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Robust stabilization of linear systems with norm-bounded time-varying uncertainty. (English) Zbl 0634.93066
For the state model dx/dt=(A+ΔA)x(t)+(B+ΔB)u(t), where [ΔA,ΔB]=DF(t)E, F T (t)F(t)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...”.
Reviewer: A.Vaněček
MSC:
93D15Stabilization of systems by feedback
93B35Sensitivity (robustness) of control systems
93C05Linear control systems
15A24Matrix equations and identities
93C35Multivariable systems, multidimensional control systems
34D10Stability perturbations of ODE