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Delay-dependent robust H∞ controller design for a class of nonlinear uncertainty time-delay systems with input delay
      
Dynamic Input Reconstruction for a Nonlinear Time-Delay System
      
Dynamic reconstruction of the unknown input (disturbance, control) in a nonlinear system described by a time-delay differential equation is studied.
      
Stability degree-optimal solutions are found for the problem of control of aperiodic objects, the behavior of which is approximated by dynamic models that represent the series connection of inertial links and also an inertial time-delay link.
      
Methods for reconstructing a delay differential equation from the time series of an observable quantity are proposed for various classes of time-delay systems.
      
The methods rely on knowledge of the distributions of extrema of the time series of observed oscillations and projection of the infinite-dimensional phase spaces of time-delay systems onto special low-dimensional subspaces.
      
The effectiveness of the proposed methods is demonstrated by reconstructing delay differential equations from their chaotic solutions, including those corrupted by noise, and by constructing models of real time-delay systems from chaotic time series.
      
The structure, topology, and parameters of the photodiodes and staring and time-delay-integration focal plane arrays, as well as the structure and circuitry of silicon multiplexers developed for the focal plane arrays, are discussed.
      
The charge-coupled detector, which operates in the time-delay and accumulation mode, detects the spectral components and sums them with the required delay, and thereby compresses the signal and separates it from the noise.
      
A new method is proposed for the reconstruction of scalar time-delay system models.
      
Separation of the informative component from a chaotic signal of a time-delay system
      
A new method is proposed for determining the parameters of time-delay systems using the observable time series.
      
With this method, it is possible to reveal communications in the case of data transmission based on the nonlinear mixing of the informative signal and a chaotic signal of the time-delay system.
      
Equations of a time-delay system under external action reconstructed from time series
      
A new method is proposed for the use of time series for reconstructing the equations of a system with time-delay feedback under an external action.
      
A method is proposed for the use of time series for reconstructing the equations of a system with time-delay feedback characterized by two delay times.
      
Recovery of equations of coupled time-delay systems from time series
      
A method is described for reconstructing the model differential equations with a delayed argument from time series of coupled systems with time-delay feedback.
      
Using this method, it is also possible to establish the presence of coupling between time-delay systems and to determine the type, direction, and magnitude of coupling.
      
The performance of the proposed method is illustrated by application to the experimental time series of coupled oscillators with time-delay feedback.
      
 

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