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We study in detail a recently proposed simple discrete model for evolution on smooth landscapes. An asymptotic solution of this model for long times is constructed. We find that the dynamics of the population are governed by correlation…

Condensed Matter · Physics 2009-10-28 David A. Kessler , Herbert Levine , Douglas Ridgway , Lev Tsimring

We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body,…

Optimization and Control · Mathematics 2009-09-29 Mario Sigalotti , Jean-Claude Vivalda

We generalize a Maximum Principle for optimal control problems involving sweeping systems previously derived in ``Necessary conditions for optimal control problems with sweeping systems and end point constraints'', by de Pinho, Ferreira and…

Optimization and Control · Mathematics 2023-02-01 Maria do Rosario de Pinho , Maria Margarida A. Ferreira , Georgi Smirnov

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

In this paper, we discuss the approximate controllability for control systems governed by stochastic evolution hemivariational inequalities in Hilbert spaces. The interest in studying this type of equation comes from its application in some…

Optimization and Control · Mathematics 2025-04-22 Bholanath Kumbhakar , Deeksha , Dwijendra Narain Pandey

One of the problems in applying Genetic Algorithm is that there is some situation where the evolutionary process converges too fast to a solution which causes it to be trapped in local optima. To overcome this problem, a proper diversity in…

Neural and Evolutionary Computing · Computer Science 2011-09-02 Chaiwat Jassadapakorn , Prabhas Chongstitvatana

Controlling an evolving population is an important task in modern molecular genetics, including directed evolution for improving the activity of molecules and enzymes, in breeding experiments in animals and in plants, and in devising public…

Populations and Evolution · Quantitative Biology 2021-03-10 Armita Nourmohammad , Ceyhun Eksin

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

Quantum process tomography provides a means of measuring the evolution operator for a system at a fixed measurement time $t$. The problem of using that tomographic snapshot to predict the evolution operator at other times is generally…

Quantum Physics · Physics 2013-12-05 Jason M. Dominy , Lorenzo Campos Venuti , Alireza Shabani , Daniel A. Lidar

We study several aspects of the dynamic programming approach to optimal control of abstract evolution equations, including a class of semilinear partial differential equations. We introduce and prove a verification theorem which provides a…

Optimization and Control · Mathematics 2007-06-12 G. Fabbri , F. Gozzi , A. Swiech

This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter additive perturbations. This class of problems, which…

Optimization and Control · Mathematics 2018-08-14 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen

This paper primarily focuses on the practical applications of optimal control theory for perturbed sweeping processes within the realm of robotics dynamics. By describing these models as controlled sweeping processes with pointwise control…

Optimization and Control · Mathematics 2024-05-16 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Norma Ortiz-Robinson

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

In this paper, a sample-based procedure for obtaining simple and computable approximations of chance-constrained sets is proposed. The procedure allows to control the complexity of the approximating set, by defining families of…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Martina Mammarella , Victor Mirasierra , Matthias Lorenzen , Teodoro Alamo , Fabrizio Dabbene

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

In recent years, many design automation methods have been developed to routinely create approximate implementations of circuits and programs that show excellent trade-offs between the quality of output and required resources. This paper…

Neural and Evolutionary Computing · Computer Science 2021-08-17 Lukas Sekanina

The numerical method developed in [30] for optimal control problems involving sweeping processes with smooth sweeping set C is generalized to the case where C is nonsmooth, namely, C is the intersection of a finite number of sublevel sets…

Optimization and Control · Mathematics 2024-06-21 Chadi Nour , Vera Zeidan

In this paper, we consider a non-autonomous nonlinear evolution equation in separable, reflexive Banach spaces. First, we consider a linear problem and establish the approximate controllability results by finding a feedback control with the…

Optimization and Control · Mathematics 2020-04-24 K. Ravikumar , M. T. Mohan , A. Anguraj

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Inspired in our work on the controllability for the semilinear with memory \cite{Carrasco-Guevara-Leiva:2017aa, Guevara-Leiva:2016aa, Guevara-Leiva:2017aa}, we present the general cases for the approximate controllability of impulsive…

Optimization and Control · Mathematics 2020-07-14 Cristi D. Guevara , Hugo Leiva