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    Control System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time Systems

    Source: Journal of Fluids Engineering:;1960:;volume( 082 ):;issue: 002::page 371
    Author:
    R. E. Kalman
    ,
    J. E. Bertram
    DOI: 10.1115/1.3662604
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The “second method” of Lyapunov is the most general approach currently in the theory of stability of dynamic systems. After a rigorous exposition of the fundamental concepts of this theory, applications are made to (a) stability of linear stationary, linear nonstationary, and nonlinear systems; (b)estimation of transient behavior; (c) control-system optimization; (d) design of relay servos. The discussion is essentially self-contained, with emphasis on the thorough development of the principal ideas and mathematical tools. Only systems governed by differential equations are treated here. Systems governed by difference equations are the subject of a companion paper.
    keyword(s): Control systems , Design , Stability , Differential equations , Dynamic systems , Equipment and tools , Nonlinear systems , Optimization AND Equations ,
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      Control System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/115834
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    contributor authorR. E. Kalman
    contributor authorJ. E. Bertram
    date accessioned2017-05-08T23:48:08Z
    date available2017-05-08T23:48:08Z
    date copyrightJune, 1960
    date issued1960
    identifier issn0098-2202
    identifier otherJFEGA4-27222#371_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/115834
    description abstractThe “second method” of Lyapunov is the most general approach currently in the theory of stability of dynamic systems. After a rigorous exposition of the fundamental concepts of this theory, applications are made to (a) stability of linear stationary, linear nonstationary, and nonlinear systems; (b)estimation of transient behavior; (c) control-system optimization; (d) design of relay servos. The discussion is essentially self-contained, with emphasis on the thorough development of the principal ideas and mathematical tools. Only systems governed by differential equations are treated here. Systems governed by difference equations are the subject of a companion paper.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleControl System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time Systems
    typeJournal Paper
    journal volume82
    journal issue2
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.3662604
    journal fristpage371
    journal lastpage393
    identifier eissn1528-901X
    keywordsControl systems
    keywordsDesign
    keywordsStability
    keywordsDifferential equations
    keywordsDynamic systems
    keywordsEquipment and tools
    keywordsNonlinear systems
    keywordsOptimization AND Equations
    treeJournal of Fluids Engineering:;1960:;volume( 082 ):;issue: 002
    contenttypeFulltext
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