Minimizing the Energy of a Quad Rotor in Free Final Time Using Bocop Software

2019 ◽  
pp. 209-221
Author(s):  
Lounis Abbes ◽  
Kahina Louadj ◽  
Philippe Marthon ◽  
Abdelkrim Nemra ◽  
Mohamed Aidene
Keyword(s):  
Final Time

Music, Landscape, and the Sound of Place

2016 ◽  
Vol 33 (1) ◽  
pp. 11-44 ◽  
Author(s):  
Daniel M. Grimley
Keyword(s):  
Sense Of Place ◽  
Natural Environment ◽  
Cultural Geography ◽  
Continental Philosophy ◽  
British Library ◽  
Musical Meaning ◽  
Final Time ◽  
Walking Tour ◽  
Meaning Representation ◽  
Critical Literature

One of the most poignant scenes in Ken Russell’s 1968 film Delius: Song of Summer evocatively depicts the ailing composer being carried in a wicker chair to the summit of the mountain behind his Norwegian cabin. From here, Delius can gaze one final time across the broad Gudbrandsdal and watch the sun set behind the distant Norwegian fells. Contemplating the centrality of Norway in Delius’s output, however, raises more pressing questions of musical meaning, representation, and our relationship with the natural environment. It also inspires a more complex awareness of landscape and our sense of place, both historical and imagined, as a mode of reception and an interpretative tool for approaching Delius’s music. This essay focuses on one of Delius’s richest but most critically neglected works, The Song of the High Hills for orchestra and wordless chorus, composed in 1911 but not premiered until 1920. Drawing on archival materials held at the British Library and the Grainger Museum, Melbourne, I examine the music’s compositional genesis and critical reception. Conventionally heard (following Thomas Beecham and Eric Fenby) as an imaginary account of a walking tour in the Norwegian mountains, The Song of the High Hills in fact offers a multilayered response to ideas of landscape and nature. Moving beyond pictorial notions of landscape representation, I draw from recent critical literature in cultural geography to account for the music’s sense of place. Hearing The Song of the High Hills from this perspective promotes a keener understanding of our phenomenological engagement with sound and the natural environment, and underscores the parallels between Delius’s work and contemporary developments in continental philosophy, notably the writing of Henri Bergson.

scholarly journals An Inverse Source Problem for the Generalized Subdiffusion Equation with Nonclassical Boundary Conditions

2021 ◽  
Vol 5 (3) ◽  
pp. 63
Author(s):  
Emilia Bazhlekova
Keyword(s):  
Boundary Conditions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Stability Estimates ◽  
Inverse Source Problem ◽  
Time Data ◽  
Final Time ◽  
Generalized Eigenfunction ◽  
The One ◽  
Initial Boundary Value

An initial-boundary-value problem is considered for the one-dimensional diffusion equation with a general convolutional derivative in time and nonclassical boundary conditions. We are concerned with the inverse source problem of recovery of a space-dependent source term from given final time data. Generalized eigenfunction expansions are used with respect to a biorthogonal pair of bases. Existence, uniqueness and stability estimates in Sobolev spaces are established.

Inverse problems for stochastic parabolic equations with additive noise

2020 ◽  
Vol 29 (1) ◽  
pp. 93-108
Author(s):  
Ganghua Yuan
Keyword(s):  
Inverse Problems ◽  
Parabolic Equations ◽  
Additive Noise ◽  
Stability Result ◽  
Main Tool ◽  
Conditional Stability ◽  
Final Time ◽  
History Of ◽  
Global Carleman Estimate ◽  
Stochastic Parabolic Equation

Abstract In this paper, we study two inverse problems for stochastic parabolic equations with additive noise. One is to determinate the history of a stochastic heat process and the random heat source simultaneously by the observation at the final time 𝑇. For this inverse problem, we obtain a conditional stability result. The other one is an inverse source problem to determine two kinds of sources simultaneously by the observation at the final time and on the lateral boundary. The main tool for solving the inverse problems is a new global Carleman estimate for the stochastic parabolic equation.

scholarly journals Optimal and Suboptimal Control of a Standard Brownian Motion

2016 ◽  
Vol 26 (3) ◽  
pp. 383-394
Author(s):  
Mario Lefebvre
Keyword(s):  
Brownian Motion ◽  
Cost Function ◽  
Suboptimal Control ◽  
Linear Control ◽  
Standard Brownian Motion ◽  
Final Time ◽  
Best Constant ◽  
Constant Control

Abstract The problem of optimally controlling a standard Brownian motion until a fixed final time is considered in the case when the final cost function is an even function. Two particular problems are solved explicitly. Moreover, the best constant control as well as the best linear control are also obtained in these two particular cases.

Determination of a spatial load in a damped Kirchhoff-Love plate equation from final time measured data

2021 ◽  
Author(s):  
Anjuna Dileep ◽  
Sakthivel Kumarasamy ◽  
Alemdar Hasanov
Keyword(s):  
Measured Data ◽  
Plate Equation ◽  
Final Time

On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion

2021 ◽  
pp. 2140011
Author(s):  
Tomás Caraballo ◽  
Tran Bao Ngoc ◽  
Tran Ngoc Thach ◽  
Nguyen Huy Tuan
Keyword(s):  
Brownian Motion ◽  
Diffusion Equation ◽  
Stochastic Integrals ◽  
Well Posedness ◽  
Time Data ◽  
Final Time ◽  
Fractional Brownian Motions ◽  
Nonclassical Diffusion Equation ◽  
Definition Of ◽  
Well Posed

This paper is concerned with the mathematical analysis of terminal value problems (TVP) for a stochastic nonclassical diffusion equation, where the source is assumed to be driven by classical and fractional Brownian motions (fBms). Our two problems are to study in the sense of well-posedness and ill-posedness meanings. Here, a TVP is a problem of determining the statistical properties of the initial data from the final time data. In the case [Formula: see text], where [Formula: see text] is the fractional order of a Laplace operator, we show that these are well-posed under certain assumptions. We state a definition of ill-posedness and obtain the ill-posedness results for the problems when [Formula: see text]. The major analysis tools in this paper are based on properties of stochastic integrals with respect to the fBm.

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