%L elediasc12693 %D 2015 %X An innovative strategy for the robust design of linear antenna arrays is analyzed in this report. Being the array elements characterised by tolerance errors, the synthesis is aimed at determining the intervals of values fitting the user-defined mask constraints on the radiated power pattern. With reference to the upper and lower bounds of the power pattern analytically determined for given tolerances through interval analysis, the nominal excitations of the array elements are then optimised by means of a global stochastic optimiser suitably customised to deal with interval numbers. %A L. Poli %A G. Oliveri %A F. Viani %A A. Massa %K Interval Analysis, Array Synthesis, Array Analysis, Reflector Antennas, Evolutionary Optimization, Compressive Sensing, Analytic Sequences, Local Optimization, Sub-Arraying, Time Modulated Arrays. %I Un %T Interval-based Pencil Beam Pattern Synthesis in Linear Antenna Arrays