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Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling

G. A. Koch-Noble (2011)

Mathematical Modelling of Natural Phenomena

Pharmacokinetics is an excellent way to introduce biomathematical modeling at the sophomore level. Students have the opportunity to develop a mathematical model of a biological phenomenon to which they all can relate. Exploring pharmacokinetics takes students through the necessary stages of mathematical modeling: determining the goals of the model, deciphering between the biological aspects to include in the model, defining the assumptions of the model, and finally, building, analyzing, using, and...

Dual-terminal event triggered control for cyber-physical systems under false data injection attacks

Zhiwen Wang, Xiangnan Xu, Hongtao Sun, Long Li (2020)

Kybernetika

This paper deals with the problem of security-based dynamic output feedback control of cyber-physical systems (CPSs) with the dual-terminal event triggered mechanisms (DT-ETM) under false data injection (FDI) attacks. Considering the limited attack energy, FDI attacks taking place in transmission channels are modeled as extra bounded disturbances for the resulting closed-loop system, thus enabling H performance analysis with a suitable ϱ attenuation level. Then two buffers at the controller and...

DUCS copulas

Radko Mesiar, Monika Pekárová (2010)

Kybernetika

Based on a recent representation of copulas invariant under univariate conditioning, a new class of copulas linked to a distortion of the identity function is introduced and studied.

Dynamic analysis of an impulsive differential equation with time-varying delays

Ying Li, Yuanfu Shao (2014)

Applications of Mathematics

An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.

Dynamic approach to optimum synthesis of a four-bar mechanism using a swarm intelligence algorithm

Edgar A. Portilla-Flores, Maria B. Calva-Yáñez, Miguel G. Villarreal-Cervantes, Paola A. Niño Suárez, Gabriel Sepúlveda-Cervantes (2014)

Kybernetika

This paper presents a dynamic approach to the synthesis of a crank-rocker four-bar mechanism, that is obtained by an optimization problem and its solution using the swarm intelligence algorithm called Modified-Artificial Bee Colony (M-ABC). The proposed dynamic approach states a mono-objective dynamic optimization problem (MODOP), in order to obtain a set of optimal parameters of the system. In this MODOP, the kinematic and dynamic models of the whole system are consider as well as a set of constraints...

Dynamic coverage control design of multi-agent systems under ellipse sensing regions

Longbiao Ma, Fenghua He, Long Wang, Denggao Ji, Yu Yao (2018)

Kybernetika

This paper studies the dynamic coverage control problem for cooperative region reconnaissance where a group of agents are required to reconnoitre a given region. The main challenge of this problem is that the sensing region of each agent is an ellipse. This modeling results in asymmetric(directed) interactions among agents. First, the region reconnaissance is formulated as a coverage problem, where each point in the given region should be surveyed until a preset level is achieved. Then, a coverage...

Dynamic credibility with outliers and missing observations

Tomáš Cipra (1996)

Applications of Mathematics

In actuarial practice the credibility models must face the problem of outliers and missing observations. If using the M -estimation principle from robust statistics in combination with Kalman filtering one obtains the solution of this problem that is acceptable in the numerical framework of the practical actuarial credibility. The credibility models are classified as static and dynamic in this paper and the shrinkage is used for the final ratemaking.

Dynamic external force feedback loop control of a robot manipulator using a neural compensator - Application to the trajectory following in an unknown environment

Farid Ferguene, Redouane Toumi (2009)

International Journal of Applied Mathematics and Computer Science

Force/position control strategies provide an effective framework to deal with tasks involving interaction with the environment. One of these strategies proposed in the literature is external force feedback loop control. It fully employs the available sensor measurements by operating the control action in a full dimensional space without using selection matrices. The performance of this control strategy is affected by uncertainties in both the robot dynamic model and environment stiffness. The purpose...

Dynamic programming for an investment/consumption problem in illiquid markets with regime-switching

Paul Gassiat, Fausto Gozzi, Huyên Pham (2015)

Banach Center Publications

We consider an illiquid financial market with different regimes modeled by a continuous time finite-state Markov chain. The investor can trade a stock only at the discrete arrival times of a Cox process with intensity depending on the market regime. Moreover, the risky asset price is subject to liquidity shocks, which change its rate of return and volatility, and induce jumps on its dynamics. In this setting, we study the problem of an economic agent optimizing her expected utility from consumption...

Dynamic Programming for the stochastic Navier-Stokes equations

Giuseppe da Prato, Arnaud Debussche (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We solve an optimal cost problem for a stochastic Navier-Stokes equation in space dimension 2 by proving existence and uniqueness of a smooth solution of the corresponding Hamilton-Jacobi-Bellman equation.

Dynamic programming principle for stochastic recursive optimal control problem with delayed systems

Li Chen, Zhen Wu (2012)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we study one kind of stochastic recursive optimal control problem for the systems described by stochastic differential equations with delay (SDDE). In our framework, not only the dynamics of the systems but also the recursive utility depend on the past path segment of the state process in a general form. We give the dynamic programming principle for this kind of optimal control problems and show that the value function is the viscosity solution of the corresponding infinite dimensional...

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