arXiv subjects

Yuanzun Zhao

Publications and source records attributed to Yuanzun Zhao.

2 recordsLinked to original sources

arXiv2015

Generalized Pontryagin Maximum Principle in port-Hamiltonian Systems and Application

Based on Pontryagin Maximum Principle (PMP), this paper establishes a generalized PMP aiming at control system with with extra input/output terms. The paper details the adaptive target and gives a proof of the generalized theorem. Transformation and application of this specific method is showed and thereafter an example explained its feasibility.

math.OC↗

arXiv2015

Generalization of Pontryagin Maximum Principle with Stochastic Initial Conditions

Based on Pontryagin Maximum Principle (PMP), this paper established a generalized PMP aiming at non-feedback control system with stochastic initial conditions. We proved the conclusion and show its coming back to PMP when the randomness collapses. Through the generalized PMP, a general method is introduced to solve expectation maximum problem of these systems and thereafter an example showed its feasibility.

math.OC↗