scholarly journals On continuous-time infinite horizon optimal control—Dissipativity, stability, and transversality

Automatica ◽  
2021 ◽  
Vol 134 ◽  
pp. 109907
Author(s):  
Timm Faulwasser ◽  
Christopher M. Kellett
Author(s):  
MING-AI LI ◽  
NAI-GONG YU ◽  
JUN-FEI QIAO ◽  
XIAO-GANG RUAN

An optimal control method based on continuous-time continuous-state Hopfield neural network (CTCSHNN) is proposed for time-varying multivariable systems. The equivalence is built theoretically between receding-horizon linear quadratic (LQ) performance index and energy function of CTCSHNN, and the CTCSHNN is constructed to solve the above LQ optimization control problems. Moreover, the rolling optimization strategy is adopted to form closed-loop control structure that includes CTCSHNN so, the dynamic infinite-horizon optimization control is realized for multivariable time-varying systems. As an example, a second order time-varying system is simulated. Simulation results show the effectiveness and feasibility of the proposed method.


2003 ◽  
Vol 2003 (11) ◽  
pp. 631-650 ◽  
Author(s):  
Musa A. Mamedov

We study the turnpike property for the nonconvex optimal control problems described by the differential inclusionx˙∈a(x). We study the infinite horizon problem of maximizing the functional∫0Tu(x(t))dtasTgrows to infinity. The turnpike theorem is proved for the case when a turnpike set consists of several optimal stationary points.


Sign in / Sign up

Export Citation Format

Share Document