Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving
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UNGUREANU, Valeriu. Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving. In: Computer Science Journal of Moldova, 2013, nr. 1(61), pp. 65-85. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(61) / 2013 / ISSN 1561-4042 /ISSNe 2587-4330

Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving
CZU: 519.854
MSC 2010: 49K21, 49N05, 93C05, 93C55, 90C05, 90C29, 91A10, 91A20, 91A44, 91A50

Pag. 65-85

Ungureanu Valeriu
 
Moldova State University
 
 
Disponibil în IBN: 13 decembrie 2013


Rezumat

A direct-straightforward method for solving linear discrete- time optimal control problem is applied to solve control problem of a linear discrete-time system as a mixture of multicriteria Stackelberg and Nash games. For simplicity, the exposure starts with the simplest case of linear discrete-time optimal control problem and, by sequential considering of more general cases, investigation finalizes with the highlighted Pareto-Nash-Stackelberg and set valued control problems. Di®erent principles of solving are compared and their equivalence is proved. Mathematics Subject Classification 2010: 49K21, 49N05, 93C05, 93C55, 90C05, 90C29, 91A10, 91A20, 91A44, 91A50.

Cuvinte-cheie
Linear discrete-time control problem,

non- cooperative game, multi-criteria strategic game, Pareto-Nash- Stackelberg control.