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Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation Research Articles

Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado,a_alfi@shahroodut.ac.ir

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 10,   Pages 1402-1412 doi: 10.1631/FITEE.2000438

Abstract: This study analyzes the problem of of fractional-order delay systems of neutral type under actuator . A Lyapunov–Krasovskii (LK) function is constructed and conditions of the asymptotic of such systems are given, which are formulated by linear matrix inequalities (LMIs), using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.

Keywords: 分数阶系统;稳定性;中立时滞;鲁棒性;饱和性    

Controllability of fractional-order damped systems with time-varying delays in control Research Articles

Bin-bin He, Hua-cheng Zhou, Chun-hai Kou,hebinbin45@126.com,hczhou@amss.ac.cn,kouchunhai@dhu.edu.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 6,   Pages 809-962 doi: 10.1631/FITEE.1900736

Abstract: In this study, we focus on the of in linear and nonlinear cases with multiple in control. For the linear system based on the Mittag-Leffler matrix function, we define a , which is useful in judging whether the system is controllable or not. Furthermore, in two special cases, we present serval equivalent controllable conditions which are easy to verify. For the nonlinear system, under the of its corresponding linear system, we obtain a sufficient condition on the nonlinear term to ensure that the system is controllable. Finally, two examples are given to illustrate the theory.

Keywords: 可控性;分数阶阻尼系统;时变时滞;Gramian矩阵    

High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Strategic Study of CAE 2003, Volume 5, Issue 8,   Pages 35-44

Abstract:

This article presents high differential feedback control idea that does not rely on the model of the controlled system. Its control objective is that the output of the system and its differential and high differentials approximate the given reference input and its differential and high order differentials. It will improve largely the requirement of the control quality. Based on the idea, the high order differentiator (HOD) that is well able to extract differential and high order differentials of measured signals is designed. The proposed HOD has a few parameters and is easily adjusted. Its stability, convergence and filtering characteristic are proved. Furthermore, is designed, high order differential feedback adaptive controllers (HODFC) for unknown model nonlinear SISO and MIMO systems with unknown disturbance are presents respectively, the analysis of stability and robustness of the closed system is given, and linearized decoupling control is achieved.

Keywords: high order differentiator     high differential feedback controller     stability     robustness     decoupling control    

Stability and Instability of Systems—An Extended Discussion on Stir Kinetic Energy Conservation Law

Chen Gangyi,Ouyang Bolin,Yuan Dongsheng,Hao Liping,Zhou Lirong

Strategic Study of CAE 2005, Volume 7, Issue 8,   Pages 41-46

Abstract:

It is an extended discussion on the stir kinetic energy conservation law, which is proposed by OuYang Shoucheng. The authors think that stir kinetic energy conservation law is an important principle and analysis method for stability and evolutionism of systems. It is not only an approach for explaining stability of system, but also the analysis method for evolutionism of system, and it points out some problems in Newton's theories as well.

Keywords: system construction     stir kinetic energy     stability and evolutionism    

Adaptive Extension Controller Design for Nonlinear Systems

Wong Qingchang,Chen Zhenyuan

Strategic Study of CAE 2001, Volume 3, Issue 7,   Pages 54-58

Abstract:

A design method for the extension controller is developed in this paper. The proposed adaptive extension control resulting from the direct adaptive approach is employed to directly adapt the gain parameter of the extension controller. Then the constructed controller can be best approximated to a given optimal control. Unlike the fuzzy controller, only one linguistic — like level is needed in the extension controller. The merits of the proposed controller are that (a) the number of adaptation parameter is small; (b) the design algorithm is easily to be implemented. In addition, a maximum control is established to guarantee the system robust stability. The derivation shows that the proposed extension controller is stable in the sense of the Lyapunov. Finally, a nonlinear system simulation example is applied to verifying the effectiveness and the ability of the proposed adaptive extension controller.

Keywords: extension theory     adaptive control     extension controller     robust stability    

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks Research Articles

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 2,   Pages 234-246 doi: 10.1631/FITEE.1900409

Abstract: In this study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued neural networks (QVNNs) with impulses. Using the geometrical properties of activation functions and the Lipschitz condition, the existence of the equilibrium points is analyzed. In addition, the global Mittag-Leffler stability of multiple equilibrium points for the impulsive fractional-order QVNNs is investigated by employing the Lyapunov direct method. Finally, simulation is performed to illustrate the effectiveness and validity of the main results obtained.

Keywords: Mittag-Leffler stability     Fractional-order     Quaternion-valued neural networks     Impulse    

Fractional-order memristive neural synaptic weighting achieved by pulse-based fracmemristor bridge circuit Research Articles

Yifei Pu, Bo Yu, Qiuyan He, Xiao Yuan,heqiuyan789@163.com,yuanxiao@scu.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 6,   Pages 862-876 doi: 10.1631/FITEE.2000085

Abstract: We propose a novel circuit for the fractional-order memristive neural synaptic weighting (FMNSW). The introduced circuit is different from the majority of the previous integer-order approaches and offers important advantages. Since the concept of memristor has been generalized from the classic integer-order memristor to the (), a challenging theoretical problem would be whether the can be employed to implement the or not. In this research, characteristics of the FMNSW, realized by a pulse-based bridge circuit, are investigated. First, the circuit configuration of the FMNSW is explained using a pulse-based bridge circuit. Second, the mathematical proof of the fractional-order learning capability of the FMNSW is analyzed. Finally, experimental work and analyses of the electrical characteristics of the FMNSW are presented. Strong ability of the FMNSW in explaining the cellular mechanisms that underlie learning and memory, which is superior to the traditional integer-order memristive neural synaptic weighting, is considered a major advantage for the proposed circuit.

Keywords: 分数阶微积分;分忆抗;分忆抗值;分数阶忆阻;分数阶记忆性突触    

Stability of Boolean networks with state-dependent random impulses

Ya-wen Shen, Yu-qian Guo, Wei-hua Gui,shenyawen@csu.edu.cn,gyuqian@csu.edu.cn,gwh@csu.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 2,   Pages 141-286 doi: 10.1631/FITEE.1900454

Abstract: We investigate the stability of Boolean networks (BNs) with impulses triggered by both states and random factors. A hybrid index model is used to describe impulsive BNs. First, several necessary and sufficient conditions for are obtained. Second, based on the stability criterion of probabilistic BNs and the criterion, the necessary and sufficient conditions for the and the are presented. The relationship between these two kinds of stability is discussed. Last, examples and time-domain simulations are provided to illustrate the obtained results.

Keywords: Boolean network with impulses     Forward completeness     Finite-time stability with probability one     Asymptotical stability in distribution    

Observer-based control for fractional-order singular systems with order Research Article

Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, Xin ZHAO

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 12,   Pages 1862-1870 doi: 10.1631/FITEE.2200294

Abstract: In this paper, for fractional-order with order (0<<1) and is studied. On the basis of the Smith predictor and approximation error, the system with is approximately equivalent to the system without . Furthermore, based on the (LMI) technique, the necessary and sufficient condition of is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.

Keywords: Observer-based control     Singular systems     Fractional order     Input delay     Linear matrix inequality    

Onrobustness of anAMBsuspended energy storage flywheel platform under characteristicmodel based all-coefficient adaptive control laws None

Xujun LYU, Long DI, Zongli LIN

Frontiers of Information Technology & Electronic Engineering 2019, Volume 20, Issue 1,   Pages 120-130 doi: 10.1631/FITEE.1800606

Abstract:

A characteristic model based all-coefficient adaptive control law was recently implemented on an experimental test rig for high-speed energy storage flywheels suspended on magnetic bearings. Such a control law is an intelligent control law, as its design does not rely on a pre-established mathematical model of a plant but identifies its characteristic model while the plant is being controlled. Extensive numerical simulations and experimental results indicated that this intelligent control law outperforms a μ-synthesis control law, originally designed when the experimental platform was built in terms of their ability to suppress vibration on the high-speed test rig. We further establish, through an extensive simulation, that this intelligent control law possesses considerable robustness with respect to plant uncertainties, external disturbances, and time delay.

Keywords: Intelligent control     Robustness     Uncertainty     Disturbance rejection     Active magnetic bearings     Energy storage flywheels    

The Analysis of Dangerous Volumetric Water Content of Unsaturated Soil Slope

Zhang Shilin,Wang Dongmei,Li Genhua

Strategic Study of CAE 2004, Volume 6, Issue 5,   Pages 71-75

Abstract:

This article mainly formulates that rainfall seeping makes the volumetric water of unsaturated soil changing, and the water content relates closely to soil suction. That means soil suction changes with the stability of whole unsaturated soil slope, that is, the safety coefficient has some relationship with volumetric water. So the “dangerous” volumetric water condition cna be determined under which, the unsaturated soil slope also is danger. By monitoring the volumetric water condition changing of unsaturated soil slope, some information of unsaturated soil slope stability can be obtained.

Keywords: unsaturated soil     stability analysis     rainfall seeping     volumetric water     soil suction    

Towards robust neural networks via a global and monotonically decreasing robustness training strategy Research Article

Zhen LIANG, Taoran WU, Wanwei LIU, Bai XUE, Wenjing YANG, Ji WANG, Zhengbin PANG,liangzhen@nudt.edu.cn,wwliu@nudt.edu.cn

Frontiers of Information Technology & Electronic Engineering 2023, Volume 24, Issue 10,   Pages 1375-1389 doi: 10.1631/FITEE.2300059

Abstract: Robustness of deep neural networks (DNNs) has caused great concerns in the academic and industrial communities, especially in safety-critical domains. Instead of verifying whether the robustness property holds or not in certain neural networks, this paper focuses on training with respect to given perturbations. State-of-the-art s, interval bound propagation (IBP) and CROWN-IBP, perform well with respect to small perturbations, but their performance declines significantly in large perturbation cases, which is termed "" in this paper. Specifically, refers to the phenomenon that IBP-family s cannot provide expected in larger perturbation cases, as in smaller perturbation cases. To alleviate the unexpected , we propose a global and training strategy that takes multiple perturbations into account during each training epoch (), and the corresponding robustness losses are combined with monotonically decreasing weights ( training). With experimental demonstrations, our presented strategy maintains performance on small perturbations and the on large perturbations is alleviated to a great extent. It is also noteworthy that our achieves higher model accuracy than the original s, which means that our presented training strategy gives more balanced consideration to robustness and accuracy.

Keywords: Robust neural networks     Training method     Drawdown risk     Global robustness training     Monotonically decreasing robustness    

Thermal Stability Evaluation of Non-explosive and Irrestorable Fertilizer-grade Ammonium Nitrate

Wang Xuguang,Shen Lijin

Strategic Study of CAE 2004, Volume 6, Issue 11,   Pages 53-57

Abstract:

A new method using accelerating rate calorimeter (ARC) was introduced in this paper to evaluate the thermal stability of energetic materials. By the method, the adiabatic decompositions of ammonium nitrate (AN) and non-explosive and irrestorable fertilizer-grade ammonium nitrate (NEIFAN) were investigated. The curves of thermal decomposition temperature and pressure versus time, self-heating rate and pressure versus temperature were obtained. The kinetic parameters such as apparent activation energy and pre-exponential factor were calculated. The effects of thermal inertia factor on the results of measurement of the adiabatic ARC are discussed. It was indicated that NEIFAN has better thermal stability and safety. At the same time, it can be shown that the elimination of NEIFAN explosive characteristic is due to the improvement on its thermal stability.

Keywords: fertilizer-grade ammonium nitrate     non-explosivity     irrestorability     accelerating rate calorimeter     thermal stability    

Progress and Prospect of Seafloor Instability Research

Gao Weijian, Li Wei

Strategic Study of CAE 2023, Volume 25, Issue 3,   Pages 109-121 doi: 10.15302/J-SSCAE-2023.03.010

Abstract:

Seafloor instability and secondary submarine geohazards are widely present in the ocean, posing a threat to submarine infrastructures such as coastal port facilities, offshore drilling platforms, and submarine pipelines and fiber-optic cables. However, formation mechanisms and controlling factors of seafloor instability are still poorly understood. To improve the understanding, based on the history and development of seafloor instability, this study sorts out the common categories, global distribution, and geophysical characteristics, analyzes the formation mechanisms, controlling factors, and engineering geohazards risks, and summarizes popular quantitative analysis methods for seafloor instability. Subsequently, the application and limitations of experimental simulation technology for the slope instability process are discussed. Focused on the disaster mechanism, intelligent analysis of multi-source data, and three-dimensional monitoring of seabed instability, this study proposed the development direction and countermeasures of future seafloor instability research, aiming to provide guiding suggestions for the simulation, prediction, and warning of seafloor instability.

Keywords: seafloor instability     submarine geohazards     formation mechanisms     risk assessment     instability analysis    

Relationship of Structure and Stability in Emulsion Explosvie

Wang Xuguang,Shen Yingfeng

Strategic Study of CAE 2000, Volume 2, Issue 2,   Pages 24-29

Abstract:

Through the study on structure, this paper systematically analysed various factors affecting stability of emulsion explosives, and drew a conclusion that zero osmosis pressure might be a good criterion of its stability. The experimental results show that the osmosis pressures of several kinds of stable emulsion explosive are near zero.

Keywords: emulsion explosives     structure     stability    

Title Author Date Type Operation

Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation

Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado,a_alfi@shahroodut.ac.ir

Journal Article

Controllability of fractional-order damped systems with time-varying delays in control

Bin-bin He, Hua-cheng Zhou, Chun-hai Kou,hebinbin45@126.com,hczhou@amss.ac.cn,kouchunhai@dhu.edu.cn

Journal Article

High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Journal Article

Stability and Instability of Systems—An Extended Discussion on Stir Kinetic Energy Conservation Law

Chen Gangyi,Ouyang Bolin,Yuan Dongsheng,Hao Liping,Zhou Lirong

Journal Article

Adaptive Extension Controller Design for Nonlinear Systems

Wong Qingchang,Chen Zhenyuan

Journal Article

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued neural networks

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Journal Article

Fractional-order memristive neural synaptic weighting achieved by pulse-based fracmemristor bridge circuit

Yifei Pu, Bo Yu, Qiuyan He, Xiao Yuan,heqiuyan789@163.com,yuanxiao@scu.edu.cn

Journal Article

Stability of Boolean networks with state-dependent random impulses

Ya-wen Shen, Yu-qian Guo, Wei-hua Gui,shenyawen@csu.edu.cn,gyuqian@csu.edu.cn,gwh@csu.edu.cn

Journal Article

Observer-based control for fractional-order singular systems with order

Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, Xin ZHAO

Journal Article

Onrobustness of anAMBsuspended energy storage flywheel platform under characteristicmodel based all-coefficient adaptive control laws

Xujun LYU, Long DI, Zongli LIN

Journal Article

The Analysis of Dangerous Volumetric Water Content of Unsaturated Soil Slope

Zhang Shilin,Wang Dongmei,Li Genhua

Journal Article

Towards robust neural networks via a global and monotonically decreasing robustness training strategy

Zhen LIANG, Taoran WU, Wanwei LIU, Bai XUE, Wenjing YANG, Ji WANG, Zhengbin PANG,liangzhen@nudt.edu.cn,wwliu@nudt.edu.cn

Journal Article

Thermal Stability Evaluation of Non-explosive and Irrestorable Fertilizer-grade Ammonium Nitrate

Wang Xuguang,Shen Lijin

Journal Article

Progress and Prospect of Seafloor Instability Research

Gao Weijian, Li Wei

Journal Article

Relationship of Structure and Stability in Emulsion Explosvie

Wang Xuguang,Shen Yingfeng

Journal Article