Article
Engineering, Multidisciplinary
V. E. Sathishkumar, R. Vadivel, Jaehyuk Cho, Nallappan Gunasekaran
Summary: In this paper, the finite-time dissipativity analysis of Markovian jump-delayed neural networks (MJDNNs) is studied. Less conservative results for extended dissipativity conditions are established for delayed MJDNNs. An appropriate Lyapunov-Krasovskii functional (LKF) with novel inequality, the composite slack-matrix-based integral inequality (CSMBII), is used to achieve this. Sufficient conditions including CSMBII are employed to derive a delay-dependent finite-time dissipativity condition in terms of linear matrix inequalities (LMIs), which are used to formulate the finite dissipativity condition for the delayed MJNNs. Numerical examples confirm the utility of the suggested approach, including a real-world application of the benchmark problem associated with the designed MJDNNs.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Automation & Control Systems
Guoliang Wang, Qiang Fan
Summary: This article discusses the stabilization problem of continuous-time semi-Markovian jump systems and proposes a stochastically scheduled controller. Sufficient conditions for such a controller are presented with LMI forms. A practical example is used to verify the effectiveness and superiority of the proposed methods.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Computer Science, Information Systems
Ting Cai, Pei Cheng
Summary: This paper investigates the exponential stability of nonlinear discrete-time systems with stochastic impulses and Markovian jump. The conditions for exponential stability of the pth moments are established. The effectiveness of the proposed method is further verified with three examples.
Article
Automation & Control Systems
Guifang Cheng, Yuanyuan Ju, Xiaowu Mu
Summary: This paper explores the stochastic finite-time stability and state feedback controller design for linear semi-Markovian jump systems with generally uncertain transition rates. A sufficient condition is established using a stochastic Lyapunov functional, and a state feedback controller is obtained based on linear matrix inequality conditions to ensure finite-time stabilization. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Han Dong, Shaosheng Zhou
Summary: This paper investigates the problems of stochastic admissibility and extended dissipativity analysis, as well as state feedback controller design, for interval type-2 singular systems with nonhomogeneous Markovian switching. A novel lemma is proposed for developing the state feedback controller, and simulation examples are provided to validate the effectiveness of the proposed approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Chi Zhang, Jun-Guo Lu
Summary: This article investigates the robust stochastic stability problem and robust H-2 performance problem of discrete-time Markovian jump linear systems with uncertain transition probabilities. Perturbation bounds for robust stochastic stability are obtained using the Kronecker product and mu analysis. The problem is transformed into the judgment of the nonsingularity of uncertain matrices. Exact upper and lower bounds for robust H-2 performance are also obtained. A sufficient and necessary condition for guaranteeing robust H-2 performance is derived. The results are given in terms of the structured singular value, and numerical examples are provided to demonstrate the effectiveness of the proposed results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Chan-eun Park, Nam Kyu Kwon, PooGyeon Park
Summary: This article proposes a new strictly bounded real lemma (BRL) for continuous-time singular Markovian jump systems (SMJSs) in terms of strict linear matrix inequalities (LMIs). Based on the proposed BRL, the sufficient condition for state-feedback stabilization is successfully obtained, leading to finding the minimal Script capital H-infinity performance by solving the optimization problem subject to the suggested LMIs. Two examples demonstrate the less conservatism of the proposed method compared with the previous work.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Jin Zhu, Kai Xia, Qiang Ling, Wei Chen, Geir E. Dullerud
Summary: This article focuses on a specific type of discrete-time switched linear systems, where the switching signal is controlled by a Markov chain. It investigates the switching law design and seeks to find an optimal mode feedback controller to minimize a quadratic performance index. The admissible set of the mode feedback control is explored, and sufficient conditions for desired stochastic stability are derived. Algorithms are proposed for approximating the original performance index and calculating the optimal mode feedback controller. The effectiveness of the proposed mode feedback control mechanism is demonstrated through simulation results.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Te Yang, Zhen Wang, Xia Huang, Jianwei Xia, Guoliang Chen
Summary: This paper addresses the controller design problem for stochastic Markovian jump systems under aperiodic sampled-data control, presenting two different stability conditions and designing corresponding controllers. The effectiveness of the method is illustrated through the application of a practical aircraft model. It is shown that the mode-dependent two-sided loop-based Lyapunov functional can achieve a larger sampling interval upper bound compared to the mode-dependent one-sided loop-based Lyapunov functional.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Applied
Marimuthu Tamil Thendral, Thiruvannamalai Radhakrishnan Ganesh Babu, Arunachalam Chandrasekar, Yang Cao
Summary: In this paper, the Markovian jump neural networks are used to synchronize sampled-data control systems with two additive delay components, and its direct application in image encryption is explored. By considering information states with tuning parameter and slack variable, the control performance and flexibility are improved. Several examples are highlighted in the numerical section, and the effectiveness of image encryption is studied.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Automation & Control Systems
Hui Zhao, Weidong Li, Zhicheng Li, Yu Ren
Summary: This article investigates the problem of dynamic event-triggered control for Markovian jump linear systems with time-varying delay. The proposed dynamic ETC reduces the transmission frequency and conditions of stochastic stability are proposed using a novel stochastic Lyapunov-Krasovskii functional and scaled stochastic small-gain theorem. By designing dynamic ETC, conservatism for stability results is reduced and transmission efficiency is improved.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Engineering, Electrical & Electronic
Yao Wang, Shengyuan Xu, Choon Ki Ahn
Summary: This paper investigates the almost sure finite-time sliding mode control issue for Markov jump systems and studies the switching asynchronism between the constructed controller and considered systems. The influence of time-varying delays and disturbances on systems is fully considered, and the sliding mode controller design within a finite time interval is extended to the probability framework. The effectiveness and less conservativeness of the method are verified through numerical and circuit examples.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Automation & Control Systems
Gui-Hua Zhao, Xue Zhang
Summary: In this paper, the finite-time stabilization of a class of nonlocal Lipschitzian stochastic nonlinear systems with Markovian switching and stochastic inverse dynamics is investigated. The finite-time stability theory for stochastic nonlinear systems with Markovian switching under the framework of weak solutions is presented. Furthermore, a finite-time controller with state feedback is constructed for a class of stochastic high-order nonlinear systems with Markovian switching and stochastic inverse dynamics. It is proved that the trivial weak solution of the closed-loop system is globally finite-time stable in probability. Finally, the effectiveness of the proposed design method is verified through a simulation example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Yuzhu Bai, Hui-Jie Sun, Ai-Guo Wu
Summary: This paper investigates the finite-time stability analysis and stabilization for Markovian jump linear systems with incomplete transition descriptions. Two sufficient conditions are proposed to ensure that the system states do not exceed a certain threshold in mean-square sense, and two state feedback controllers are developed to solve the finite-time stochastic stabilization problems. All conditions are formulated in the format of linear matrix inequalities (LMIs) for computational convenience, resulting in more concise solutions for the finite-time controllers.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2021)
Article
Automation & Control Systems
Guoliang Wang
Summary: This paper proposes a principle for designing a controller based on the stationary probability sequence of continuous-time semi-Markovian jump systems, and derives sufficient conditions for the existence of the designed controller using a Lyapunov function approach and LMIs. The controller mentioned in the paper is proven to be a minimal variance approximation of mode-dependent controllers, and more special cases are further studied. A practical example is used to demonstrate the effectiveness and superiority of the proposed methods.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Automation & Control Systems
Ting Hou, Hongji Ma, Weihai Zhang
Article
Automation & Control Systems
Ting Hou, Hongji Ma
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2016)
Article
Mathematics, Applied
Hongji Ma, Yingmin Jia
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2016)
Article
Mathematics, Applied
Hong-ji Ma, Ting Hou
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
(2013)
Article
Automation & Control Systems
Hongji Ma, Weihai Zhang, Ting Hou
Article
Automation & Control Systems
Hongji Ma, Yingmin Jia
INTERNATIONAL JOURNAL OF CONTROL
(2013)
Article
Automation & Control Systems
Hongji Ma, Yingmin Jia
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2014)
Article
Mathematics
Hongji Ma, Yang Wang
Summary: This paper addresses an H-2 optimal control problem for a class of discrete-time stochastic systems with Markov jump parameter and multiplicative noises. The Gramian characterization is derived for the H-2 norm, and a zero-order stabilizing feedback controller is used to solve the optimal control problem. An iterative algorithm is provided to obtain the solution of the Riccati equations.
Article
Automation & Control Systems
Hongji Ma, Yuechen Cui, Zhen Wang
Summary: This paper addresses the stability and observability issues of discrete-time mean-field stochastic systems with periodic coefficients and multiplicative noise. Spectral criterion and Lyapunov-type criterion are presented for asymptotic mean square stability and weak stability by constructing a monodromy operator associated with the periodic coefficients. A necessary and sufficient condition for regional stabilizability is provided based on the Lyapunov criterion. Furthermore, the Popov-Belevitch-Hautus (PBH) criterion is obtained for the observability of mean-field stochastic periodic systems. The proposed spectral criterion clarifies the intrinsic relationships among deterministic periodic systems, stochastic periodic systems, and mean-field stochastic periodic systems. Finally, a Barbashin-Krasovskii stability theorem is established as an application of the PBH criterion to indicate the connection between observability and stability of the considered systems.
