This paper treats solutions on the ability of a chain of non identical oscilla- tors to drive antenna arrays. Frequency approaches were studied in order to solve the problem of synchronization of the oscillators. However, in this article, a new structure of chain of oscillators is introduced. Secondly, Lyapunov theory of stability is used to design a dynamical controller guarantying the oscillators synchronization. The problem of synchronization is transformed into a problem of asymptotic stabiliza- tion for a nonlinear system. It is formulated as a system of linear matrix inequalities where the parameter variations of the two oscillators and their differences are mod- eled by polytopic matrices. The theoretical result is successfully applied to an array of transistor-based oscillators used in "smart antenna" systems. Keyword : Nonlinear systems, Control applications, Antenna arrays The demand of mobile communication services is in a continuous growth, moreover, it is estimated that the rate will be maintained in the next years. This continuous development has stimulated the research of new hardware and software solutions in order to increase the volume of exchanged data and a better management of the emitted or received electromagnetic field. Smart antenna arrays comprise a number of antennas that work in conjunction with an intelligent system that processes the received and transmitted data. The processing can be realized in a hardware or in a software way and allows smart antenna arrays to focus beams into particular directions. This problem can be partially solved by using several directional antennas. This solution divides the 360-degree coverage area into sectors. However, smart antenna arrays provide a much more effective solution by focusing the transmitted power toward user and only looking in the direction of the user for the up link signal. This ensures that the user receives the optimum quality of service and the maximum coverage from a base station. The new technologies development increases the antenna array performances and minimizes the costs of production and the occupied space. It makes them implementable in domains like wireless or satellite communications, radar systems, missile defense systems, automobile industry, etc. Smart antennas or antenna arrays are a part of communication systems that can improve their global performances. This technique can increase the spectral efficiency and reduce the multi path fading, bit error rate (BER), the co-channel interferences (CCI) and the system complexity (1). This is possible by electronically adjusting the beam pattern of the antenna array in order to provide important gain for the desired signals and small gain for interference signals. At emission, the purpose of smart antennas is to minimize the interference between the different transmitters who works on the same communication channel and, thus to more efficiently use the emitted power. For this reason, the beam shape must be controlled in order to minimize the amplitude of the side lobes and to maximize the energy in the main lobe. Moreover, the direction of the main lobe must be controlled. the focused application is inter-vehicle communication. The bandwidth will be, first of all, in the area of 24Ghz and finally around 79GHz. At these frequencies, technique like "software defined radio" can not be used. One of the main objectives that is pointed out is to develop a structure which will extend in both space and time the safety information available to drivers by using the infrastructure and vehicles as sources.