Control applications in physics: From control of chaos to quantum control

Fradkov, Alexander L.

doi:10.1016/s1474-6670(17)35799-3

Cited by 75 publications

(167 citation statements)

References 6 publications

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“…In particular, studies related to control of physical systems should deal with mathematical models of the controlled physical system and a mathematical model of the control goal. Below, a brief account of such models is provided, following [4].…”

Section: Cybernetical Physics: Methodologymentioning

confidence: 99%

“…Control goals appearing in cybernetics and cybernetical physics may be classified into five categories [4].…”

Section: (B) Models Of Control Goalsmentioning

confidence: 99%

“…However, this statement says nothing about how the system approaches its asymptotic. To answer this question, using the SG principle was proposed [4,98]. In the paper by Tatiana Khantuleva & Dmitry Shalymov [99] further extensions of this idea are presented.…”

Section: Cybernetics and Thermodynamicsmentioning

confidence: 99%

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Horizons of cybernetical physics

Fradkov

2017

Phil. Trans. R. Soc. A.

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The subject and main areas of a new research field—cybernetical physics—are discussed. A brief history of cybernetical physics is outlined. The main areas of activity in cybernetical physics are briefly surveyed, such as control of oscillatory and chaotic behaviour, control of resonance and synchronization, control in thermodynamics, control of distributed systems and networks, quantum control. This article is part of the themed issue ‘Horizons of cybernetical physics’.

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Section: Cybernetical Physics: Methodologymentioning

confidence: 99%

“…Control goals appearing in cybernetics and cybernetical physics may be classified into five categories [4].…”

Section: (B) Models Of Control Goalsmentioning

confidence: 99%

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Horizons of cybernetical physics

Fradkov

2017

Phil. Trans. R. Soc. A.

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“…Control of nonlinear dynamical systems has attracted much attention since the seminal ground-breaking work of Ott, Grebogi, and Yorke (Ott et al, 1990), and a large variety of different control schemes have been proposed (Fradkov, 2007;Schöll and Schuster, 2008). One particularly successful method called time-delayed feedback control was introduced by Pyragas in order to stabilize periodic orbits embedded in a strange attractor of a chaotic system (Pyragas, 1992).…”

Section: Introductionmentioning

confidence: 99%

Transient behavior in systems with time-delayed feedback

Hinz

Hövel

Schöll

2011

Chaos

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We investigate the transient times for the onset of control of steady states by timedelayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically, and the competing influences of local and global features are elaborated. We derive an algebraic scaling of the transient time and confirm our findings by numerical simulations in dependence on feedback gain and time delay.

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“…[1], [2]. There are several kinds of synchronizations such as generalized synchronization [3], complete synchronization [4], [5], partial synchronization [6], phase synchronization [7] and almost synchronization [8].…”

Section: Introductionmentioning

confidence: 99%

Implementation of partial synchronization of different chaotic systems by field programmable gate array

Eroglu

Savacı

2009

2009 European Conference on Circuit Theory and Design

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Abstract-In this study, the synchronization of the masterslave systems has been achieved and implemented on Field Programmable Gate Array (FPGA). In this paper, the master system and the slave system have been chosen as Lorenz and Rossler systems, respectively. The feedback control rule has been derived by feedback linearization method. By feedback linearization, the coordinate transformation has been achieved then the control command for synchronization has been obtained. In order to implement designed synchronized system, Matlab Simulink design of the system has been translated to Xilinx System Generator design to generate Very-High-Speed Integrated Circuits Hardware Description Language (VHDL) code which is used to produce bitstream file. By Xilinx Integrated Software Environment (ISE) program, VHDL code is converted to bitstream file which has been embedded into FPGA by Field Upgradeable Systems Environment (FUSE). Finally, the designed synchronized system has been observed on the HP 54540C oscilloscope.

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Control applications in physics: From control of chaos to quantum control

Cited by 75 publications

References 6 publications

Horizons of cybernetical physics

Horizons of cybernetical physics

Transient behavior in systems with time-delayed feedback

Implementation of partial synchronization of different chaotic systems by field programmable gate array

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