Please cite this article as: A. Farnam, R. Mahboobi Esfanjani, Improved linear matrix inequality approach to stability analysis of linear systems with interval time-varying delays, Journal of Computational and Applied Mathematics (2015), http://dx.Abstract -This paper investigates the problem of stability analysis for a class of linear systems with interval time-varying delay. In order to develop a less conservative stability condition, a LyapunovKrasovskii functional comprising novel integral terms is introduced. Convex combination idea is utilized to derive a stability criterion in terms of linear matrix inequalities (LMIs) without any additional freeweighting matrices which decreases drastically the computational burden of the stability test. Numerical examples are presented to illustrate the superiority of the proposed approach compared to some existing ones in the literature.

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This paper deals with the problem of string stability in a chain of accelerationcontrolled vehicles. It is known that string stability cannot be achieved, with any linear controller, when the vehicles' control inputs are based on relative distances to a fixed number of predecessors. We extend the set of impossible settings by including elements like dynamic sensor parts and local inter-vehicular communication, as in cooperative adaptive cruise control. It is also known that a weaker form of string stability is achievable by adding absolute velocity measurements (e.g. "time-headway" policy). We show that a stronger property can also be achieved, provided steady-state control gain is infinite e.g. by using integral control.

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