Switching properties of linear time optimal control problems with bounded state constraints

1981 ◽  
Vol 34 (1) ◽  
pp. 111-125 ◽  
Author(s):  
W.D. COLLINS
Keyword(s):  
Optimal Control ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Linear Time ◽  
Time Optimal Control ◽  
Control Problems ◽  
Bounded State ◽  
Time Optimal

Strong stability of linear parabolic time-optimal control problems

2019 ◽  
Vol 25 ◽  
pp. 1 ◽  
Author(s):  
Lucas Bonifacius ◽  
Konstantin Pieper
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Initial Point ◽  
Strong Stability ◽  
Time Optimal Control ◽  
Control Problems ◽  
Terminal Set ◽  
Time Optimal

Sufficient conditions for strong stability of a class of linear time-optimal control problems with general convex terminal set are derived. Strong stability in turn guarantees qualified optimality conditions. The theory is based on a characterization of weak invariance of the target set under the controlled equation. An appropriate strengthening of the resulting Hamiltonian condition ensures strong stability and yieldsa prioribounds on the size of multipliers, independent of,e.g., the initial point or the running cost. In particular, the results are applied to the control of the heat equation into anL2-ball around a desired state.

Neural Networks Solving Free and Fixed Final Time Optimal Control Problems

2014 ◽  
Vol 24 (02) ◽  
pp. 1440002
Author(s):  
Tibor Kmet
Keyword(s):  
Neural Network ◽  
Optimal Control ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Final Time ◽  
Adaptive Critic ◽  
Time Optimal ◽  
Control And State Constraints

In this paper, the neural network based optimal control synthesis is presented for solving free and fixed final time optimal control problems with the control and state constraints. The optimal control problem is transcribed into a nonlinear programming problem, which is implemented with the adaptive critic neural network. The proposed simulation methods are illustrated by the optimal control problem of photosynthetic production and the nitrogen transformation cycle model. The results show that the adaptive critic based systematic approach is promising in obtaining free and fixed final time optimal control with the control and state constraints.

scholarly journals On turnpike and dissipativity properties of continuous-time optimal control problems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 297-304 ◽  
Author(s):  
Timm Faulwasser ◽  
Milan Korda ◽  
Colin N. Jones ◽  
Dominique Bonvin
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal
Sign in / Sign up

Export Citation Format

Share Document