Neighbor Approximations for Distributed Optimal Control of Nonlinear Networked Systems

2020 ◽  
Author(s):  
Daniel Burk ◽  
Andreas Volz ◽  
Knut Graichen
Keyword(s):  
Optimal Control ◽  
Networked Systems ◽  
Distributed Optimal Control

Pontryagin maximum principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn–Hilliard–Navier–Stokes equations

Analysis ◽  
2020 ◽  
Vol 40 (3) ◽  
pp. 127-150
Author(s):  
Tania Biswas ◽  
Sheetal Dharmatti ◽  
Manil T. Mohan
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Stokes Equations ◽  
Minimum Principle ◽  
Immiscible Fluids ◽  
Second Order ◽  
Navier Stokes ◽  
Distributed Optimal Control ◽  
Navier Stokes Equations

AbstractIn this paper, we formulate a distributed optimal control problem related to the evolution of two isothermal, incompressible, immiscible fluids in a two-dimensional bounded domain. The distributed optimal control problem is framed as the minimization of a suitable cost functional subject to the controlled nonlocal Cahn–Hilliard–Navier–Stokes equations. We describe the first order necessary conditions of optimality via the Pontryagin minimum principle and prove second order necessary and sufficient conditions of optimality for the problem.

scholarly journals On the existence of a solution for some distributed optimal control hyperbolic system

2000 ◽  
Vol 23 (5) ◽  
pp. 297-311 ◽  
Author(s):  
Dariusz Idczak ◽  
Stanislaw Walczak
Keyword(s):  
Optimal Control ◽  
Hyperbolic System ◽  
Convex Set ◽  
Linear Time ◽  
Time Varying ◽  
Optimal Process ◽  
Existence Of A Solution ◽  
Distributed Optimal Control ◽  
Absolutely Continuous ◽  
State Variable

We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. We prove a theorem on the existence of an optimal process in the classes of absolutely continuous trajectories of two variables and measurable controls with values in a fixed compact and convex set.

Distributed optimal control for continuous-time nonaffine nonlinear interconnected systems

2021 ◽  
pp. 1-15
Author(s):  
Behzad Farzanegan ◽  
Amir Abolfazl Suratgar ◽  
Mohammad Bagher Menhaj ◽  
Mohsen Zamani
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Interconnected Systems ◽  
Distributed Optimal Control

scholarly journals Distributed optimal control of a nonstandard nonlocal phase field system

2016 ◽  
Vol 1 (3) ◽  
pp. 225-260 ◽  
Author(s):  
Pierluigi Colli ◽  
◽  
Gianni Gilardi ◽  
Jürgen Sprekels
Keyword(s):  
Optimal Control ◽  
Phase Field ◽  
Distributed Optimal Control ◽  
Field System ◽  
Phase Field System

scholarly journals Distributed optimal control of a nonstandard system of phase field equations

2011 ◽  
Vol 24 (4-6) ◽  
pp. 437-459 ◽  
Author(s):  
Pierluigi Colli ◽  
Gianni Gilardi ◽  
Paolo Podio-Guidugli ◽  
Jürgen Sprekels
Keyword(s):  
Optimal Control ◽  
Phase Field ◽  
Field Equations ◽  
Distributed Optimal Control ◽  
Phase Field Equations
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