For control systems, design, one important objective is to ensure the stability of the closed-loop system. For a linear system, the stability can be evaluated in time domain or frequency domain, by checking the eigenvalues of the system matrix or the poles of the transfer function. For nonlinear systems, the dynamics of the system cannot be described by equations in linear state space or transfer functions in general. We need more general definitions about the stability of nonlinear systems. In this chapter, we will introduce basic concepts of stability theorems based on Lyapunov functions.
Stability theory, Page 1 of 2
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