There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

This paper reviews some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006. Distributed coordination of multiple vehicles, including unmanned aerial vehicles, unmanned ground vehicles, and unmanned underwater vehicles, has been a very active research subject studied extensively by the systems and control community. The recent results in this area are categorized into several directions, such as consensus, formation control, optimization, and estimation. After the review, a short discussion section is included to summarize the existing research and to propose several promising research directions along with some open problems that are deemed important for further investigations.

/pdf/an-overview-of-recent-progress-in-the-study-of-distributed-1xnb6e12se.pdf

An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination

This article reviews some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006. Distributed coordination of multiple vehicles, including unmanned aerial vehicles, unmanned ground vehicles and unmanned underwater vehicles, has been a very active research subject studied extensively by the systems and control community. The recent results in this area are categorized into several directions, such as consensus, formation control, optimization, task assignment, and estimation. After the review, a short discussion section is included to summarize the existing research and to propose several promising research directions along with some open problems that are deemed important for further investigations.

An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination

(1990). ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY. Electric Machines & Power Systems: Vol. 18, No. 2, pp. 209-210.

Energy function analysis for power system stability

Modern Graph Theory

http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac2008/data/papers/0800.pdf

Synchronization of complex dynamical networks with switching topology: A switched system point of view

This paper presents a framework for global synchronization of dynamical networks with nonidentical nodes. Several criteria for synchronization are given using free matrices for both cases of synchronizing to a common equilibrium solution of all isolated nodes and synchronizing to the average state trajectory. These criteria can be viewed as generalizations of the master stability function method for local synchronization of networks with identical nodes to the case of nonidentical nodes. The controlled synchronization problem is also studied. The control action, which is subject to certain constraints, is viewed as reorganization of the connection topology of the network. Synchronizability conditions via control are put forward. The synchronizing controllers can be obtained by solving an optimization problem.

/pdf/synchronization-of-dynamical-networks-with-nonidentical-1xk48u1iuw.pdf

Synchronization of Dynamical Networks With Nonidentical Nodes: Criteria and Control

This paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. By using stability theory of switched systems and the network topology, the synchronization of such a network under some special switching signals is investigated. Firstly, under the assumption that all subnetworks are self-synchronizing, a delay-dependent sufficient condition is given in terms of linear matrix inequalities, which guarantees the solvability of the local synchronization problem under an average dwell time scheme. Then this result is extended to the situation that not all subnetworks are self-synchronizing. For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization of the entire switched network. The global synchronization of a network whose isolate dynamics is of a particular form is also studied. Three different examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.

/pdf/exponential-synchronization-of-complex-delayed-dynamical-2872th1t28.pdf

Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology

Rotational Inertia is an integral part of any electric power system. Due to the increased use of power electronics—both to connect Renewable Energy Sources (RES) and as drives for electric motors—inertia levels are generally reduced and become time dependent. The same power electronic technologies can also be used to actively provide inertia to the power system, raising the question what effect changes in inertia has on power system stability, and how to best place devices providing virtual inertia. We propose an optimization program that answers these question, and analytically derive the sensitivities of transient frequency overshoot and damping ratio to inertia and damping. An example shows how damping ratio can be improved while transient frequency limits are respected.

Effects of rotational Inertia on power system damping and frequency transients

This letter considers the problem of voltage regulation of distribution networks by optimally setting the reactive power of distributed energy resources Based on the linearized DistFlow model, the problem is first formulated as a convex quadratic optimization problem with linear constraints Then, a distributed accelerated dual descent algorithm is proposed to solve the optimization problem by employing the dual decomposition and accelerated gradient projected techniques

Tao Liu

Papers

Synchronization of complex dynamical networks with switching topology: A switched system point of view

Synchronization of Dynamical Networks With Nonidentical Nodes: Criteria and Control

Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology

Effects of rotational Inertia on power system damping and frequency transients

Fast Distributed Reactive Power Control for Voltage Regulation in Distribution Networks