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Stability of active noise control algorithms
IEEE Signal Processing Letters, 2001This paper provides a stability analysis of a class of acoustic noise control algorithms by showing that the adapted models have more in common with nonlinear, finite impulse response (FIR) equation error models than with the infinite impulse response (IIR) output error models they superficially resemble.
C A Jacobson, W A Sethares, C R Johnson
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Noise Enhanced Stability in an Unstable System
Physical Review Letters, 1996We experimentally detect noise enhanced stability in an unstable physical system. The average escape time from a metastable, periodically driven, system is measured in the stable and unstable regimes in a noisy environment. In the unstable regime, we measure that the average escape time has a maximum for a finite value of the noise intensity.
, Mantegna, , Spagnolo
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On Stability of Linear Estimators in Poisson Noise
2019 53rd Asilomar Conference on Signals, Systems, and Computers, 2019This paper considers estimation of a random variable in Poisson noise. Specifically, the main focus is to assess optimality and near optimality conditions for linear estimators.In the first part of the paper, it is shown that linear estimators are optimal if and only if the underlying prior is a gamma distribution and the dark current parameter is zero.
Alex Dytso, H. Vincent Poor
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Stabilization of a nonlinear system by multiplicative noise
Physical Review A, 1991The effect of multiplicative colored noise on the stabilization of a bistable system is studied numerically. In particular, numerical simulation of a much discussed theoretical study carried out by Graham and Schenzle [Phys. Rev. A 26, 1676 (1982)] is presented.
, Billah, , Shinozuka
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Stability and stabilization of stochastic systems with multiplicative noise
International Journal of Control, Automation and Systems, 2011In this paper, stability and stabilization of linear stochastic time-invariant systems are studied based on spectrum technique. Firstly, the relationship among mean square exponential stability, asymptotical mean square stability, second-order moment exponential stability and the spectral location of the systems is revealed with the help of a spectrum ...
Huiying Sun, Meng Li, Weihai Zhang
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Stability and stabilization of discrete systems with multiplicative noise
1997 European Control Conference (ECC), 1997In this paper we consider the problem of the stabilization of unstable stochastic difference systems by the addition of multiplicative noise. We illustrate the possibilities of stabilization by uniformly and normally distributed multiplicative noises. Then we present different approaches to the problem of finding sufficient conditions for stability and
Mile Milisavljevic, Erik I. Verriest
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Noise-induced stabilization of the Lorenz system
Physical Review E, 1995The flip-flop process of the Lorenz system is described a a symbolic dynamical system, studied in the presence of noise, and quantified with a specific complexity measure. For small noise amplitudes the perturbation results in a generation of structure within the space of symbol sequences (discretized trajectories), corresponding to a stabilization of ...
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Noise and delay enhanced stability in tumor-immune responses to chemotherapy system
Chaos, Solitons and Fractals, 2021Wei-Long Duan, Ling Lin
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Stabilization by multiplicative noise
Physical Review A, 1982R. Graham, A. Schenzle
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