Control of observable chaotic dynamical systems using nonlinear approximations. (English) Zbl 1057.37028
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.
MSC:
37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
93C10 | Nonlinear systems in control theory |
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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