Results 121 to 130 of about 2,308 (150)
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The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix
Computational Optimization and Applications, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-Baptiste Hiriart-Urruty +1 more
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Applied Mathematics and Optimization, 2021
In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
Zuomao Yan
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In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
Zuomao Yan
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A Note On The Clarke Subdifferential
The American Mathematical Monthly, 1998L yON y?N j for every x E U and every Lebesgue null set N containing the set of points where h is not differentiable. By h'(y) we mean the derivative of h at y provided it exists. There are numerous general results about characterizing the Clarke subdifferential. We refer to [2] and [3], from which the following result may be deduced.
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Representation of the Clarke subdifferential for a regular quasidifferentiable function
Journal of Optimization Theory and Applications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V F Demyanov, C Sutti
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Journal of Nonlinear and Variational Analysis, 2022
Summary: The goal of this paper is to study optimal feedback control for a class of non-autonomous second-order evolution inclusions with Clarke's subdifferential in a separable reflexive Banach space. We only assume that the second order evolution operator involved satisfies the strong continuity condition instead of the compactness, which was used in
Chen, Jun +3 more
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Summary: The goal of this paper is to study optimal feedback control for a class of non-autonomous second-order evolution inclusions with Clarke's subdifferential in a separable reflexive Banach space. We only assume that the second order evolution operator involved satisfies the strong continuity condition instead of the compactness, which was used in
Chen, Jun +3 more
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Neutral fractional stochastic partial differential equations with Clarke subdifferential
Applicable Analysis, 2020By using fractional calculus, stochastic analysis theory and fixed point theorems, sufficient conditions for approximate controllability of nonlocal Sobolev-type neutral fractional stochastic diffe...
Hamdy M. Ahmed +2 more
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Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions
Nonlinear Analysis: Theory, Methods & Applications, 2002It is well known that the Clarke subdifferential of a Lipschitz function is an essential tool in nonsmooth analysis and especially in nonsmooth optimization. Nevertheless, there exists a large class of pathological Lipschitz functions for which this notion provides no information about the local behavior of the function. So in recent papers it is shown
Borwein, Jon +2 more
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Applicable Analysis, 2017
AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Nan-Jing Huang, Jen-Chih Yao
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AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Nan-Jing Huang, Jen-Chih Yao
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2021
In this paper, a class of nonlocal fractional evolution inclusions of Clarke’s subdifferential on semi-infinite intervals is concerned. Based on the semigroup theory, nonlinear alternative of Leray-Schauder and the method of diagonalization process, the nonlocal controllability result is proved. An example is presented to illustrate the main result.
Xuemei Li, Xinge Liu, Meilan Tang
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In this paper, a class of nonlocal fractional evolution inclusions of Clarke’s subdifferential on semi-infinite intervals is concerned. Based on the semigroup theory, nonlinear alternative of Leray-Schauder and the method of diagonalization process, the nonlocal controllability result is proved. An example is presented to illustrate the main result.
Xuemei Li, Xinge Liu, Meilan Tang
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Nonlinear Analysis: Theory, Methods & Applications, 2012
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