ABSTRACT
This chapter categorizes nonlinearities in dynamic system into continuous and discontinuous nonlinearity. The systems are chaotic if they are deterministic through description by mathematical rules and these mathematical descriptions are nonlinear in some way. The most fundamental property of a linear system is the validity of the principle of superposition. A nonlinear system does not hold the superposition principle. Nonlinearity is an undesirable phenomenon in a system. Sometimes nonlinear characteristics are intentionally introduced in a control system to improve its performance or provide more effective control. The flight control system is designed for automatic stabilization of the aircraft attitude about its center of gravity. Linear systems have a wealth of analytical and graphical techniques for design and analyses purposes. Nonlinear systems are very difficult to treat mathematically and there are no general methods that may be used to solve a wide class of nonlinear systems.
