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Stabilization of a nonlinear jump system

Systems & Control Letters, 2002
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Gou Nakura, Akira Ichikawa
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Homogenization with jumping nonlinearities

Annali di Matematica Pura ed Applicata, 1984
Consider a sequence of uniformly elliptic symmetric operators \(A_{\epsilon}: H^ 1_ 0(\Omega)\to H^{-1}(\Omega)\) of the form \(A_{\epsilon}=-\sum^{n}_{i,j=1}D_ i(a^{\epsilon}_{ij}(x)D_ j)\) and assume that \(A_{\epsilon}\) G-converges to \(A_ 0\) in the sense that \(A_{\epsilon}^{-1}f\) converges to \(A_ 0^{-1}f\) weakly in \(H^ 1_ 0(\Omega)\) for ...
Boccardo, L., Gallouet, T.
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Amplitude jumps of a nonlinear oscillator

European Journal of Physics, 1985
The authors describe detailed experimental data on the 'amplitude jumps' of a nonlinear pendulum, the results of third-year undergraduate project work. The data are in agreement with an analysis based on a simple extension of the Krylov-Bogoliubov method for free oscillation.
M Dixon, J Lowell, S Lyon
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On nonlinear elliptic problems with jumping nonlinearities

Annali di Matematica Pura ed Applicata, 1981
Elliptic equations with nonlinearities, which have different derivatives at plus and minus infinity, are studied. A characterization of solvability is given by establishing the existence of nonlinear eigenvalues of a corresponding positive-homogeneous equation.
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Optimization of Stochastic Jump Diffusion Systems Nonlinear in the Control

Automation and Remote Control, 2022
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Mikhail M. Khrustalev, Kirill A. Tsarkov
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Quantized control for nonlinear Markovian jump systems

53rd IEEE Conference on Decision and Control, 2014
This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H − performance.
Ligang Wu 0001   +4 more
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Nonlinear Doob-Meyer Decomposition with Jumps

Acta Mathematica Sinica, English Series, 2003
A nonlinear Doob-Meyer decomposition theorem and the smallest \(g\)-supersolution for the BSDE driven by Brownian motion are stated in work by \textit{S. Peng} [Probab. Theory Relat. Fields 113, No. 4, 473--499 (1999; Zbl 0953.60059)]. In this paper, the author considers the nonlinear Doob-Meyer decomposition theorem for the BSDE driven by both ...
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JUMP DETECTION BY WAVELET IN NONLINEAR AUTOREGRESSIVE MODELS

Acta Mathematica Scientia, 1999
Summary: Wavelets are applied to detection of the jump points of a regression function in a nonlinear autoregressive model \(x_t=T (x_{t-1}) +\varepsilon_t\). By checking the empirical wavelet coefficient of the data, which have significantly large absolute values across fine scale levels, the number of the jump points and locations where the jumps ...
Li, Yuan, Xie, Zhongjie
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Remarks on Jumping Nonlinearities

1999
In this paper, we discuss the jumping nonlinearity problem the special case where f = 0 and problems which behave asymptotically like (1).
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Nonlinear Markovian Jump Systems

2017
This chapter presents a direct robust adaptive control scheme for a class of nonlinear uncertain Markovian jump systems with nonlinear state-dependent uncertainty. In this scheme the prior knowledge of the upper bounds of the system uncertainties is not required. Furthermore, the scheme is Lyapunov-based and guarantees the closed-loop global asymptotic
Yu Kang, Yun-Bo Zhao, Ping Zhao
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