scholarly journals Almost mixed semi-continuous perturbation of Moreau's sweeping process

2020 ◽  
Vol 9 (1) ◽  
pp. 27-38
Author(s):  
Doria Affane ◽  
◽  
Meriem Aissous ◽  
Mustapha Fateh Yarou
Keyword(s):  
Sweeping Process ◽  
Moreau’S Sweeping Process ◽  
Continuous Perturbation

scholarly journals Higher Order Moreau’s Sweeping Process

2006 ◽  
pp. 261-277
Author(s):  
Vincent Acary ◽  
Bernard Brogliato
Keyword(s):  
Higher Order ◽  
Sweeping Process ◽  
Moreau’S Sweeping Process

An Introduction to Moreau’s Sweeping Process

2000 ◽  
pp. 1-60 ◽  
Author(s):  
Markus Kunze ◽  
Manuel D.P. Monteiro Marques
Keyword(s):  
Sweeping Process ◽  
Moreau’S Sweeping Process

scholarly journals Higher order Moreau’s sweeping process: mathematical formulation and numerical simulation

2006 ◽  
Vol 113 (1) ◽  
pp. 133-217 ◽  
Author(s):  
Vincent Acary ◽  
Bernard Brogliato ◽  
Daniel Goeleven
Keyword(s):  
Numerical Simulation ◽  
Mathematical Formulation ◽  
Higher Order ◽  
Sweeping Process ◽  
Moreau’S Sweeping Process

On Some Recent Developments Concerning Moreau’s Sweeping Process

2002 ◽  
pp. 339-354 ◽  
Author(s):  
A. H. Siddiqi ◽  
P. Manchanda ◽  
M. Brokate
Keyword(s):  
Sweeping Process ◽  
Moreau’S Sweeping Process ◽  
Recent Developments

scholarly journals The Minimum Time Function for the Controlled Moreau's Sweeping Process

2016 ◽  
Vol 54 (4) ◽  
pp. 2036-2062 ◽  
Author(s):  
Giovanni Colombo ◽  
Michele Palladino
Keyword(s):  
Time Function ◽  
Minimum Time ◽  
Sweeping Process ◽  
Minimum Time Function ◽  
Moreau’S Sweeping Process

scholarly journals Non-autonomous higher-order Moreau's sweeping process: Well-posedness, stability and Zeno trajectories

2018 ◽  
Vol 29 (5) ◽  
pp. 941-968 ◽  
Author(s):  
BERNARD BROGLIATO
Keyword(s):  
Dynamical Systems ◽  
Differential Algebraic Equations ◽  
Higher Order ◽  
Well Posedness ◽  
Sweeping Process ◽  
Algebraic Equations ◽  
Unilateral Constraints ◽  
Uniqueness Of Solutions ◽  
Autonomous Case ◽  
Moreau’S Sweeping Process

In this article, we study the higher-order Moreau's sweeping process introduced in [1], in the case where an exogenous time-varying functionu(·) is present in both the linear dynamics and in the unilateral constraints. First, we show that the well-posedness results (existence and uniqueness of solutions) obtained in [1] for the autonomous case, extend to the non-autonomous case whenu(·) is smooth and piece-wise analytic, after a suitable state transformation is done. Stability issues are discussed. The complexity of such non-smooth non-autonomous dynamical systems is illustrated in a particular case named the higher-order bouncing ball, where trajectories with accumulations of jumps are exhibited. Examples from mechanics and circuits illustrate some of the results. The link with complementarity dynamical systems and with switching differential-algebraic equations is made.

Numerical solution for a controlled nonconvex sweeping process

2021 ◽  
pp. 1-1
Author(s):  
Chadi Nour ◽  
Vera Zeidan
Keyword(s):  
Numerical Solution ◽  
Sweeping Process

Sweeping process with unbounded nonconvex perturbation

2014 ◽  
Vol 108 ◽  
pp. 291-301 ◽  
Author(s):  
A.A. Tolstonogov
Keyword(s):  
Sweeping Process

Reduction approach to second order perturbed state-dependent sweeping process

2019 ◽  
Vol 28 (2) ◽  
Author(s):  
MUSTAPHA FATEH YAROU
Keyword(s):  
Fixed Point Theory ◽  
Point Theory ◽  
Second Order ◽  
Sweeping Process ◽  
New Approach ◽  
Standard Methods ◽  
First Order ◽  
Finite Dimensional ◽  
Perturbed State ◽  
State Dependent

In this paper, we present a new approach to solving second order nonconvex perturbed sweeping process in finite dimensional setting. It consists in a reduction of the problem to a first order one without use of the standard methods of fixed point theory. The perturbation, that is the external force applied on the system is not necessary with bounded values.

Nonconvex Sweeping Process with a Moving Set Depending on the State

2014 ◽  
Vol 42 (4) ◽  
pp. 595-612 ◽  
Author(s):  
Jimmy Noel ◽  
Lionel Thibault
Keyword(s):  
The State ◽  
Sweeping Process
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