Event-Triggered Control of Sampled-Data Nonlinear Systems**This work was supported by Saint Petersburg State University, (grant 6.38.230.2015) and by Government of Russian Federation, Grant 074-U01. The Lyapunov-Krasovskii functional based analysis of closed-loop switched system was performed in IPME RAS under support of Russian Science Foundation (grant 14-29-00142)

This paper is concerned with the problem of global stabilization for switched stochastic nonlinear systems under arbitrary switchings. Based on the unbounded time-varying scaling of states, we design a state feedback controller to render the closed-loop switched system asymptotically stable in probability. Two examples are given to demonstrate the effectiveness of the proposed control scheme.

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THE WORD ABOUT THE RESEARCHER, TEACHER AND ORGANIZER OF SCIENCE: TO THE ANNIVERSARY OF RIMMA DMITRIEVNA GOLDINA

Yearbook of Finno-Ugric Studies ◽

10.35634/2224-9443-2021-15-4-663-667 ◽

2021 ◽

Vol 15 (4) ◽

pp. 663-667

Author(s):

Nadezhda Ivanovna Shutova

Keyword(s):

Higher Education ◽

Russian Federation ◽

State Prize ◽

State University ◽

The Urals ◽

Russian Science ◽

Organizational Skills ◽

Udmurt Republic ◽

The Russian Federation ◽

Scientific Achievements

The article is devoted to the anniversary of Rimma Dmitrievna Goldina. Dr. R. D. Goldina is the prominent archeologist and Doctor of Historical Sciences, Professor of the Department of the Udmurt History, Archeology and Ethnology, Director of the Research Institute of the Urals Peoples History and Culture (since 1993), and Dean of the Faculty of History (1980-1991) in the Udmurt State University, “Honored Scientist of the Udmurt Republic” (1991), “Laureate of the State Prize of the Udmurt Republic” (2001), “Honored Worker of the Higher Education of the Russian Federation” (2002), Honorary Citizen of the Udmurt Republic (2021), the founder and head/leader of the archaeological collective of the Udmurt State University. During the period of the scientific research Dr. R.D. Goldina published more than twenty single author and multi-author monographs, as well as more than three hundred articles on the ancient and medieval history and culture of the Permian peoples. Here is the main aspects of the life and work of R. D. Goldina, and her public and academic activity describes in a brief form. Through her scientific achievements and organizational skills, she made the significant / important contribution to the development of archaeological thought in the Kama-Vyatka region and to the treasury of Russian science.

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Periodic Event-Triggered Condition Design for the Consensus of Multiagent Systems with Communication Delays

Mathematical Problems in Engineering ◽

10.1155/2016/3408152 ◽

2016 ◽

Vol 2016 ◽

pp. 1-9

Author(s):

Feng Zhou ◽

Zhiwu Huang ◽

Weirong Liu ◽

Liran Li ◽

Kai Gao

Keyword(s):

Multiagent Systems ◽

Closed Loop ◽

Undirected Graph ◽

Communication Delays ◽

Sampled Data ◽

Quadratic Lyapunov Function ◽

Linear Dynamical Systems ◽

Data Control ◽

Systems Simulation ◽

Event Triggered

This paper focuses on the periodic event-triggered consensus problem for multiagent systems under undirected graph. In the periodic event-triggered control, the event condition is tested only periodically to decide when to exert the control behaviors and when to broadcast the sampling data. Two sets of event-triggered strategies combining with sampled-data control are designed based on an exponential decay function and a quadratic Lyapunov function, respectively. Some useful theorems for these two periodic event-triggered strategies about the choice of period are derived to guarantee the asymptotical stability of the closed-loop multiagent systems. In addition, this paper gives a sufficient condition about the bounds of communication delay for the multiagent systems. It is rigorously proved that the overall system will achieve the consensus under the proposed strategy if the period and time delay satisfy the theorems. Finally, we extend these solutions to general linear dynamical systems. Simulation results are presented to show the effectiveness.

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