Generating new classes of fixed-time stable systems with predefined upper bound for the settling time

This paper aims to provide a methodology for generating autonomous and non-autonomous systems with fixed-time stable equilibrium point where an Upper Bound of the Settling Time (UBST) is set priori as parameter system. In addition, some conditions such upper bound be least one are provided. construction procedure relevant contribution when compared traditional methodologies algorithms satisfying time constraints since current estimates UBST may too conservative. The proposed based on time-scale transformations Lyapunov analysis. It allows presentation broad class predefined UBST, placing them under common framework existing methods using time-varying gains. To illustrate effectiveness our approach, we generate novel, non-autonomous, UBST.