The motion of a variable body in an ideal fluid

Козлов, В. В.; Ramodanov, S. M.

doi:10.1016/s0021-8928(01)00063-6

Cited by 35 publications

(23 citation statements)

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“…Mathematical models of fish-like swimming have attracted increasing attention in recent years [Ch,Ga,KMR,KM,KO,KR1,KR2,Lg,Sa,ST,Wu]. It is generally assumed that the shape of the body can be assigned as a function of time.…”

Section: Locomotion In Fluidsmentioning

confidence: 99%

Impulsive control of Lagrangian systems and locomotion in fluids

Bressan¹

2008

Discrete &Amp; Continuous Dynamical Systems - A

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Abstract. Aim of this paper is to provide a survey of the theory of impulsive control of Lagrangian systems. It is assumed here that an external controller can determine the evolution of the system by directly prescribing the values of some of the coordinates. We begin by motivating the theory with a couple of elementary examples. Then we discuss the analytical form taken by the equations of motion, and their impulsive character. The following sections review various results found in the literature concerning the continuity of the control-to-trajectory map, the existence of optimal controls, and the asymptotic controllability to a reference state. In the last section we indicate a further application of the theory, to the control of deformable bodies immersed in a fluid.

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Section: Locomotion In Fluidsmentioning

confidence: 99%

Impulsive control of Lagrangian systems and locomotion in fluids

Bressan¹

2008

Discrete &Amp; Continuous Dynamical Systems - A

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“…В данной работе рассматривается задача об управляемом движении тела в жидкости только за счет изменения распределения масс внутри тела. Теоретическая возможность такого передвижения была показана в [18]. Затем в работах [7,13,17] приведен ряд примеров управления телом за счет перемещения внутри тела точечной массы.…”

Section: введение и исторические комментарииunclassified

The contol of the motion through an ideal fluid of a rigid body by means of two moving masses

Kilin¹,

Vetchanin²

2015

Nelin. Dinam.

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“…The vector 103 + k is the angular momentum of the variable body about its centre of mass. Equations (1.4) have been extended [3] to the case of the three-dimensional motion of a variable body (when G = E(3)). [3].…”

Section: Variable Systems On Lie Groupsmentioning

confidence: 99%

“…Equations (1.4) have been extended [3] to the case of the three-dimensional motion of a variable body (when G = E(3)). [3]. In this case G is E(3) -the group of motions of Euclidean three-space, and Eqs (1.3)become Kirchhoff's system of equations…”

Section: Variable Systems On Lie Groupsmentioning

confidence: 99%