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The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions--system stability being the most crucial property. Without stability, a system will not have value.
Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced...