Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations
Springer (Verlag)
978-0-7923-5718-6 (ISBN)
1 Gradient Systems in a Lie Algebra.- 1.1 Preliminaries.- 1.2 Gradient systems in Fn and Der (Rn).- 1.3 Gradient Systems Determined by a Lie Algebra.- 2 Representation of a Gradient System.- 2.1 Finite-Dimensional Lie Algebra.- 2.2 The Maximal Rank Lie Algebra.- 2.3 Integral Manifolds.- 2.4 Some applications.- 3 F. G. O. Lie Algebras.- 3.1 Lie algebras finitely generated over orbits.- 3.2 Nonsingularity of the gradient system.- 3.3 Some Applications.- 4 Applications.- 4.1 Systems of Semiliniar Equations.- 4.2 Stochastic Differential Equations.- 4.3 Systems of Hyperbolic equations.- 4.4 Finite-Dimensional Nonlinear Filters.- 4.5 Affine Control Systems.- 4.6 Integral Representation of Solutions.- 4.7 Decomposition of affine control systems.- 5 Stabilization and Related Problems.- 5.1 Equivalent Controllable Systems.- 5.2 Approximations, Small Controls.- 5.3 Nonlinear Control Systems.- 5.4 Stabilization of Affine Control Systems.- 5.5 Controlled Invariant Lie Algebras.- 5.6 Stochastic differential equations.
Erscheint lt. Verlag | 31.5.1999 |
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Reihe/Serie | Mathematics and Its Applications ; 466 | Mathematics and Its Applications ; 466 |
Zusatzinfo | X, 243 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Analysis | |
ISBN-10 | 0-7923-5718-3 / 0792357183 |
ISBN-13 | 978-0-7923-5718-6 / 9780792357186 |
Zustand | Neuware |
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