Article
Automation & Control Systems
Aysegul Kivilcim, Ozkan Karabacak, Rafael Wisniewski
Summary: Recent research has shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. By discussing mode-dependent and edge-dependent average dwell times, the stability of the system is ensured.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Mathematics, Applied
Jimin Yu, Xiaoyu Qi, Yabin Shao
Summary: In reality, due to network delays and system detection, the activation of candidate controllers frequently lags, causing issues with asynchronous switching between controllers and subsystems. This work proposes an asynchronous control technique based on the mode-dependent average dwell time (MDADT) for a class of discrete linear switching systems with time delay to keep the system stable while using asynchronous switching.
Article
Automation & Control Systems
Yunting Wang, Rongqiang Tang, Housheng Su, Yaping Sun, Xinsong Yang
Summary: This article investigates the stabilization issue of switched discrete-time positive systems with delay using asynchronous control, and introduces a new method based on transition probability and mode-dependent average dwell time switching. It designs a mode-dependent controller to stabilize SDPS with unstable subsystems, showing the advantages of the new results through numerical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Automation & Control Systems
Shuting Liu, Hangfeng He, Wenhai Qi, Kaibo Shi
Summary: This paper deals with the asynchronous control of discrete-time switched time-delay system, proposing a new mode-dependent Lyapunov function and designing an asynchronous controller and switching law to achieve globally uniformly asymptotically stable behavior.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Automation & Control Systems
Huaicheng Yan, Hao Zhang, Xisheng Zhan, Yueying Wang, Shiming Chen, Fuwen Yang
Summary: This paper investigates the sliding mode control problem for a class of continuous-time switched neural networks with MDADT, and proposes a novel sliding mode controller based on an event-triggered mechanism. The sufficient conditions for stochastically exponentially stable closed-loop system are derived.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Hao Yin, Bayu Jayawardhana, Stephan Trenn
Summary: This article studies the contraction analysis of switched systems composed of contracting and noncontracting modes. It establishes the equivalence between the contraction of a switched system and the uniform global exponential stability of its variational system. Based on this equivalence, it provides sufficient conditions for a mode-dependent average dwell/leave-time based switching law to be contractive. Additionally, it derives linear matrix inequality (LMI) conditions to numerically validate the contraction property of nonlinear switched systems, including those with all noncontracting modes.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Qiang Yu, Guisheng Zhai
Summary: A novel concept of L phi DADT is proposed in this paper along with new conditions for stability and stabilization of switched systems. These conditions can be easily calculated through simple linear matrix inequalities.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Meng Zhang, Quanxin Zhu, Lijun Gao
Summary: This article investigates the finite-time input/output-to-state stability (FTIOSS) of stochastic switched nonlinear delay systems. It extends the well-known concepts of input/output-to-state stability to finite-time control problems. An unified FTIOSS criteron is established for stochastic switched systems, considering both stable and unstable switching signals. The efficacy of the obtained results is demonstrated by an example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Mengjie Li, Zihan Liu, Tao Sun, Lijun Gao
Summary: This article investigates the input-to-state stability problem of asynchronous discrete-time impulsive switched delayed systems. A novel bounded admissible edge-dependent average dwell time switching signal and an admissible edge-dependent average impulsive interval impulsive signal are designed. A new unified ISS stability result is established, which can be applied to impulsive switched systems with any combination of unstable and stable subsystems.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Xiaoqing Xiao, Lei Zhou
Summary: This paper investigates the IOSS for continuous-time switched nonlinear systems containing both IOSS and non-IOSS constituent subsystems under mode-dependent average dwell time switching signal. New sufficient IOSS conditions are established to extend the existing results to a more general mode-dependent situation. A numerical example is provided to illustrate the effectiveness of the theoretical results.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2021)
Article
Automation & Control Systems
Qiang Yu, Guisheng Zhai
Summary: This paper introduces the concepts of Weighted Average Dwell Time (WADT) and Fast Weighted Average Dwell Time (FWADT) for continuous-time switched systems, and investigates their stability under a class of ergodic switching signals. The relationship between different ADT schemes and the WADT scheme is discussed, showing that classic schemes are included in the new one under certain conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region, and numerical examples are included to illustrate the validity and superiority of the developed techniques.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Engineering, Electrical & Electronic
Mengjiao Wang, Baowei Wu, Yue-E. Wang, Lili Liu
Summary: This paper proposes an AED-ADT approach for the asynchronous finite-time H-8 control of discrete-time switched linear systems. The construction of appropriate Lyapunov functions for asynchronous and synchronous switching is discussed. A sufficient condition for the finite-time boundedness of the closed-loop system with AED-ADT is provided, and a condition for finite-time H-8 control with prescribed H-8 performance is also developed. A numerical example is given to validate the theoretical results.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Computer Science, Information Systems
Yuenan Wang, Wenchengyu Ji, Yulian Jiang, Changbei Zhao, Shenquan Wang
Summary: This paper investigates the fault detection and controller co-design problem for continuous-time nonlinear delayed switched systems based on mode-dependent average dwell time. The closed-loop control strategy is designed simultaneously using various techniques, including piecewise Lyapunov-Krasovskii function and H-infinity control. The proposed technique is validated and shown to be superior through a practical designed solution on highly maneuverable aircraft technology.
Article
Automation & Control Systems
Niankun Zhang, Guoyong Chen
Summary: This article investigates the state-feedback L1$$ {L}_1 $$ finite-time control problem for discrete-time switched positive linear systems with mode-dependent persistent dwell-time (MDPDT) switching. The MDPDT switching is more general than the common dwell-time and average dwell-time switching and can perfectly model a type of switched systems with hybrid slow and fast switching properties. The article adopts multiple linear copositive Lyapunov functions instead of traditional quadratic Lyapunov functions, and utilizes the linear programming approach to derive sufficient criteria of finite-time stability. The relationship between the lower bound of switching signals and parameters of the constructed controllers is successfully found, and a sufficient condition to ensure positive and L1$$ {L}_1 $$ finite-time boundedness of the closed-loop switched system is proposed. The efficiency of the conclusions is validated by two illustrative examples.
OPTIMAL CONTROL APPLICATIONS & METHODS
(2022)
Article
Automation & Control Systems
Ji Qi, Yanhui Li
Summary: This paper addresses the event-triggered L-2 - L-infinity filtering problem for a class of switched linear parameter varying systems, proposing a new sampled delay-dependent and parameterised filtering error switched system. Results on exponential stability and prescribed L-2 - L-infinity performance are achieved by utilizing Lyapunov-Krasovskii functional and mode-dependent average dwell time method. The gains of the parameter-dependent filter with mismatched system mode are solved using linear matrix inequalities, with parallel results for the matched case also obtained.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Computer Science, Software Engineering
Yin Chen, Chuangyin Dang
Summary: This paper introduces a differentiable homotopy method for computing perfect equilibria of normal-form games, establishing a smooth path to a perfect equilibrium by constructing an artificial game and continuously differentiable function. Numerical results show that this method is numerically stable and efficient, outperforming the simplicial homotopy method especially for large-scale problems.
MATHEMATICAL PROGRAMMING
(2021)
Article
Operations Research & Management Science
Honglan Zhu, Qin Ni, Jianlin Jiang, Chuangyin Dang
Summary: In this paper, a new alternating direction trust region method based on conic model is proposed, solving the trust region subproblem in two orthogonal directions in two steps and overcoming the difficulties of solving the conic model subproblem. It shows better performance compared to the dogleg method, especially for large-scale problems.
Article
Operations Research & Management Science
Yang Zhan, Chuangyin Dang
Summary: This paper discusses the computation of equilibrium in an exchange economy with constant returns production technologies. By converting the economy into a pure exchange economy and introducing a complementarity condition, feasibility of production plans is ensured. A homotopy method and path-following algorithm are proposed to solve these problems simultaneously.
ANNALS OF OPERATIONS RESEARCH
(2021)
Article
Computer Science, Software Engineering
Yang Zhan, Chuangyin Dang
Summary: The problem of discontinuity in excess demand functions in the general equilibrium with incomplete asset markets model can be resolved by introducing a new return matrix with constant rank, ensuring continuity within a subset of the price space. By restricting the price vector to this subset, standard homotopy path-following arguments can be employed to handle incomplete markets and provide a constructive proof for the generic existence of general equilibrium. A homotopy method can then be used for computing equilibria in the GEI model, with numerical experiments demonstrating its efficiency.
MATHEMATICAL PROGRAMMING
(2021)
Article
Management
Yiyin Cao, Chuangyin Dang, Zhongdong Xiao
Summary: This paper presents a globally convergent differentiable path-following method for computing subgame perfect equilibria in robust stochastic games. By incorporating a logarithmic-barrier term and an extra variable, the method solves a convex optimization problem in each state and establishes a polynomial equilibrium system. Numerical comparisons demonstrate the superiority of the logarithmic-barrier method over the convex-quadratic-penalty method.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2022)
Article
Operations Research & Management Science
Yiyin Cao, Chuangyin Dang, Yabin Sun
Summary: The paper introduces the application of perfect equilibrium in extensive-form games and proposes a method to enhance Nash's mapping for selecting a perfect equilibrium through an artificial game.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2022)
Article
Operations Research & Management Science
Min Jiang, Zhiqing Meng, Rui Shen, Chuangyin Dang
Summary: The research investigates two methods for two-cardinality sparse constrained optimization problems and provides error estimations for them. Two algorithms are designed based on these methods, and their convergence is proved. Numerical results indicate that the two algorithms have similar effectiveness in finding approximate solutions for the optimization problems.
Article
Computer Science, Interdisciplinary Applications
Yangyang Sun, Chuangyin Dang, Gengzhong Feng
Summary: This paper addresses the versioning issue of enterprise software, considering the distinctive features of the SaaS model and obtaining differentiated results compared with previous work. The research results provide guidelines for software firms in deciding their product releases in the future.
INDUSTRIAL MANAGEMENT & DATA SYSTEMS
(2022)
Article
Automation & Control Systems
Jianqing Liang, Pengfei Zhu, Chuangyin Dang, Qinghua Hu
Summary: This paper introduces a semi-supervised Laplace-regularized multimodal metric-learning method, which explores a joint formulation of multiple metrics and weights to learn appropriate distances from multimodal and high-dimensional features.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Economics
Yiyin Cao, Chuangyin Dang
Summary: The linear tracing procedure is crucial in the equilibrium selection theory but fails to always select a perfect equilibrium when there are more than two players. To address this issue, we develop a variant of the linear tracing procedure by creating a perturbed game and establish the existence of a smooth path from a unique starting point to a perfect equilibrium using optimality conditions and transformations on variables. Additionally, we propose variant procedures to select a perfect equilibrium.
GAMES AND ECONOMIC BEHAVIOR
(2022)
Article
Computer Science, Artificial Intelligence
Xinyao Guo, Wei Wei, Jianqing Liang, Chuangyin Dang, Jiye Liang
Summary: Constraint selection is an effective approach to deal with the problem of excessive constraints in metric learning. This article introduces a novel metric learning algorithm, ML-PHI, which perturbs hard-to-classify instances to reduce over-fitting and mitigate the negative impact of those instances.
PATTERN RECOGNITION
(2022)
Review
Computer Science, Cybernetics
Jin Yang, Zili Zhang, Chuangyin Dang, Ziqiong Zhang
Summary: This study investigates the role of user stickiness in review posting behavior and found that sticky users are more likely to engage in review posting related to a product. The positive stickiness-post effect varies based on user expertise, product type, and product provider scale. These findings provide insights for product providers to understand and gather user intelligence.
BEHAVIOUR & INFORMATION TECHNOLOGY
(2023)
Article
Computer Science, Information Systems
Xinyao Guo, Lin Li, Chuangyin Dang, Jiye Liang, Wei Wei
Summary: Adaptive distance metric learning based on data characteristics can improve learner's performance significantly. Multiple local metric learning is an essential tool to describe local properties of heterogeneous data. The proposed Multiple Metric Learning via Local Metric Fusion (MML-LMF) framework unifies local metric learning and fusion of similar local metrics, adaptively determines the number of local metrics, and outperforms existing state-of-the-art global and multiple metric learning algorithms, as demonstrated on various benchmarks and datasets.
INFORMATION SCIENCES
(2023)
Article
Mathematics, Applied
Min Jiang, Rui Shen, Zhiqing Meng, Chuangyin Dang
Summary: This paper defines a convertible nonconvex function (CN function for short) and a weak (strong) uniform (decomposable, exact) CN function, proves the optimization conditions for their global solutions, and proposes algorithms for solving the unconstrained optimization problems with decomposable CN functions. The operational properties of CN functions are proved, and the optimization conditions for the global optimal solution with weak uniform CN function are also proved. A decomposable algorithm is proposed and its convergence is proved. The numerical results demonstrate the effectiveness of the decomposable algorithm in solving the unconstrained optimization problems with CN function.
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS
(2023)
Article
Computer Science, Interdisciplinary Applications
Chuangyin Dang, P. Jean-Jacques Herings, Peixuan Li
Summary: This paper introduces an interior-point differentiable path-following method (IPM) for computing subgame perfect equilibrium in stationary strategies (SSPE) in stochastic games. The proposed IPM method has several advantages over existing methods and has been shown to be more efficient and reliable.
INFORMS JOURNAL ON COMPUTING
(2022)
