Closure to “Discussion of ‘An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems’” (1966, ASME J. Appl. Mech., 33, pp. 712–713)

J. A. Walker; L. G. Clark

doi:10.1115/1.3625165

Closure to “Discussion of ‘An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems’” (1966, ASME J. Appl. Mech., 33, pp. 712–713)

Journal of Applied Mechanics ◽

10.1115/1.3625165 ◽

1966 ◽

Vol 33 (3) ◽

pp. 713-714

Author(s):

J. A. Walker ◽

L. G. Clark

Keyword(s):

Integral Method ◽

Autonomous Systems ◽

Liapunov Function ◽

Function Generation

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An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems

Journal of Applied Mechanics ◽

10.1115/1.3627260 ◽

1965 ◽

Vol 32 (3) ◽

pp. 569-575 ◽

Cited By ~ 8

Author(s):

J. A. Walker ◽

L. G. Clark

Keyword(s):

Asymptotic Stability ◽

Integral Method ◽

Autonomous Systems ◽

Liapunov Function ◽

Higher Order ◽

Phase Variable ◽

Variable Form ◽

Function Generation ◽

Liapunov Functions

A method is developed for generating Liapunov functions with which to determine the domain of asymptotic stability for nonlinear autonomous systems of any order, so long as these systems may be represented in phase variable form. The method is illustrated by several examples of higher order.

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Discussion: “An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems” (Walker, J. A., and Clark, L. G., 1965, ASME J. Appl. Mech., 32, pp. 569–575)

Journal of Applied Mechanics ◽

10.1115/1.3625164 ◽

1966 ◽

Vol 33 (3) ◽

pp. 712-713

Author(s):

Stein Weissenberger

Keyword(s):

Integral Method ◽

Autonomous Systems ◽

Liapunov Function ◽

Function Generation

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Liapunov function generation for a class of time-varying systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1968.1098865 ◽

1968 ◽

Vol 13 (2) ◽

pp. 205-206 ◽

Cited By ~ 2

Author(s):

B. Anderson ◽

J. Moore

Keyword(s):

Liapunov Function ◽

Time Varying ◽

Function Generation ◽

Time Varying Systems

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Physical Problems Solved by the Phase-Integral Method

10.1017/cbo9780511535086 ◽

2002 ◽

Cited By ~ 49

Author(s):

Nanny Fröman ◽

Per Olof Fröman

Keyword(s):

Integral Method ◽

Physical Problems ◽

Phase Integral

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Systems Engineering for Ethical Autonomous Systems

10.1049/sbra517e ◽

2019 ◽

Cited By ~ 1

Author(s):

Tony Gillespie

Keyword(s):

Systems Engineering ◽

Autonomous Systems

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THE CONCEPT OF AUTONOMOUS SYSTEMS IN INDUSTRY 4.0

Advanced Logistic Systems - Theory and Practice ◽

10.32971/als.2019.006 ◽

2019 ◽

Vol 12 (1) ◽

pp. 77-87

Author(s):

György Kovács ◽

Rabab Benotsmane ◽

László Dudás

Keyword(s):

Industry 4.0 ◽

Intelligent Systems ◽

Autonomous Systems ◽

Essential Element ◽

Industrial Sector ◽

Life Cycles ◽

Multi Agent Systems ◽

New Paradigm ◽

Intelligent Machines ◽

Digital Network

Recent tendencies – such as the life-cycles of products are shorter while consumers require more complex and more unique final products – poses many challenges to the production. The industrial sector is going through a paradigm shift. The traditional centrally controlled production processes will be replaced by decentralized control, which is built on the self-regulating ability of intelligent machines, products and workpieces that communicate with each other continuously. This new paradigm known as Industry 4.0. This conception is the introduction of digital network-linked intelligent systems, in which machines and products will communicate to one another in order to establish smart factories in which self-regulating production will be established. In this article, at first the essence, main goals and basic elements of Industry 4.0 conception is described. After it the autonomous systems are introduced which are based on multi agent systems. These systems include the collaborating robots via artificial intelligence which is an essential element of Industry 4.0.

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