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SUFFICIENT CONDITIONS FOR UNIFORM GLOBAL ASYMPTOTIC STABILIZATION OF BILINEAR NONHOMOGENEOUS PERIODIC SYSTEMS WITH STABLE FREE DYNAMICS

Annotation

We obtain new sufficient conditions for uniform global asymptotic stabilization of the zero equilibrium by state feedback for a bilinear nonhomogeneous periodic system with stable free dynamics.

Keywords

bilinear systems; periodic systems; global asymptotic stabilization; feedback control

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UDC

517.977 + 517.925.51

Pages

1161-1163

References

1. Zaytsev V.A. Obobshchenie teoremy Dzhardzhevicha–Kuinna i stabilizatsiya bilineynykh upravlyaemykh sistem s periodicheskimi koeffitsientami. I // Differentsial'nye uravneniya. 2013. T. 49. №1. S. 101–110. 2. Zaytsev V.A. Obobshchenie teoremy Dzhardzhevicha–Kuinna i stabilizatsiya bilineynykh upravlyaemykh sistem s periodicheskimi koeffitsientami. II // Differentsial'nye uravneniya. 2013. T. 49. № 3. S. 348–357. 3. Zaitsev V.A. Global asymptotic stabilization of bilinear control systems with periodic coefficients // Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Komp'yuternye nauki. 2012. Vyp. 2. S. 17–27. 4. Zaytsev V.A. Stabilizatsiya affinnykh upravlyaemykh sistem s periodicheskimi koeffitsientami // Differentsial'nye uravneniya. 2013. T. 49. № 12. S. 1664–1672. 5. Zaitsev V.A. Global asymptotic stabilization of affine periodic systems by damping control // IFAC Papers Online. 5th IFAC International Workshop on Periodic Control Systems. 2013. Vol. 5. Part 1. P. 166–170.

Received

2015-05-05

Section of issue

Scientific articles

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