It is obvious that stability plays an important role in system design. Obviously, an equilibrium state is said to be stable if all solutions of its dynamic equations starting at nearby states stay nearby, otherwise it is unstable. One of the most important properties of a system, that is, stability, can in principle be predicted or evaluated without having any knowledge about the solutions of the differential equations from given initial conditions with given inputs.
There are different stability analysis methods for linear systems that can be found in classical literature of linear systems. In this chapter, we consider a very important technique for nonlinear as well as ...
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