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This paper is concerened with a robust stabilization problem of uncertain linear systems via state feedback. The system under consideration contains block structured norm bounded time-varying uncertainties both in the state matrix A and the input matrix B. By the quadratic stabilization approach, the solution to this problem is reduced to solving an algebraic Riccati equation containing some free...
In this paper we are concerned with the stability robustness of discrete-time systems which experience real, structured, parameter variations. The work is motivated by the notion of a "Lyapunov min-max controller" introduced by Corless [13]. We generalize this concept and introduce lth-step Lyapunov min-max controllers. With the help of these controllers we are able to identify a class of...
Consider a linear state equation whose system matrices contain time-varying uncertainties. Furthermore, assume that the values of these parameters are unknown but bounded. The goal is to develop a single linear time-invariant state feedback which stabilizes the system for all admissible uncertainties. In this work, such results are achieved by exploiting the structure of the uncertainty. Structure...
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