Appendix A

Fundamental Concepts

A.1 Generalized concept of stability-brief review

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.

A.1.1 Local Stability ...

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