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Optimal control of counter-terrorism tactics
- Source :
- Applied Mathematics and Computation. 347:477-491
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- This paper presents an optimal control problem to analyze the efficacy of counter-terrorism tactics. We present an algorithm that efficiently combines the Minimum Principle of Pontryagin, the shooting method and the cyclic descent of coordinates. We also present a result that allows us to know a priori the steady state solutions. Using this technique we are able to choose parameters that reach a specific solution, of which there are two. Numerical examples are presented to illustrate the possibilities of the method. Finally, we study the sufficient conditions for optimality and suggest an improvement on the functional which also guarantees local optimality.
- Subjects :
- 0209 industrial biotechnology
Steady state (electronics)
Computer science
Applied Mathematics
020206 networking & telecommunications
02 engineering and technology
Optimal control
Pontryagin's minimum principle
Minimum principle
Computational Mathematics
020901 industrial engineering & automation
Shooting method
Control theory
0202 electrical engineering, electronic engineering, information engineering
A priori and a posteriori
Counter terrorism
Descent (mathematics)
Subjects
Details
- ISSN :
- 00963003
- Volume :
- 347
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Computation
- Accession number :
- edsair.doi...........2d490dddfd607de1b97c94ee4504ebd6