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Zbl 0634.93066
Zhou, Kemin; Khargonekar, Pramod P.
Robust stabilization of linear systems with norm-bounded time-varying uncertainty. (English)
[J] Syst. Control Lett. 10, No. 1, 17-20 (1988). ISSN 0167-6911

For the state model $dx/dt=(A+\Delta A)x(t)+(B+\Delta B)u(t)$, where $[\Delta A,\Delta B]=DF(t)E$, $F\sp T(t)F(t)\le I$, the authors look for stabilizing state feedback based on the solution of a modified algebraic Riccati equation. The approach reminds of the exponential stability approach. Actually, the title should be ``Robust state feedback stabilization...''.
[A.Vaněček]

MSC 2000:: *93D15 Stabilization of systems by feedback
93B35 Sensitivity (robustness) of control systems
93C05 Linear control systems
15A24 Matrix equations
93C35 Multivariable, multidimensional control systems
34D10 Stability perturbations of ODE

Keywords: stabilizing state feedback; algebraic Riccati equation

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