scholarly journals Distributed Control Synthesis

10.29007/4wwx ◽  
2018 ◽  
Author(s):  
Doron Peled ◽  
Sven Schewe
Keyword(s):  
Distributed Systems ◽  
Control Problem ◽  
Distributed Control ◽  
Control Synthesis ◽  
Distributed Control Problem ◽  
Undecidable Problem

Synthesis of control for distributed systems is considered to be undecidable problem, under the assumption that control is performed by supervisors syncrhonizing with the original processes and selectively blocking or supporting the enabled transitions. We describe a decidable distributed control problem, where additional communications are allowed between supervisors. In this way, we synthesize control for invariants, reachability, repeated reachability and parity conditions. Special attention is given to reducing the number of added communications.

OPTIMALITY CONDITIONS FOR COOPERATIVE PARABOLIC SYSTEMS GOVERNED BY SCHRÖDINGER OPERATORS WITH CONTROL CONSTRAINTS

2008 ◽  
Vol 01 (02) ◽  
pp. 131-146 ◽  
Author(s):  
G. M. Bahaa
Keyword(s):  
Control Problem ◽  
Optimality Conditions ◽  
Distributed Control ◽  
Performance Index ◽  
Integral Form ◽  
Parabolic Systems ◽  
Control Problems ◽  
Control Constraints ◽  
Distributed Control Problem ◽  
The Neumann Problem

A distributed control problem for cooperative parabolic systems governed by Schrödinger operator is considered. The performance index is more general than the quadratic one and has an integral form. Constraints on controls are imposed. Making use of the Dubovitskii-Milyutin Theorem given by Walczak (1984, On some control problems Acta Univ. Lod. Folia Math., 1, 187-196), the optimality conditions are derived for the Neumann problem. Finally, several mathematical examples for derived optimality conditions are presented.

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