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Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation
time-inconsistent optimal control problem equilibrium value function equilibrium Hamilton Jacobi-Bellman equation
2012/4/18
A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equat...
Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Riccati equations Banach algebras Systems over rings H1 control Spatially distributed dynamical systems
2011/9/21
Abstract: Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot ^\star$. Sufficient conditions are given for the existence of a stabilizing solution to the $H^\i...
A global Monte-Carlo method for fitting parameters of differential equation models
global Monte-Carlo method fitting parameters Quantitative Methods
2011/10/8
Abstract: Finding the parameter values of differential equation models from data is an important part of the modelling process. Large models and sparse data often make the parameters very difficult to...