienggrai Rajchakit, Chee Peng Lim, Pharunyou Chanthorn, Rajendran Samidurai
Article
Mathematics, Applied
R. Manivannan, Jinde Cao, Kil To Chong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2020)
Article
Mathematics, Applied
Ruoxia Li, Jinde Cao, Changfeng Xue, R. Manivannan
Summary: In this note, a discrete-time fractional-order quaternion-valued memristive system is considered. The existence and uniqueness of equilibrium point for the system is derived by utilizing contraction mapping theory. Quasi-stability condition and quasi-synchronization conclusion are obtained using comparison principle and Lyapunov method, respectively, with the help of a proper controller. The lexicographical order method is applied to quaternion-valued memristive neural networks, and one example is provided to support the conclusions obtained.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Automation & Control Systems
Jinde Cao, R. Manivannan, Kil To Chong, Xiaoxiao Lv
Summary: This article explores the issue of extended dissipativity performance of a high-speed train under probabilistic delays and actuator faults. A new unified control design method is proposed, with criteria derived using random variable sequences and integral inequality techniques.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
R. Manivannan, Yang Cao, Kil To Chong
Summary: This paper examines the unified dissipative performance of Offshore Steel Jacket Platforms (OSJPs) in the presence of actuator failures and probabilistic delays using a resilient and reliable sampled-data controller. The study focuses on treating random variables with Bernoulli distribution for stochastic time-delays. By utilizing Lyapunov-Krasovskii functions (LKF) along with the Second Order Bessel-Legendre Inequality Technique (SOBLIT) and an improved Reciprocally Convex Inequality (RCI) approach, the paper provides a criterion in the form of linear matrix inequalities (LMIs) to ensure the unified dissipativity of the OSJP. The paper also highlights the multi-dynamic interpretation of OSJP with extended dissipativity indices.
IET CONTROL THEORY AND APPLICATIONS
(2022)
Article
Computer Science, Artificial Intelligence
R. Manivannan, Yang Cao, Kil To Chong
Summary: This paper investigates the unified dissipativity state estimation of delayed generalized impulsive neural networks with leaky delay effects for the first time. A new delayed-dependent criterion is developed, and the notion of a unified dissipativity-based estimating state is used for multi-dynamic state estimation by modifying matrix values.
KNOWLEDGE-BASED SYSTEMS
(2022)
Editorial Material
Mathematics
Quanxin Zhu
Article
Mathematics, Interdisciplinary Applications
Boliang Lu, Quanxin Zhu, Ping He
Summary: This paper studies the exponential stability of highly nonlinear hybrid neutral stochastic differential equations (NSDEs) with multiple unbounded time-dependent delays and different structures. The existence and uniqueness of the exact global solution of the new stochastic system are proven, and several criteria for exponential stability are provided, including the q(1)th moment and almost surely exponential stability. Numerical examples are given to illustrate the main results.
FRACTAL AND FRACTIONAL
(2022)
