Robust stability
Robust stability a property of the family of models for the system with uncertainty which ensures that it remains stable for all possible operating conditions for uncertain variables ranging over their sets. For time-invariant linear systems with uncertainty, robust stability means that the family of characteristic polynomials generated by uncertain parameters defined over the operating sets has all roots endowed with negative real parts. See kharitonov theorem. For nonlinear systems, robust stability could be checked by some techniques based on direct lyapunov method or popov criterion. In some cases, the requirement of robust asymptotic stability may be weakened by more realistic practical stability or ultimate boundedness demand. See also practical stabilization.
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Author of the text: Ed. P.A. Laplante Boca Raton: CRC Press LLC, 2000
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