Klinge, Steffi and Middleton, Richard H.
String Stability Analysis of Homogeneous Linear Unidirectionally Connected Systems with nonzero Initial Conditions.
In: 20th IET Irish Signals and Systems Conference, 10th - 11th June 2009, University College Dublin.
This paper investigates string stability issues in homogeneous strings of strictly proper feedback control systems. We consider initial condition problems with
unidirectional nearest neighbour communications, using only linear systems with two integrators in the loop. We define string stability as a type of stability that is uniform
with respect to the string length. We show conditions under which the L2-norm and the L1-norm of states are bounded and derive a formula for the minimal time headways required to guarantee string stability.
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