Article
Mathematics, Applied
Yalin Deng, Huasheng Zhang, Yuzhen Dai, Yuanen Li
Summary: This paper considers the interval stability/stabilization of linear stochastic switched time-varying delay systems. Firstly, the definition of interval stability is provided and the sufficient conditions for interval stability of linear stochastic switched systems are addressed. Different from current stability conditions, the interval stability criterion can make more accurate judgment than stability of linear stochastic switched time-varying delay systems. Secondly, the criterion for interval stabilization is obtained by linear matrix inequalities, which can not only ensure the stability of the system but also accelerate or slow down the convergence of the system. Finally, the validity of the theoretical results is verified through digital simulation and water quality preservation problem.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
Thanasak Mouktonglang, Suriyon Yimnet
Summary: This paper analyzes the global stability problem of a class of linear switched positive time-varying delay systems with interval uncertainties using a fast average dwell time switching. The research considers all subsystems to be unstable and investigates both the continuous-time and discrete-time cases. By constructing a specific Lyapunov-Krasovskii functional, novel sufficient conditions are derived to guarantee the stability of the systems. Additionally, new stability criteria are formulated for systems without interval uncertainties. Simulation examples are provided to demonstrate the efficiency and validity of the theoretical results.
JOURNAL OF FUNCTION SPACES
(2022)
Article
Automation & Control Systems
Ruicheng Ma, Qi Chen, Shengzhi Zhao, Jun Fu
Summary: This article proposes a new type of multiple time-varying linear co-positive Lyapunov functions for designing state feedback controllers for switched positive systems. Sufficient conditions for the exponentially stabilization of the studied systems under dwell-time switching are provided, and the convex hull technique is utilized to deal with actuator saturation. An example of a turbofan engine model is presented to demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Ruihua Wang, Yunpeng Zhan, Shumin Fei
Summary: This work presents an asynchronous convex Lyapunov function and an inverse weighted switching scheme to address the asynchronous finite-time H∞ control problem for discrete-time switched systems. By partitioning the switching interval into three sections, a convex Lyapunov function is designed to reduce conservatism. The inverse weighted switching is used to relax the dwell time restriction of each subsystem, and the l2-gain analysis is conducted to derive the asynchronous finite-time H∞ controller. Two numerical examples and an application example are provided to validate the proposed results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Qian Shen, Yihan Chen
Summary: This paper discusses the stability issue of discrete-time switched systems governed by cyclic switching laws. By establishing inverse-timer-based multiple Lyapunov functions (ITBMLFs), this paper relaxes the limitations of existing findings on discrete-time cyclic switched systems (DTCSSs). The proposed ITBMLFs are more flexible in terms of computational complexity adjustment and effective for DTCSSs with a large number of subsystems. The stability conditions for DTCSSs with entirely or partially stable, or even completely unstable subsystems are enhanced based on the cycle-dependent average dwell time (CD-ADT) concept and ITBMLF approach. The robust stability of DTCSSs considering norm-bounded and time-varying parameter uncertainties (NBTVPUs) is also achieved. The numerical examples demonstrate the effectiveness and superiority of the proposed technologies.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Zhenrui Cao, Yingxue Du, Jianlong Qiu, Ancai Zhang, Zhi Liu
Summary: This paper investigates the hybrid control strategy (HCS) for time-varying delay positive switched linear systems (PSLS) with unstable modes. The HCS, including minimum switching strategy and discretized state feedback controller, is applied to PSLS with time-varying delay for the first time. A sufficient condition of globally uniformly asymptotically stable (GUAS) under the HCS is given using the discretized multiple linear copositive Lyapunov-Krasovskii functional. The HCS is also extended to discrete-time positive switched time delay systems, and a delay independent stabilization condition is obtained in the discrete system. The effectiveness of the HCS is verified by two simulation examples.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Gengjiao Yang, Fei Hao, Lin Zhang, Bohu Li
Summary: This paper investigates the saturated control problem for positive switched Takagi-Sugeno (T-S) fuzzy systems with partially controllable subsystems. New fuzzy control schemes are proposed and sufficient conditions for stability are developed. Simulation results demonstrate the effectiveness of the proposed control schemes.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
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
Shuang An, Ruicheng Ma, Jun Fu
Summary: This article investigates the robust exponential stabilization of a class of switched positive systems with uncertainties by co-designing controllers for subsystems and dwell time switching strategy. The uncertainties refer to interval uncertainties. The article proposes a solution to the robust exponential stabilization problem for switched positive systems with uncertainties by co-designing state feedback controllers and adjusting the values of Lyapunov functions. The effectiveness of the proposed methods is illustrated through examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Hangli Ren, Yifan Wang
Summary: This paper discusses the event-triggered composite anti-bump H infinity control problem for the networked switched systems in the finite-time stability sense. An event-triggered scheme is constructed to reduce resource usage while maintaining desired control performance. The paper also proposes a novel switching bumpless control method based on the event-triggered scheme. The efficacy and feasibility of the proposed control strategy is demonstrated through a simulation example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
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
Junjie Lu, Zhikun She, Fucheng Liao
Summary: This paper focuses on the stability of time-varying discrete-time switched systems, discussing necessary and sufficient conditions for asymptotic stability, exponential stability, uniform exponential stability, and finite-time stability. Theoretical results are illustrated with practical examples, and the discussion extends to global exponential stabilizability and global uniform exponential stabilizability of time-varying switched nonlinear systems. Compared to traditional approaches, the paper relaxes requirements on the negativity of Lyapunov functions' time differences.
IET CONTROL THEORY AND APPLICATIONS
(2021)
Article
Mathematics, Applied
Yanhao Ju, Fanwei Meng, Yuangong Sun
Summary: This paper investigates the exponential stability of positive switched linear systems with impulse, establishing new criteria and applying them to the consensus of multi-agent systems. The proposed conditions suggest that all switched subsystems could be unstable, with three examples demonstrating the effectiveness and superiority of the method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Automation & Control Systems
Ning Xu, Yun Chen, Anke Xue, Guangdeng Zong
Summary: This paper addresses the problems of finite-time stability and stabilization for continuous-time switched positive linear time-delay systems. By constructing a multiple piecewise copositive Lyapunov-Krasovskii functional, finite-time stability conditions are established, and finite-time stabilization is achieved by designing a state-feedback controller in the form of linear programming. The proposed controller construction approach reduces conservatism.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
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
Yang Li, Hongbin Zhang, Dianhao Zheng, Yanhui Wang
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2018)
Article
Computer Science, Artificial Intelligence
Yang Li, Hongbin Zhang, Qunxian Zheng
Article
Automation & Control Systems
Yang Li, Hongbin Zhang
Article
Automation & Control Systems
Yang Li, Hongbin Zhang, Liangliang Zhang
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2019)
Article
Automation & Control Systems
Yang Li, Hongbin Zhang
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2019)
Article
Automation & Control Systems
Yang Li, Hongbin Zhang
Article
Automation & Control Systems
Yang Li, Wenju Du, Xiaozeng Xu, Hongbin Zhang, Jianwei Xia
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2019)
Article
Automation & Control Systems
Yanhui Wang, Hongbin Zhang, Xiang Mao, Yang Li
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2019)
Article
Automation & Control Systems
Xiaozeng Xu, Yang Li, Can Liu, Hongbin Zhang
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2020)
Article
Engineering, Electrical & Electronic
Yang Li, Hongbin Zhang
Summary: This paper addresses stability and estimator design issues for switched positive linear systems with average dwell time (ADT). A reverse-timer-dependent linear co-positive Lyapunov function (RLCLF) is proposed, leading to a new stability criteria and a sufficient condition for the existence of state estimator. The results obtained by RLCLF approach are shown to be less conservative compared with those in the literature, and the advantages of the approach are illustrated through two examples.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Automation & Control Systems
Yang Li, Weiming Xiang, Hongbin Zhang, Jianwei Xia, Qunxian Zheng
Summary: This article addresses stability issues for switched linear systems (SLSs) with mode-dependent average dwell time (MDADT) by introducing a new reverse-timer-dependent multiple discontinuous Lyapunov function (RTDMDLF) method. With this approach, various convex and nonconvex stability conditions for SLSs with both stable and unstable subsystems are derived, and the relationship between these conditions and existing ones is revealed. The results are presented in terms of infinite-dimensional linear matrix inequalities (LMIs) and show that the RTDMDLF approach can achieve a tighter bound of MDADT compared to existing literature.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Engineering, Electrical & Electronic
Yang Li, Hongbin Zhang
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2018)
Proceedings Paper
Computer Science, Information Systems
Hongfei Zhao, Yang Li
2017 4TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE)
(2017)
Article
Automation & Control Systems
Yihao Xu, Alexandre Seuret, Kun Liu, Senchun Chai
Summary: The recent literature on event-triggered control has shown the potential of dynamic periodic event-triggered control. The benefit of considering periodic event-triggered control is to avoid the Zeno phenomenon. This paper proposes a generic framework to emulate aperiodic dynamic event-triggered control law and relaxes the constraint on the periodicity of the allowable sampling instants.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Yuan Tian, Chunxue Li, Jing Liu
Summary: Competition is a common biological relationship in nature, especially for fish species. This study proposes three novel mathematical models for competition between two fish populations, with control based on linear correlation feedback. The models consider different scenarios and purposes, including avoiding extinction of an inferior population, maximizing economic benefits, and preventing extinction due to unequal competition. The study provides effective control strategies and parameter optimization designs for these scenarios. Numerical simulations are conducted to demonstrate the theoretical results and feasibility of the control strategies. The findings contribute to our understanding of competition dynamics and provide insights for achieving coexistence in two-population systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Everaldo de Mello Bonotto, Piotr Kalita
Summary: We propose new criteria for the existence of global attractors for problems with state-dependent impulses that are more general than those previously known. Our results are applicable to both nonunique and unique solutions, and we provide collective versions of the criteria that demonstrate the upper-semicontinuity of global attractors under perturbation. The theory is illustrated through examples of ODEs and PDEs.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Feng Li, Zhenghao Ni, Lei Su, Jianwei Xia, Hao Shen
Summary: This paper addresses the problem of finite-region passive control for 2-D Markov jump Roesser systems, considering the partial statistical information issues on Markov parameters and transition probabilities. A 2-D hidden Markov model with partial statistical information is established to model this situation. The goal is to design a controller based on the 2-D hidden Markov model that ensures finite-time boundedness of both horizontal and vertical states of the 2-D Markov jump Roesser systems, while meeting a passive performance criterion. By employing the Lyapunov function method, criteria for the finite-region boundedness of 2-D Markov jump Roesser systems are developed, and a design method for the asynchronous controller based on the 2-D hidden Markov model is presented. The effectiveness of the proposed design method is validated through an illustrative example.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Mahathi Anand, Abolfazl Lavaei, Majid Zamani
Summary: This paper proposes a compositional scheme for constructing control barrier certificates for interconnected discrete-time stochastic systems, which can synthesize switching controllers satisfying w-regular properties and provide probabilistic guarantees for specification satisfaction. The proposed scheme leverages interconnection topology and control sub-barrier certificates of subsystems to compositionally construct control barrier certificates of interconnected systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Weijun Ma, Bo Yang, Yuanshi Zheng
Summary: This paper develops new practical stability criteria for impulsive stochastic functional differential systems with distributed-delay dependent impulses, and shows that under certain conditions, the practical exponential stability of the systems remains unchanged.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Xueying Ding, Jianquan Lu, Xiangyong Chen
Summary: This paper investigates the stability of impulsive logical dynamic systems (ILDNs) from the perspectives of impulsive disturbance and impulsive control. The existing results on ILDN stability only consider a given impulsive instant sequence (IIS), which is restrictive. The paper proposes necessary and sufficient conditions for ILDN stability under any IIS by constructing a merged ILDN. However, these conditions are too strict as it is uncommon for a stable LDN to remain stable under any IIS. The paper introduces the concepts of impulsive disturbances and impulsive control, and presents sufficient conditions for LDN stability under time-triggered IISs with average impulsive interval. These results are also applied to set stability of ILDNs.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Chunmei Zhang, Huiling Chen, Qin Xu, Yuli Feng, Ran Li
Summary: This article discusses a class of stochastic hybrid delayed coupled systems with multiple weights, and derives several conditions for asymptotic synchronization and topology identification of the systems based on Kirchhoff's Matrix-Tree Theorem and Lyapunov stability theory.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Yan Zhu, Zhendong Sun
Summary: In this work, we address the minimum realization problem for controllability and observability of both continuous-time and discrete-time switched linear systems, and provide results for the tight upper bound.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Weilian Liu, Xinyi He, Xiaodi Li
Summary: This paper investigates the problem of global exponential stability for nonlinear delay impulsive systems. By extending the traditional comparison principle and estimating the effects of delay on continuous and discrete dynamics, the internal relationship between delays, parameters of impulsive control, and continuous dynamics is revealed. Sufficient criteria for global exponential stability are obtained, quantitatively demonstrating the beneficial influences of delays on the system performance.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)
Article
Automation & Control Systems
Yanan Qi, Xianfu Zhang, Yanjie Chang, Rui Mu
Summary: This paper proposes a switching event-triggered approach to address the global output-feedback stabilization problem for a class of uncertain nonlinear systems. By using an event-triggered mechanism and a logic-based switching mechanism, the proposed approach determines the timing for sampling and switching control parameters, and develops an observer-based control scheme. With the ability to adaptively adjust the control parameter, this scheme has a stronger capability to handle large uncertainties, inherent nonlinearities, and sampling errors.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2024)