Abstract
Consider a controlled system of differential equations of perturbed motion
where x = (x 1,…, x n), X = (X1,…, X n ), u = (u1,…,u r ). Suppose that functions X(t, x, u) are defined, continuous, and satisfying a Lipschitz condition in x in the domain
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References
LG. Malkin, The Stability of Motion Theory, Moscow, Nauka, 1966.
B.M. Levitan and V.V. Zhikov, Almost Periodic Functions and Differential Equations, Cambridge University Press, Cambridge, 1982.
A.Ya. Savchenko and A.O. Ignatyev, Some Problems of Stability of Non-autonomous Dynamical Systems, Naukova Dumka, Kiev, 1989.
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Ignatyev, A.A. (2004). On Optimal Stabilization of Nonautonomous Systems. In: Constanda, C., Largillier, A., Ahues, M. (eds) Integral Methods in Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8184-5_18
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DOI: https://doi.org/10.1007/978-0-8176-8184-5_18
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6479-8
Online ISBN: 978-0-8176-8184-5
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