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Linearly Solvable Stochastic Control Lyapunov Functions

Linearly Solvable Stochastic Control Lyapunov Functions

This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton--Jacobi--Bellman partial differential equation to a linear partial differential equation for a class of problems with a particular constraint on …