scholarly journals Generalized Lagrangian dynamics of physical and non-physical systems

2014 ◽  
Vol 416 ◽  
pp. 1-20 ◽  
Author(s):  
U. Sandler
Keyword(s):  
Lagrangian Dynamics ◽  
Physical Systems ◽  
Generalized Lagrangian

scholarly journals GENERALIZED LAGRANGIAN DYNAMICS AND NOETHERIAN SYMMETRIES

1992 ◽  
Vol 07 (28) ◽  
pp. 7153-7168 ◽  
Author(s):  
D.R. GRIGORE
Keyword(s):  
Particle System ◽  
Lagrangian Formulation ◽  
Analytical Mechanics ◽  
Lagrangian Dynamics ◽  
Identical Particles ◽  
Global Formulation ◽  
Generalized Lagrangian ◽  
Galilean Invariant

We propose a generalization of the usual Lagrangian formulation of dynamics, suggested by the Souriau approach to analytical mechanics. It is a global formulation in which the Lagrangian is defined, in general, only locally. Some examples are given of generalized dynamics in this sense. We analyze in detail the Galilean invariant N-particle system and we also study the case of identical particles.

scholarly journals The Inverse Problem of Linear Lagrangian Dynamics

2018 ◽  
Vol 85 (3) ◽  
Author(s):  
Rubens Goncalves Salsa ◽  
Daniel T. Kawano ◽  
Fai Ma ◽  
George Leitmann
Keyword(s):  
Inverse Problem ◽  
Linear Systems ◽  
Equations Of Motion ◽  
Scalar Function ◽  
Lagrangian Function ◽  
Lagrangian Dynamics ◽  
Lagrange Equations ◽  
Lagrangian Functions ◽  
Generalized Lagrangian ◽  
System Properties

A comprehensive study is reported herein for the evaluation of Lagrangian functions for linear systems possessing symmetric or nonsymmetric coefficient matrices. Contrary to popular beliefs, it is shown that many coupled linear systems do not admit Lagrangian functions. In addition, Lagrangian functions generally cannot be determined by system decoupling unless further restriction such as classical damping is assumed. However, a scalar function that plays the role of a Lagrangian function can be determined for any linear system by decoupling. This generalized Lagrangian function produces the equations of motion and it contains information on system properties, yet it satisfies a modified version of the Euler–Lagrange equations. Subject to this interpretation, a solution to the inverse problem of linear Lagrangian dynamics is provided.

Emerging Cyber-Physical Systems : An Overview

2018 ◽  
pp. 306-316
Author(s):  
Okolie S.O. ◽  
Kuyoro S.O. ◽  
Ohwo O. B
Keyword(s):  
Health Care ◽  
Economic Benefit ◽  
Physical World ◽  
Cyber Physical Systems ◽  
Cyber Physical System ◽  
Economic Sectors ◽  
Strategic Research ◽  
Physical Systems ◽  
Security Issues ◽  
Wide Range

Cyber-Physical Systems (CPS) will revolutionize how humans relate with the physical world around us. Many grand challenges await the economically vital domains of transportation, health-care, manufacturing, agriculture, energy, defence, aerospace and buildings. Exploration of these potentialities around space and time would create applications which would affect societal and economic benefit. This paper looks into the concept of emerging Cyber-Physical system, applications and security issues in sustaining development in various economic sectors; outlining a set of strategic Research and Development opportunities that should be accosted, so as to allow upgraded CPS to attain their potential and provide a wide range of societal advantages in the future.

Security of Cyber-Physical Systems: A Generalized Algorithm for Intrusion Detection and Determining Security Robustness of Cyber Physical Systems using Logical Truth Tables

2013 ◽  
Vol 9 ◽  
Author(s):  
Curtis G. Northcutt
Keyword(s):  
Intrusion Detection ◽  
Cyber Security ◽  
Logical Truth ◽  
Cyber Physical Systems ◽  
Security Model ◽  
Security Measures ◽  
Physical Systems ◽  
Multiple Signal ◽  
Security Attack ◽  
Truth Tables

The recent proliferation of embedded cyber components in modern physical systems [1] has generated a variety of new security risks which threaten not only cyberspace, but our physical environment as well. Whereas earlier security threats resided primarily in cyberspace, the increasing marriage of digital technology with mechanical systems in cyber-physical systems (CPS), suggests the need for more advanced generalized CPS security measures. To address this problem, in this paper we consider the first step toward an improved security model: detecting the security attack. Using logical truth tables, we have developed a generalized algorithm for intrusion detection in CPS for systems which can be defined over discrete set of valued states. Additionally, a robustness algorithm is given which determines the level of security of a discrete-valued CPS against varying combinations of multiple signal alterations. These algorithms, when coupled with encryption keys which disallow multiple signal alteration, provide for a generalized security methodology for both cyber-security and cyber-physical systems.

Integrating experimental data and mathematical models in simulation of physical systems

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1787-1790
Author(s):  
Boris A. Zeldin ◽  
Andrew J. Meade
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Physical Systems
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