Stability of Stochastic Dynamical Systems

Proceedings of the International Symposium Organized by 'The Control Theory Centre', University of Warwick, July 10-14, 1972
Herausgegeben:Curtain, R. F.

• Broschiertes Buch

Produktbeschreibung

Stochastic differentials of continuous local quasi-martingales.- An application of it¿'s formula to stochastic control systems.- Stability and angular behavior of solutions of stochastic differential equations.- Boundedness properties for stochastic systems.- System identification.- Parametrization and identification of linear multivariable systems.- Optimization of sensors' location in a distributed filtering problem.- Some banach-valued processes with applications.- Stochastic stability.- Stabilization of linear systems with multiplicative noise.- Lyapunov functions and global frequency domain stability criteria for a class of stochastic feedback systems.- Stability of model-reference systems with random inputs.- Regions of instability for a linear system with random parametric excitation.- Analytical study on n-th order linear system with stochastic coefficients.- Stability of the linear stochastic system.- The fokker-planck-kolmogorov equation in the analysis of nonlinear feedback stochastic systems.- Stability of linear cylindrical shells subjected to stochastic excitations.- Average value criteria for stochastic stability.- Ultimate behaviour of a class of stochastic differential systems dependent on a parameter.- Stable periodic solutions of weakly nonlinear stochastic differential equations.- Stability of mechanical systems under stochastic parametric excitation.- Waves in a rotating stratified fluid with laterally varying random inhomogeneities.- The stability of a satellite with parametric excitation by the fluctuations of the geomagnetic field.- Application of averaging principle in nonlinear oscillatory stochastic systems.- Optimization of multi-dimensional stochastic systems and stability of solutions.

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Produktdetails

• Lecture Notes in Mathematics 294
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-06050-5
• 1972.
• Seitenzahl: 348
• Erscheinungstermin: 30. Oktober 1972
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 558g
• ISBN-13: 9783540060505
• ISBN-10: 3540060502
• Artikelnr.: 23380185

Inhaltsangabe

Stochastic differentials of continuous local quasi-martingales.- An application of itô's formula to stochastic control systems.- Stability and angular behavior of solutions of stochastic differential equations.- Boundedness properties for stochastic systems.- System identification.- Parametrization and identification of linear multivariable systems.- Optimization of sensors' location in a distributed filtering problem.- Some banach-valued processes with applications.- Stochastic stability.- Stabilization of linear systems with multiplicative noise.- Lyapunov functions and global frequency domain stability criteria for a class of stochastic feedback systems.- Stability of model-reference systems with random inputs.- Regions of instability for a linear system with random parametric excitation.- Analytical study on n-th order linear system with stochastic coefficients.- Stability of the linear stochastic system.- The fokker-planck-kolmogorov equation in the analysis of nonlinear feedback stochastic systems.- Stability of linear cylindrical shells subjected to stochastic excitations.- Average value criteria for stochastic stability.- Ultimate behaviour of a class of stochastic differential systems dependent on a parameter.- Stable periodic solutions of weakly nonlinear stochastic differential equations.- Stability of mechanical systems under stochastic parametric excitation.- Waves in a rotating stratified fluid with laterally varying random inhomogeneities.- The stability of a satellite with parametric excitation by the fluctuations of the geomagnetic field.- Application of averaging principle in nonlinear oscillatory stochastic systems.- Optimization of multi-dimensional stochastic systems and stability of solutions.