747 research outputs found
Noether's Theorem for Control Problems on Time Scales
We prove a generalization of Noether's theorem for optimal control problems
defined on time scales. Particularly, our results can be used for
discrete-time, quantum, and continuous-time optimal control problems. The
generalization involves a one-parameter family of maps which depend also on the
control and a Lagrangian which is invariant up to an addition of an exact delta
differential. We apply our results to some concrete optimal control problems on
an arbitrary time scale.Comment: This is a preprint of a paper whose final and definite form is
published in International Journal of Difference Equations ISSN 0973-6069,
Vol. 9 (2014), no. 1, 87--10
Euler-Lagrange equations for composition functionals in calculus of variations on time scales
In this paper we consider the problem of the calculus of variations for a
functional which is the composition of a certain scalar function with the
delta integral of a vector valued field , i.e., of the form
. Euler-Lagrange
equations, natural boundary conditions for such problems as well as a necessary
optimality condition for isoperimetric problems, on a general time scale, are
given. A number of corollaries are obtained, and several examples illustrating
the new results are discussed in detail.Comment: Submitted 10-May-2009 to Discrete and Continuous Dynamical Systems
(DCDS-B); revised 10-March-2010; accepted 04-July-201
Sensitive Media
The paper engages with what we refer to as “sensitive media,” a concept associated with developments in the overall media environment, our relationships with media devices, and the quality of the media themselves. Those developments point to the increasing emotionality of the media world and its infrastructures. Mapping the trajectories of technological development and impact that the newer media exert on human condition, our analysis touches upon various forms of emergent affect, emotion, and feeling in order to trace the histories and motivations of the sensitization of “the media things” as well as the redefinition of our affective and emotional experiences through technologies that themselves “feel.
Firm-Level and Institutional Determinants of Corporate Capital Structure in Poland
This paper discusses how well major capital structure theories incorporate firm-level and institutional factors into short-term firm financing decisions in a specific context, that of a transition economy. Using a new dataset of non-financial companies quoted on the Warsaw Stock Exchange between 2007-2015, we argue that neither the trade-off nor the pecking order theories fully explain corporate debt policies in Poland. The results of dynamic panel data modelling highlight the importance of the strength of property rights and stock market capitalisation as driving forces behind corporate financing decisions
Firm-level and institutional determinants of corporate capital structure in Poland: New evidence from the Warsaw stock exchange
This paper discusses how well major capital structure theories incorporate firm-level and institutional factors into short-term firm financing decisions in a specific context, that of a transition economy. Using a new dataset of non-financial companies quoted on the Warsaw Stock Exchange between 2007-2015, we argue that neither the trade-off nor the pecking order theories fully explain corporate debt policies in Poland. The results of dynamic panel data modelling highlight the importance of the strength of property rights and stock market capitalisation as driving forces behind corporate financing decisions
Necessary optimality conditions for infinite horizon variational problems on time scales
We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function
On the existence of optimal consensus control for the fractional Cucker–Smale model
This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional
derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular
problems is illustrated by two numerical examples.publishe
Hahn's Symmetric Quantum Variational Calculus
We introduce and develop the Hahn symmetric quantum calculus with
applications to the calculus of variations. Namely, we obtain a necessary
optimality condition of Euler-Lagrange type and a sufficient optimality
condition for variational problems within the context of Hahn's symmetric
calculus. Moreover, we show the effectiveness of Leitmann's direct method when
applied to Hahn's symmetric variational calculus. Illustrative examples are
provided.Comment: This is a preprint of a paper whose final and definite form will
appear in the international journal Numerical Algebra, Control and
Optimization (NACO). Paper accepted for publication 06-Sept-201
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