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• W2162040672 abstract "This article is concerned with L ∞ and L 2 semi-global stabilisation of continuous-time periodic linear systems with bounded controls. Two problems, namely L ∞ semi-global stabilisation with controls having bounded magnitude and L 2 semi-global stabilisation with controls having bounded energy, are solved based on solutions to a class of periodic Lyapunov differential equations (PLDEs) resulting from the problem of minimal energy control with guaranteed convergence rate. Under the assumption that the open-loop system is (asymptotically) null controllable with constrained controls, periodic feedback are established to solve the concerned problems. The proposed PLDE-based approaches possess the advantage that the resulting controllers are easy to implement since the designers need only to solve a linear differential equation. A numerical example is worked out to illustrate the effectiveness of the proposed approach." @default.
• W2162040672 created "2016-06-24" @default.
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• W2162040672 date "2013-04-01" @default.
• W2162040672 modified "2023-10-01" @default.
• W2162040672 title "<i>L</i>_∞and<i>L</i>₂semi-global stabilisation of continuous-time periodic linear systems with bounded controls" @default.
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• W2162040672 doi "https://doi.org/10.1080/00207179.2012.757654" @default.
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