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Mathematical Social Sciences
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Sebastián Cea-Echenique +1 more
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Sebastián Cea-Echenique +1 more
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IEEE/CAA Journal of Automatica Sinica, 2014
This paper is focused on adaptively controlling a linear infinite-dimensional system to track a finite-dimensional reference model. Given a linear continuous-time infinite-dimensional plant on a Hilbert space with disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing direct model reference adaptive ...
Mark J. Balas, Susan A. Frost
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This paper is focused on adaptively controlling a linear infinite-dimensional system to track a finite-dimensional reference model. Given a linear continuous-time infinite-dimensional plant on a Hilbert space with disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing direct model reference adaptive ...
Mark J. Balas, Susan A. Frost
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Journal of Physics A: Mathematical and General, 1997
Summary: By averaging over the frequencies of the oscillations, the spacing distribution of the infinite-dimensional harmonic oscillator is shown to be \(e^{-s}\), following the universal behaviour of spacing distributions of integrable systems. For oscillators of finite dimension, \(n\), reasons for the model distribution, \(\zeta(n)^{-1}e^{\zeta(n)^{-
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Summary: By averaging over the frequencies of the oscillations, the spacing distribution of the infinite-dimensional harmonic oscillator is shown to be \(e^{-s}\), following the universal behaviour of spacing distributions of integrable systems. For oscillators of finite dimension, \(n\), reasons for the model distribution, \(\zeta(n)^{-1}e^{\zeta(n)^{-
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Russian Journal of Mathematical Physics, 2014
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2000
We introduce an analog of the extended stochastic integral on generalized function spaces of non-Gaussian infinite dimensional analysis and discuss the properties of such integral and its relation to Wick calculus. Then we consider some examples of application of constructed objects to solving generalized stochastic equations.
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We introduce an analog of the extended stochastic integral on generalized function spaces of non-Gaussian infinite dimensional analysis and discuss the properties of such integral and its relation to Wick calculus. Then we consider some examples of application of constructed objects to solving generalized stochastic equations.
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AIAA Guidance, Navigation, and Control (GNC) Conference, 2013
Mark J. Balas, Susan A. Frost
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Mark J. Balas, Susan A. Frost
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Gradient lines and distributions of functionals in infinite dimensional Euclidean spaces
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AIAA Guidance, Navigation, and Control Conference, 2017
Mark J. Balas, Susan A. Frost
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Mark J. Balas, Susan A. Frost
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Change of variable formulas for infinite-dimensional distributions
Mathematical Notes, 1996O G Smolyanov, Smolyanov O G
exaly