18,660 research outputs found
Optimal adaptive control for a class of stochastic systems
We study linear-quadratic adaptive tracking problems for a special class of stochastic systems expressed in the state-space form. This is a long-standing problem in the control of aircraft flying through atmospheric turbulence. Using an ELS-based algorithm and introducing dither in the control law we show that the resulting control achieves optimal cost in the limit, while simultaneously the unknown parameters converge to their true value
Parameter Estimation of Switched Hammerstein Systems
This paper deals with the parameter estimation problem of the
Single-Input-Single-Output (SISO) switched Hammerstein system. Suppose that the
switching law is arbitrary but can be observed online. All subsystems are
parameterized and the Recursive Least Squares (RLS) algorithm is applied to
estimate their parameters. To overcome the difficulty caused by coupling of
data from different subsystems, the concept "intrinsic switch" is introduced.
Two cases are considered: i) The input is taken to be a sequence of independent
identically distributed (i.i.d.) random variables when identification is the
only purpose; ii) A diminishingly excited signal is superimposed on the control
when the adaptive control law is given. The strong consistency of the estimates
in both cases is established and a simulation example is given to verify the
theoretical analysis.Comment: 16 pages, 3 figures; Accepted for publication by Acta Mathematicae
Applicatae Sinica (http://link.springer.com/journal/10255
Dark information of black hole radiation raised by dark energy
The "lost" information of black hole through the Hawking radiation was
discovered being stored in the correlation among the non-thermally radiated
particles [Phys. Rev. Lett 85, 5042 (2000), Phys. Lett. B 675, 1 (2009)]. This
correlation information, which has not yet been proved locally observable in
principle, is named by dark information. In this paper, we systematically study
the influences of dark energy on black hole radiation, especially on the dark
information. Calculating the radiation spectrum in the existence of dark energy
by the approach of canonical typicality, which is reconfirmed by the quantum
tunneling method, we find that the dark energy will effectively lower the
Hawking temperature, and thus makes the black hole has longer life time. It is
also discovered that the non-thermal effect of the black hole radiation is
enhanced by dark energy so that the dark information of the radiation is
increased. Our observation shows that, besides the mechanical effect (e.g.,
gravitational lensing effect), the dark energy rises the the stored dark
information, which could be probed by a non-local coincidence measurement
similar to the coincidence counting of the Hanbury-Brown -Twiss experiment in
quantum optics.Comment: 21 pages, 3 figures, complete journal-info of Ref.[4] is added,
comments are welcome ([email protected]
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