Mathematical Control Theory and Finance

This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and comput...

Full description

Bibliographic Details
Other Authors: Sarychev, Andrey (Editor), Shiryaev, Albert (Editor), Guerra, Manuel (Editor), Grossinho, Maria do Rosário (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:1st ed. 2008
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Extremals Flows and Infinite Horizon Optimization
  • Laplace Transforms and the American Call Option
  • Time Change, Volatility, and Turbulence
  • External Dynamical Equivalence of Analytic Control Systems
  • On Option-Valuation in Illiquid Markets: Invariant Solutions to a Nonlinear Model
  • Predicting the Time of the Ultimate Maximum for Brownian Motion with Drift
  • A Stochastic Demand Model for Optimal Pricing of Non-Life Insurance Policies
  • Optimality of Deterministic Policies for Certain Stochastic Control Problems with Multiple Criteria and Constraints
  • Higher-Order Calculus of Variations on Time Scales
  • Finding Invariants of Group Actions on Function Spaces, a General Methodology from Non-Abelian Harmonic Analysis
  • Nonholonomic Interpolation for Kinematic Problems, Entropy and Complexity
  • Instalment Options: A Closed-Form Solution and the Limiting Case
  • Existence and Lipschitzian Regularity for Relaxed Minimizers
  • Pricing of Defaultable Securities under Stochastic Interest
  • Spline Cubatures for Expectations of Diffusion Processes and Optimal Stopping in Higher Dimensions (with Computational Finance in View)
  • An Approximate Solution for Optimal Portfolio in Incomplete Markets
  • Carleman Linearization of Linearly Observable Polynomial Systems
  • Observability of Nonlinear Control Systems on Time Scales - Sufficient Conditions
  • Sufficient Optimality Conditions for a Bang-bang Trajectory in a Bolza Problem
  • Modelling Energy Markets with Extreme Spikes
  • Generalized Bayesian Nonlinear Quickest Detection Problems: On Markov Family of Sufficient Statistics
  • Necessary Optimality Condition for a Discrete Dead Oil Isotherm Optimal Control Problem
  • Managing Operational Risk: Methodology and Prospects