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Representation of Time-Varying Nonlinear Systems With Time-Varying Principal Dynamic Modes
IEEE Transactions on Biomedical Engineering, 2007System identification of nonlinear time-varying (TV) systems has been a daunting task, as the number of parameters required for accurate identification is often larger than the number of data points available, and scales with the number of data points.
Yuru, Zhong +3 more
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Identification of Time Varying Systems
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 1992An algorithm that uses an optimal control theoretic approach to identifying time varying systems is presented. The hybrid cost function used by this algorithm removes many of the limitation associated with identification methods based on the familiar error based cost function. This results in improved parameter tracking of a wide variety of systems. Of
null Boer, null Kenyon
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52nd IEEE Conference on Decision and Control, 2013
We study stabilization problems for a broad class of time varying linear systems that have constant input delays. Our reduction model method allows arbitrarily long delays, and it establishes input-to-state stability with respect to additive uncertainties.
Mazenc, Frédéric +2 more
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We study stabilization problems for a broad class of time varying linear systems that have constant input delays. Our reduction model method allows arbitrarily long delays, and it establishes input-to-state stability with respect to additive uncertainties.
Mazenc, Frédéric +2 more
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2014
A large number of physical systems are nonstationary. Identification of nonstationary processes have been widely studied in the literature for linear systems. Traditional techniques for identifying linear time-varying (LTV) systems are mostly based on the recursive weighted least squares methods (see [106], [22], [83], [34], [124]).
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A large number of physical systems are nonstationary. Identification of nonstationary processes have been widely studied in the literature for linear systems. Traditional techniques for identifying linear time-varying (LTV) systems are mostly based on the recursive weighted least squares methods (see [106], [22], [83], [34], [124]).
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On slowly time-varying systems
Automatica, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dahleh, Mohammed, Dahleh, Munther A.
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Stability of time-varying switched systems with time-varying delay
Nonlinear Analysis: Hybrid Systems, 2009The author first gives a generalization of Halanay's inequality, and then uses this inequality to obtain sufficient conditions for the stability of the following switched delay system \[ x'(t)=A_{\sigma_i}(t)x(t)+B_{\sigma_i}(t)x(t-\tau(t))+\int_{t_0}^t f_{\sigma_i}(t-s)x(s)ds, \] where \[ x(t)\in \mathbb R^n, A_{\sigma_i}(t), B_{\sigma_i}(t)\in ...
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Continuous time-varying linear systems
Systems & Control Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fröhler, Stefan, Oberst, Ulrich
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Time-Varying Regular Bilinear Systems
SIAM Journal on Control and Optimization, 2008The theory of infinite-dimensional systems introduced and developed by Salamon [Trans. Amer. Math. Soc., 300 (1987), pp. 383-431] and Weiss [SIAM J. Control Optim., 27 (1989), pp. 527-545] has been recently applied for various systems; see, e.g., the Jacob-Partington survey [Current Trends in Operator Theory and its Applications, Birkhauser, Boston ...
Hamid Bounit, Abdelali Idrissi
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Constrained Time-Varying System Modelling
1988 American Control Conference, 1988Tools are presented to reliably identify a time-varying autoregressive (AR) model for a realization of a stochastic process with an arbitrary non-stationarity. Only limited a priori knowledge about the nature of the non-stationarity, namely the expected maximum rate of change of the model parameters, is necessary to estimate these parameters on-line ...
Jerome R. Bellegarda, David C. Farden
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Optimization of time-varying systems
IEEE Transactions on Automatic Control, 1965A method of self-optimization using system models to compute error-criterion gradients in a parameter space is extended to time-varying systems. When the parameters are permitted to vary only slowly, the gradient computer is similar to that used for stationary systems of fixed configuration.
L. McBride, K. Narendra
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