Article ID Journal Published Year Pages File Type
752005 Systems & Control Letters 2015 7 Pages PDF
Abstract

We give the solution to the minimum-energy control problem for linear stochastic systems. The problem is as follows: given an exactly controllable system, find the control process with the minimum expected energy that transfers the system from a given initial state to a desired final state. The solution is found in terms of a certain forward–backward stochastic differential equation of Hamiltonian type.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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