Robustness measures for linear state space systems under complex and real parameter perturbations
In this paper we study the effect of perturbations of a system matrix on its spectrum. We consider perturbations of the form A → A + BDC where B, C are given matrices. Robustness measures with respect to the location of the spectrum of A (in arbitrary open domains ℂ g ⊂ ℂ) are introduced and characterized. Complex and real perturbations are considered separately. The results are used to analyse the stability of state space systems when subjected to time-varying, nonlinear and dynamic perturbations. Here we observe interesting differences between the complex and real cases.
KeywordsAlgebraic Riccati Equation Stability Radius Dual Norm State Space System Robustness Measure
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