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Hill, D. L.

Control of observable chaotic dynamical systems using nonlinear approximations. (English) Zbl 1057.37028

Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 10, 3053-3062 (2003).
Summary: A technique of using nonlinear approximations to control chaotic dynamical systems is extended so it can be used to control such systems when only data generated can be observed.

Cited in 1 Document

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C10 Nonlinear systems in control theory

Keywords:

Control of chaos; nonlinear systems; stable manifold
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References:

[1] Chen G., Controlling Chaos and Bifurcations in Engineering Systems (2000) · Zbl 0929.00012
[2] DOI: 10.1063/1.1288149 · Zbl 0967.93044 · doi:10.1063/1.1288149
[3] DOI: 10.1142/S0218127401002080 · doi:10.1142/S0218127401002080
[4] DOI: 10.1142/S0218127401002973 · doi:10.1142/S0218127401002973
[5] DOI: 10.1142/S0218127402005169 · Zbl 1044.37555 · doi:10.1142/S0218127402005169
[6] DOI: 10.1103/PhysRevLett.64.1196 · Zbl 0964.37501 · doi:10.1103/PhysRevLett.64.1196
[7] DOI: 10.1016/S0375-9601(97)00929-8 · Zbl 0946.37023 · doi:10.1016/S0375-9601(97)00929-8
[8] DOI: 10.1016/S0375-9601(98)00546-5 · doi:10.1016/S0375-9601(98)00546-5
[9] DOI: 10.1142/S0218127499000110 · Zbl 0941.93532 · doi:10.1142/S0218127499000110
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