@article {558,
	title = {A travelling wave approach to a multi-agent system with a path-graph topology},
	journal = {System and Control Letters},
	volume = {99},
	year = {2017},
	month = {January},
	pages = {90-98},
	publisher = {Elsevier},
	abstract = {<div>
	The paper presents a novel approach for the analysis and control of a multi-agent system with non-identical agents and a pathgraph topology. With the help of irrational wave transfer functions, the approach describes the interaction among the agents from the {\textquoteleft}local{\textquoteright} perspective and identify the travelling waves in the multi-agent system. The local treatment of the multi-agent system is complementary to the traditional {\textquoteleft}overall{\textquoteright} approach. It is shown that the dierent dynamics of the agents creates a virtual boundary that causes a partial reflection of the travelling waves. Undesired eects due to the reflection of the waves, such as amplification/attenuation, long transient or string instability, can be compensated by the feedback controllers introduced in this paper. A set of functions in MATLAB, which allows numerical simulation of the proposed approach, have been made available on MATLAB Central.</div>
},
	doi = {10.1016/j.sysconle.2016.12.001},
	url = {https://doi.org/10.1016/j.sysconle.2016.12.001},
	author = {Dan Martinec and Herman, Ivo and Michael {\v S}ebek}
}