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  • controllability
  • hybrid dynamic system
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  • 2020-2022
  • 2015-2019
  • 2000-2004  (3)
  • 1985-1989  (4)
  • 1930-1934
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  • 1
    Digitale Medien
    Digitale Medien
    Controllability of a class of hybrid dynamic systems (III)—Multiple time-delay case (2003)
    Springer
    Applied mathematics and mechanics 24 (2003), S. 1063-1074 
    Details
    ISSN: 1573-2754
    Schlagwort(e): hybrid dynamic system ; switched linear system ; time-delay ; controllability ; controllable set ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented, respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02437638
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  • 2
    Digitale Medien
    Digitale Medien
    Controllability of a class of hybrid dynamic systems (II)—Single time-delay case (2003)
    Springer
    Applied mathematics and mechanics 24 (2003), S. 1051-1062 
    Details
    ISSN: 1573-2754
    Schlagwort(e): hybrid dynamic system ; switched linear system ; time-delay ; controllability ; controllable set ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the second part. The definition and determination of controllability of switched linear systems with single time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the oneperiodic, multiple-periodic controllability of periodic-type systems and controllability of periodic systems are presented, respectively.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02437637
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  • 3
    Digitale Medien
    Digitale Medien
    Controllability of a class of hybrid dynamic systems (I)—Basic properties and preliminary results (2003)
    Springer
    Applied mathematics and mechanics 24 (2003), S. 1041-1050 
    Details
    ISSN: 1573-2754
    Schlagwort(e): hybrid dynamic system ; switched linear system ; time-delay ; controllability ; generalized cyclic invariant subspace ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The controllability for switched linear system with time-delay in controls was first investigated. The whole work contains three parts. This is the first part, including problem formulation and some preliminaries. Firstly, the mathematical model of switched linear systems with time-delay in control functions was presented. Secondly, the concept of column space, cyclic invariant subspace and generalized cyclic invariant subspace were introduced. And some basic properties, such as separation lemma, were presented. Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability. All these definitions and lemmas are necessary research tools for controllability analysis.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02437636
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  • 4
    Digitale Medien
    Digitale Medien
    The importance of chronicity and controllability of stress in the context of stress-illness relationships (1989)
    Springer
    Journal of behavioral medicine 12 (1989), S. 357-372 
    Details
    ISSN: 1573-3521
    Schlagwort(e): illness ; chronic ; stress ; controllability
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Medizin , Psychologie
    Notizen: Abstract The primary purpose of the present study was to increase our understanding of the roles of chronicity and controllability in the measurement of stress within the context of stress-illness relationships. Controllability and chronicity were assessed directly using a modified version of the Everyday Problems Scale. In addition to this scale, measures of depression, psychosomatic symptoms, and social support were administered to 128 women and 100 men. The results indicated that, for both men and women, the number of stressors was the best single predictor of symptoms. However, for women, chronicity and controllability of the stressors accounted for a significant amount of the variance in health outcomes over and above that accounted for by the number of stressors endorsed; for men, the addition of neither chronicity nor controllability consistently increased the strength of the association. While available social support was not found to influence the stress-illness relationships, greater willingness to utilize social support was associated with lower levels of depression.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00844929
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  • 5
    Digitale Medien
    Digitale Medien
    Local invariants of smooth control systems (1989)
    Springer
    Acta applicandae mathematicae 14 (1989), S. 191-237 
    Details
    ISSN: 1572-9036
    Schlagwort(e): Primary ; 49B10 ; 49E15 ; Nonlinear control systems ; geometric/Lie algebraic methods ; chronological calculus ; nilpotent polynomial approximation ; controllability ; attainable sets
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Methods are presented for locally studying smooth nonlinear control systems on the manifoldM. The technique of chronological calculus is intensively exploited. The concept of chronological connection is introduced and is used when obtaining the invariant expressions in the form of Lie bracket polynomials for high-order variations of a nonlinear control system. The theorem on adduction of a family of smooth vector fields to the canonical form proved in Section 4 is then applied to the construction of a nilpotent polynomial approximation for a control system. Finally, the relation between the attainable sets of an original system and an approximating one is established; it implies some conclusions on the local controllability of these systems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01307214
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  • 6
    Digitale Medien
    Digitale Medien
    Equilibrium description of a particle system in a heat bath (1989)
    Springer
    Acta applicandae mathematicae 14 (1989), S. 239-258 
    Details
    ISSN: 1572-9036
    Schlagwort(e): 82A30 ; 82A05 ; 93B05 ; 93E15 ; 60J65 ; Statistical physics ; invariant measure ; controllability ; stochastic stability ; Langevin equation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract AnN particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system ofn oscillators coupled through velocity, with a first-neighbour-only type of interaction.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01307215
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  • 7
    Digitale Medien
    Digitale Medien
    On control problems (1989)
    Springer
    Periodica mathematica Hungarica 20 (1989), S. 13-25 
    Details
    ISSN: 1588-2829
    Schlagwort(e): 1980/85 ; Primary 35C10, 35B37 ; Secondary 93B05, 93C20 ; Vibration of a string ; Fourier's method ; controllability
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01849497
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