Abstract
Stabilizing and control strategies are presented for nonlinear and bilinear systems -which are homogeneous-In-the-input. For this class of systems It Is demonstrated that nonlinear controllers can be synthesized, which optimize a wide variety of performance criteria. These controllers produce asymptotic stability also in the interesting cases in which constant controllers fail to stabilize the systems. Extensions to non-homogeneous systems are given.
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Bruni, C., Di Pillo, G. & Koch, G. Bilinear systems: an appealing class of “nearly linear” systems in theory and applications. IEEE Trans. Automatic Control, AC-19, No. 4 1974, pp. 334–348.
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Ionescu, T. & Monopoli, R.V. On the stabilization of bilinear systems via hyperstability. IEEE Trans. Automatic Control, AC-20, 1975, pp. 280–284.
Hahn, W. Stability of motion. Springer Verlag, Berlin, Heidelberg, New York, 1967.
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© 1976 Plenum Press, New York
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Jacobson, D.H. (1976). Stabilization and Optimal Control of Nonlinear Systems Homogeneous-in-the-Input. In: Ho, Y.C., Mitter, S.K. (eds) Directions in Large-Scale Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2259-7_22
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DOI: https://doi.org/10.1007/978-1-4684-2259-7_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2261-0
Online ISBN: 978-1-4684-2259-7
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