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On the robustness of mismatched uncertain dynamical systems. (English) Zbl 0637.93020
We consider the robustness problem of uncertain dynamical systems which do not satisfy the so-called matching conditions. We employ the controls which assure practical stability of the associated matched dynamical system. After introducing the idea of measure of mismatch, various conditions are stated, whose satisfaction assures that the mismatched uncertain system is practically stable under such a control. We also show that, under certain conditions, uniform attractivity can be assured; this has the advantage of reducing the measure of mismatch, and hence places lesser restrictions on the allowable magnitude of the uncertainty.

MSC:
93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
93D99 Stability of control systems
93C15 Control/observation systems governed by ordinary differential equations
34D10 Perturbations of ordinary differential equations
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