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On Well-Posedness of Relay Systems
IFAC Proceedings Volumes, 2001Abstract In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two different solution concepts. We derive necessary and sufficient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay feedback.
Pogromsky, A.Y. +2 more
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2010
We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
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We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
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Well-Posedness and Optimization under Perturbations
Annals of Operations Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Well-posedness of Nonconvex Integral Functionals
Proceedings of the 44th IEEE Conference on Decision and Control, 2004Multiple integrals of the calculus of variations with vector-valued unknown are considered. Strong Tikhonov well-posedness within \(W^{1,1}_0\) of the corresponding minimum problems is proved assuming strict convexity of the integrand at the gradient of the minimizer.
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Well-posedness and regularity for fractional damped wave equations
, 2020Yong Zhou, J. He
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