Learning theory for inferring interaction kernels in second-order interacting agent systems

On leaderless and leader-following consensus for interacting clusters of second-order multi-agent systems

This paper investigates the group consensus phenomenon for multiple interacting clusters of doubleintegrator agents in the presence of both cooperative and competitive inter-cluster couplings under two different frameworks, viz., the framework that all agents share the same position and velocity interaction topology and the framework that the position and velocity topologies are modeled by tota...

Synchronization Theory for Forced Oscillations in Second-Order Systems ~

We consider differential equations of the form ~ + ~f(x, ~ ) + x = Eu, where E > 0 is supposed to be small. For piecewise continuous controls u(t), satisfying lu( t ) l -1 , we present sulIicient conditions for the existence of 2¢r-periodic solutions with a given amplitude. We present a method for determining the limiting behavior of controls fi, for which the equation has a 27r-periodic soluti...

Waveform Design using Second Order Cone Programming in Radar Systems

Transmit waveform design is one of the most important problems in active sensing and communication systems. This problem, due to the complexity and non-convexity, has been always the main topic of many papers for the decades. However, still an optimal solution which guarantees a global minimum for this multi-variable optimization problem is not found. In this paper, we propose an attracting met...

A Pure First Order Representation for Undamped Second Order Descriptor Systems

The aim of this paper is to analyze the undamped second order descriptor systems to show the possibility of transform an undamped second order descriptor system to a pure first order descriptor system ,on different ways, while stating some of its benefits. Meanwhile we will introduce pure first order systems and undamped second order systems and indicate that under some assumptions every undamp...

First and Second Order Semistrong Interaction in Reaction-Diffusion Systems