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High gain control of Stochastic Differential Equations: Analytical and Numerical methods for the calculation of moment exponents and rotation numbers - Brossura
Sinossi
This work tries to address the problem of assessing the long term dynamics of control systems described by linear, stochastic, differential equations upon application of high gain, proportional, output feedback. Stability of such stochastic systems is characterized by moment exponents and rotation numbers. We present two analytical techniques to determine mean or else almost sure stability and rotation in state space. The first is projection onto the unit sphere, derivation of the associated Fokker-Planck equation on projective space and finally computation of mean exponents and rotation numbers, the stochastic equivalents of the real and imaginary parts of eigenvalues, by using ergodic arguments that allow passing from time to space averages. The second is an expansion technique based on a perturbation analysis of the generator that defines the diffusion. As an alternative or compliment to mean stability we discuss furthermore second mean stabilization and a linear algebraic technique with roots in control theory for calculating second mean exponents.
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High gain control of Stochastic Differential Equations
Editore:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838366530
ISBN 13: 9783838366531
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Da: moluna, Greven, Germania
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High gain control of Stochastic Differential Equations
Editore:
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838366530
ISBN 13: 9783838366531
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work tries to address the problem of assessing the long term dynamics of control systems described by linear, stochastic, differential equations upon application of high gain, proportional, output feedback. Stability of such stochastic systems is characterized by moment exponents and rotation numbers. We present two analytical techniques to determine mean or else almost sure stability and rotation in state space. The first is projection onto the unit sphere, derivation of the associated Fokker-Planck equation on projective space and finally computation of mean exponents and rotation numbers, the stochastic equivalents of the real and imaginary parts of eigenvalues, by using ergodic arguments that allow passing from time to space averages. The second is an expansion technique based on a perturbation analysis of the generator that defines the diffusion. As an alternative or compliment to mean stability we discuss furthermore second mean stabilization and a linear algebraic technique with roots in control theory for calculating second mean exponents. 156 pp. Englisch. Codice articolo 9783838366531
Quantità: 2 disponibili
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High gain control of Stochastic Differential Equations : Analytical and Numerical methods for the calculation of moment exponents and rotation numbers
Editore:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838366530
ISBN 13: 9783838366531
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This work tries to address the problem of assessing the long term dynamics of control systems described by linear, stochastic, differential equations upon application of high gain, proportional, output feedback. Stability of such stochastic systems is characterized by moment exponents and rotation numbers. We present two analytical techniques to determine mean or else almost sure stability and rotation in state space. The first is projection onto the unit sphere, derivation of the associated Fokker-Planck equation on projective space and finally computation of mean exponents and rotation numbers, the stochastic equivalents of the real and imaginary parts of eigenvalues, by using ergodic arguments that allow passing from time to space averages. The second is an expansion technique based on a perturbation analysis of the generator that defines the diffusion. As an alternative or compliment to mean stability we discuss furthermore second mean stabilization and a linear algebraic technique with roots in control theory for calculating second mean exponents. Codice articolo 9783838366531
Quantità: 1 disponibili
Immagini fornite dal venditore
High gain control of Stochastic Differential Equations
Editore:
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838366530
ISBN 13: 9783838366531
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Neuware -This work tries to address the problem of assessing the long term dynamics of control systems described by linear, stochastic, differential equations upon application of high gain, proportional, output feedback. Stability of such stochastic systems is characterized by moment exponents and rotation numbers. We present two analytical techniques to determine mean or else almost sure stability and rotation in state space. The first is projection onto the unit sphere, derivation of the associated Fokker-Planck equation on projective space and finally computation of mean exponents and rotation numbers, the stochastic equivalents of the real and imaginary parts of eigenvalues, by using ergodic arguments that allow passing from time to space averages. The second is an expansion technique based on a perturbation analysis of the generator that defines the diffusion. As an alternative or compliment to mean stability we discuss furthermore second mean stabilization and a linear algebraic technique with roots in control theory for calculating second mean exponents.Books on Demand GmbH, Überseering 33, 22297 Hamburg 156 pp. Englisch. Codice articolo 9783838366531
Quantità: 2 disponibili