April 2014
Intermediate to advanced
328 pages
9h 45m
English
The stability of a linear system is entirely independent of the input, and the state of a stable system with zero input will always return to the origin of the state space, independent of the finite initial state. In contrast, the stability of a nonlinear system depends on the type and magnitude of input, and the initial state. These factors have to be taken into account in defining the stability of a nonlinear system. In control system theory, the stability of a non linear system is classified into the following categories, depending on the region of state space in which the state vector ranges; Local Stability, Finite Stability and Global Stability.