Further generalizations of Farkas' theorem and their applications in optimal control
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Publication:1378682
DOI10.1006/jmaa.1997.5612zbMath0902.49020OpenAlexW2020594720MaRDI QIDQ1378682
Publication date: 9 February 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5612
multiobjective optimizationset-valued mappingFarkas' theoremconstrained controllabilityconvex processGale alternative theorem
Multi-objective and goal programming (90C29) Linear programming (90C05) Programming in abstract spaces (90C48) Duality theory (optimization) (49N15)
Related Items (5)
Necessary and sufficient conditions for solving infinite-dimensional linear inequalities ⋮ Some dual characterizations of Farkas-type results for fractional programming problems ⋮ Constrained controllability of linear time-varying systems in banach spaces ⋮ New Farkas-type results for vector-valued functions: a non-abstract approach ⋮ Farkas lemma for convex systems revisited and applications to sublinear-convex optimization problems
Cites Work
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- Constrained controllability of linear infinite-dimensional systems: a set-valued analysis approach
- A new Farkas lemma for positive semidefinite matrices
- Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances
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