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Operations research, linear programming, control theory, systems theory, optimal control, game theory
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The asymptotic stability of a control system
Let a control system be described by the following nonlinear ordinary differential equations:
$(1)\quad \frac{dx(t)}{dt}=f_0(x(t))+\sum_{j=1}^m f_j(x(t))u_j,\;\;x(t)\in D\subset\mathbb R^n,\;\;u\in\m …