Nonlinear Systems Stability Analysis: Lyapunov-Based Approach, Nikrav PB..

Nonlinear Systems Stability Analysis: Lyapunov-Based Approach, Nikrav PB..

CRC Press

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\u2014system stability being the most crucial property. Without stability, a system will not have value.\n\nNonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The .

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