Optimal control systems with state variable jump discontinuities

1980 ◽  
Vol 31 (2) ◽  
pp. 195-205 ◽  
Author(s):  
W. M. Getz ◽  
D. H. Martin
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
State Variable ◽  
Jump Discontinuities

scholarly journals Optimal Control of Particle Advection in Couette and Poiseuille Flows

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Teresa Grilo ◽  
Fernando Lobo Pereira ◽  
Sílvio Gama
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Dynamic Control ◽  
Mathematical Framework ◽  
State Variable ◽  
Underwater Gliders ◽  
Time Control ◽  
The Pontryagin Maximum Principle ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows

We present the problem of minimum time control of a particle advected in Couette and Poiseuille flows and solve it by using the Pontryagin maximum principle. This study is a first step of an effort aiming at the development of a mathematical framework for the control and optimization of dynamic control systems whose state variable is driven by interacting ODEs and PDEs which can be applied in the control of underwater gliders and mechanical fishes.

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.

scholarly journals A New Structure to Design Optimal Control Systems

1994 ◽  
Vol 27 (11) ◽  
pp. 101-104 ◽  
Author(s):  
L. Keviczky ◽  
C.S. Bányász
Keyword(s):  
Optimal Control ◽  
Control Systems
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