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Distributed output regulation for linear multi-agent systems with unknown leaders

Xinghu Wang, Haibo Ji, Chuanrui Wang (2013)

Kybernetika

In this paper, the distributed output regulation problem of linear multi-agent systems with parametric-uncertain leaders is considered. The existing distributed output regulation results with exactly known leader systems is not applicable. To solve the leader-following with unknown parameters in the leader dynamics, a distributed control law based on an adaptive internal model is proposed and the convergence can be proved.

Distributed resilient filtering of large-scale systems with channel scheduling

Lili Xu, Sunjie Zhang, Licheng Wang (2020)

Kybernetika

This paper addresses the distributed resilient filtering for discrete-time large-scale systems (LSSs) with energy constraints, where their information are collected by sensor networks with a same topology structure. As a typical model of information physics systems, LSSs have an inherent merit of modeling wide area power systems, automation processes and so forth. In this paper, two kinds of channels are employed to implement the information transmission in order to extend the service time of sensor...

Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling

G. A. Koch-Noble (2011)

Mathematical Modelling of Natural Phenomena

Pharmacokinetics is an excellent way to introduce biomathematical modeling at the sophomore level. Students have the opportunity to develop a mathematical model of a biological phenomenon to which they all can relate. Exploring pharmacokinetics takes students through the necessary stages of mathematical modeling: determining the goals of the model, deciphering between the biological aspects to include in the model, defining the assumptions of the model, and finally, building, analyzing, using, and...

Ecological-Economic Model of the Region: Information Technology, Forecasting and Optimal Control

V. Gurman, V. Baturin (2009)

Mathematical Modelling of Natural Phenomena

The paper considers a methodology of mathematical modeling of ecological-economic processes at the regional level. The basis of the model is formed by equations, which describe two interacting blocks: economic and ecological ones. Equations of the economic block are represented by relations of generalized inter-branch balance, while the ecological part is described in terms of differential equations with deviations with respect to some given state of natural resources. Issues of i) information...

Efficient numerical algorithms for balanced stochastic truncation

Peter Benner, Enrique Quintana-Ortí, Gregorio Quintana-Ortí (2001)

International Journal of Applied Mathematics and Computer Science

We propose an efficient numerical algorithm for relative error model reduction based on balanced stochastic truncation. The method uses full-rank factors of the Gramians to be balanced versus each other and exploits the fact that for large-scale systems these Gramians are often of low numerical rank. We use the easy-to-parallelize sign function method as the major computational tool in determining these full-rank factors and demonstrate the numerical performance of the suggested implementation of...

Evaluating the Kernighan-Lin heuristic for hardware/software partitioning

Zoltán Mann, András Orbán, Viktor Farkas (2007)

International Journal of Applied Mathematics and Computer Science

In recent years, several heuristics have been proposed for the hardware/software partitioning problem. One of the most promising directions is the adaptation of the Kernighan-Lin algorithm. The Kernighan-Lin heuristic was originally developed for circuit partitioning, but it has been adapted to other domains as well. Moreover, numerous improvements have been suggested so that now several variants of the original algorithm exist. The aim of this paper is to systematically evaluate the possibilities...

Event-triggered control of cyber-physical systems under asynchronous denial of service attacks

Huaye Peng, Chen Peng, Yong Shao, Deliang Zeng (2020)

Kybernetika

This paper addresses event-triggered control cyber-physical systems under asynchronous denial of service attacks. First, a general attack model is given, which allows us to conveniently model the asynchronous denial of service attacks within measurement and control channels in a unified framework. Then, under a delicate event triggered communication mechanism, a refined switching control mechanism is proposed to account for various attack intervals and non-attack intervals. Furthermore, sufficient...

Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems

Dibyendu Baksi, Kanti B. Datta, Goshaidas Ray (2002)

Kybernetika

A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation T 2 X = T 1 is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.

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