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Optimal Control of Differential Inclusions, II: Sweeping
Известия Иркутского государственного университета: Серия "Математика", 2020 This paper is devoted to optimal control of dynamical systems governed by differential inclusions with discontinuous velocity mappings. This framework mostly concerns a new class of optimal control problems described by various versions of the socalled ...
B.S. Mordukhovich
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Quartz under stress: Raman calibration and applications of metamorphic inclusions to geobarometry [PDF]
Solid Earth, 2023 An experimental calibration of the shifts of three major Raman peaks of quartz with hydrostatic pressure and uniaxial differential stress is presented, and implications for their use in geobarometry based on Raman spectroscopy of quartz inclusions are ...
B. Reynard, X. Zhong
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The Filippov-Wazewski relaxation theorem revisited [PDF]
, 1999 The converse statement of the Filippov-Wazewski relaxation theorem is proven, more precisely, two differential inclusions have the same closure of their solution sets if and only if the right-hand sides have the same convex hull. The idea of the proof is
Joó, István, Tallos, Péter
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Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions
Abstract and Applied Analysis, 2013 We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
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On reduction of differential inclusions and Lyapunov stability
, 2019 In this paper, locally Lipschitz, regular functions are utilized to identify and remove infeasible directions from set-valued maps that define differential inclusions.
Dixon, Warren E. +2 more
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Controllability of fractional order integro-differential inclusions with infinite delay
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper concerns for controllability of fractional order integro-differential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the controllability of fractional order integro-differential inclusions ...
Khalida Aissani +2 more
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Two sequential fractional hybrid differential inclusions
Advances in Difference Equations, 2020 The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions.
Hakimeh Mohammadi +3 more
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The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution [PDF]
, 2009 An implementation of the Causal Differential Method (CDM) for modelling the effective properties of a random two-phase composite material is presented. Such materials are commonly used as ultrasonic transducer matching layersor backing layers. The method
Mulholland, A.J. +2 more
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Measure Driven Differential Inclusions
Journal of Mathematical Analysis and Applications, 1996 The authors discuss the concept of robust solution to the measure driven differential inclusion \[ dx(t)\in F(t,x(t))dt+ G(t,x(t))\mu(dt)\quad\text{on }[0,1],\;x(0)=b. \] Here, \(F\) and \(G\) are given multivalued mappings, the initial value \(b\) is a given point in \(\mathbb{R}^n\), and \(\mu\) is some nonnegative scalar-valued measure on the Borel ...
Silva, G.N., Vinter, R.B.
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Optimal Control of Differential Inclusions, I: Lipschitzian case
Известия Иркутского государственного университета: Серия "Математика", 2019 We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation.
B.S. Mordukhovich
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