Modal stabilization of a certain class of nonlinear nonstationary systems
Vestnik St. Petersburg University: Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuber, I. E., Gelig, A. Kh.
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Solving the global boundary problem for a nonlinear nonstationary controllable system
Automation and Remote Control, 2015We propose algorithms for constructing differentiable controlling functions that are easily amenable for numerical implementation and guarantee a transition of a wide class of nonlinear and quasilinear systems of ordinary differential equations from the initial state to an arbitrary point in the phase space. We derive constructive sufficient conditions
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Computing the recursive posterior Cramer-Rao bound for a nonlinear nonstationary system
2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)., 2004The recursive posterior Cramer-Rao bound (PCRB) has recently been shown to be the information-theoretic mean square error (MSE) bound for an unbiased sequential Bayesian estimator. The expectation integrals for the Fisher information components, which arise out of the recursive PCRB formulation, are intractable in general and must be approximated ...
Robert M. Taylor Jr. +2 more
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Spectral Analysis for Nonstationary and Nonlinear Systems: A Discrete-Time-Model-Based Approach
IEEE Transactions on Biomedical Engineering, 2013A new frequency-domain analysis framework for nonlinear time-varying systems is introduced based on parametric time-varying nonlinear autoregressive with exogenous input models. It is shown how the time-varying effects can be mapped to the generalized frequency response functions (FRFs) to track nonlinear features in frequency, such as intermodulation ...
Fei He 0002 +4 more
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Suboptimal terminal feedback control of nonstationary, nonlinear systems
IEEE Transactions on Automatic Control, 1972A suboptimal approach for terminal feedback control of nonlinear systems which may include time-varying parameters is presented. The scheme is adaptive in nature and viability is established with simulation results for first, the stationary Van der Pol equation and second, for the more meaningful nonstationary, two dimensional missile intercept problem.
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On functioning accuracy of extremal control systems with a nonstationary nonlinear characteristic
Journal of Computer and Systems Sciences International, 2006The guaranteed estimates of the maximum possible deviation of the output signal of the extremal control system from the current maximum of the nonlinear nonstationary characteristic of the controlled plant, when the behavior information of the disturbing actions and the nonlinear characteristic itself is incomplete, are given.
L. S. Gnoenskii, G. V. Yakovlevskaya
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Output Feedback Stability and Passivity in Nonstationary and Nonlinear Systems
2005 International Conference on Control and Automation, 2005Recent publications have shown that under some conditions linear time-invariant systems become strictly positive real with constant feedback. To expand the applicability of this result to nonstationary and nonlinear systems, this paper first reviews a few pole-zero dynamics definitions in nonstationary systems and relates them to stability and ...
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A mixed problem for a nonstationary system of nonlinear integro-differential equations
Siberian Mathematical Journal, 1999The author studies the mixed boundary value problem for the radiative transfer system \[ \begin{gathered} \frac{1}{c}\frac{\partial \Psi(x,\nu,\omega,t)}{\partial t} + (\omega,\nabla)\Psi(x,\nu,\omega,t) \\ + h \nu_{12} \frac{\chi(\mu)}{4\pi}\Bigl(B_{12}C_1(x,t)-B_{21}C_2(x,t)\Bigr) \Psi(x,\nu,\omega,t)= h \nu_{12} \frac{\chi(\mu)}{4\pi}A_{12}C_2(x,t),
Kalinin, A. V., Morozov, S. F.
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About local controllability of a nonlinear stationary system
AIP Conference Proceedings, 2017The paper presents an algorithm for constructing of synthesizing control function. This algorithm is sufficiently convenient for numerical implementation and a wide class of nonlinear stationary systems of ordinary differential equations, provide the passage from initial state into to origin coordinates.
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On the stability of a nonlinear nonstationary system
IEEE Transactions on Automatic Control, 1967R. Mukundan, E. Brooks
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