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Zbl 0683.93026
Wang, Wen-June; Cheng, Cheng-Fa
Robustness of perturbed large-scale systems with local constant state feedback. (English)
[J] Int. J. Control 50, No.1, 373-384 (1989). ISSN 0020-7179; ISSN 1366-5820/e

Summary: The robustness problem of perturbed large-scale systems is considered. The nominal large-scale system is stabilized by a local constant state feedback $u\sb i(t)=k\sb ix\sb i(t)$ and the local optimal control law $u\sb i(t)=-R\sb i\sp{-1}B\sp T\sb iP\sb ix\sb i(t)$, respectively. In the above two cases, bounds are obtained for an allowable non-linear time-invariant (or time-varying) perturbation such that the resulting closed-loop large-scale remains stable. The special case of a linear perturbation is also treated here.

MSC 2000:: *93B35 Sensitivity (robustness) of control systems
93A15 Large scale systems
93C10 Nonlinear control systems
93C15 Control systems governed by ODE

Keywords: robustness problem; perturbed large-scale systems

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