The word "Hybrid" is used to refer to anything that is a mixture of other things, especially two other things. In Dynamical systems modeling theory "Hybrid" means a system its behavior is include the both continuous and discontinuous dynamics. Nowadays, by the increasing use of computer-controlled equipments, new methodologies for the analysis and synthesis of hybrid systems are needed. However, a general model of hybrid systems, although it can capture a lot of situations (high modeling power), composition of continuous and discontinuous dynamics usually leads to a high level of complexity with respect to analysis and controller design techniques. One of the most important resource of this complexity originates from the fact that the structure of particular left; TEXT-INDENT: 0cm; MARGIN: 12pt 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" align=left Key Words Hybrid systems, Piecewise affine systems, Discrete-time, Input-to-State-Stability, Model predictive control, contractive constraint of lyapunov function, Robustness.
