Editorial
Optimal Control: Theory and Application to Science,
Engineering, and Social Sciences
Davide La Torre,
1,2
Herb Kunze,
3
Manuel Ruiz-Galan,
4
Tufail Malik,
1
and Simone Marsiglio
5
1
Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, UAE
2
Department of Economics, Management, and Quantitative Methods, University of Milan, 20122 Milan, Italy
3
Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada N1G 2W1
4
Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
5
School of Accounting, Economics and Finance, University of Wollongong, Wollongong, NSW 2522, Australia
Correspondence should be addressed to Davide La Torre; davide.latorre@kustar.ac.ae
Received 12 March 2015; Accepted 12 March 2015
Copyright © 2015 Davide La Torre et al. his is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An optimal control problem entails the identiication of a fea-
sible scheme, policy, program, strategy, or campaign, in order
to achieve the optimal possible outcome of a system. More
formally, an optimal control problem means endogenously
controlling a parameter in a mathematical model to produce
an optimal output, using some optimization technique. he
problem comprises an objective (or cost) functional, which
is a function of the state and control variables, and a set
of constraints. he problem seeks to optimize the objective
function subject to the constraints construed by the model
describing the evolution of the underlying system. he two
popular solution techniques of an optimal control problem
are Pontryagin’s maximum principle and the Hamilton-
Jacobi-Bellman equation [1].
Optimal control has become a highly established research
front in recent years with numerous contributions to the
theory, in both deterministic and stochastic contexts. Its
application to diverse ields such as biology, economics,
ecology, engineering, inance, management, and medicine
cannot be overlooked (see, e.g., [1–12]). he associated
mathematical models are formulated, for example, as systems
of ordinary, partial, or stochastic diferential equations or
discrete dynamical systems, for both scalar and multicriteria
decision-making contexts.
his special issue is aimed at creating a multidisciplinary
forum of discussion on recent advances in theory as well as
applications. In response to the call for papers, 58 papers
were received. Ater a rigorous refereeing process, 7 papers
were accepted for publication in this special issue. he articles
included in the issue cover novel contributions to optimal
control theory as well as a broad spectrum of applications
of optimal control from inance to resource management to
engineering to marketing.
he paper by Z. Lu and X. Huang investigates discretiza-
tion of general linear hyperbolic optimal control problems
and derives a priori error estimates for mixed inite element
approximation of such optimal control problems.
he paper by R. Wu et al. proposes, analyzes, and solves
an optimal control exploiting model of renewable resources
based on efective utilization rate and illustrates its solution
numerically.
he paper by N. Zulkarnain et al. compares the perfor-
mance of an active antiroll bar system in an automobile using
two control models, namely, the linear quadratic Gaussian
and the composite nonlinear feedback controller.
here are three works focusing on applications in eco-
nomics and inance. he paper by J. Ma et al. studies the
dynamics of an oligopoly model considering the output
of an upstream monopoly and prices of two downstream
oligopolies; it is shown that the long-run average proits of the
three irms are optimal in the region of stability of the Nash
equilibrium point. he paper by D.-L. Sheng et al. uses the
Hindawi Publishing Corporation
Abstract and Applied Analysis
Volume 2015, Article ID 890527, 2 pages
http://dx.doi.org/10.1155/2015/890527