Relation between relaxability and performance stability for optimal control problems governed by non-linear evolution equations
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Papageorgiou Nikolaos, S
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We establish an equivalence between notions of relaxability and well-posedness (stability) in the sense of performance criterion convergence for a large class of non-linear control systems with state and control constraints. We thereby obtain some intermediate results of independent interest, such as existence and closure theorems for the relaxed system and a density result of the original trajectories into the set of relaxed ones. The example of a parabolic system is formulated in detail.
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journalArticle
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Relaxability
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Operations Research & Management Science
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Evolution Equation
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Automation & Control Systems
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Computer Science, Theory & Methods
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Control Systems, Optimal
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Optimal Control Problem
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Control Systems, Nonlinear
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Mathematical Techniques - Convergence of Numerical Methods
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