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  • Electronic Resource  (6)
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  • 2000-2004  (3)
  • 1995-1999  (3)
  • 1930-1934
  • 2003  (3)
  • 1996  (3)
  • 93B05
  • 1
    Electronic Resource
    Electronic Resource
    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
    Keywords: hybrid dynamic system ; switched linear system ; time-delay ; controllability ; controllable set ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02437638
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    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
    Keywords: hybrid dynamic system ; switched linear system ; time-delay ; controllability ; controllable set ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02437637
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    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
    Keywords: hybrid dynamic system ; switched linear system ; time-delay ; controllability ; generalized cyclic invariant subspace ; switching sequence ; switching path ; TP13 ; TP273 ; O317 ; 93B05 ; 93B27 ; 93C99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02437636
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Controllability near Takens-Bogdanov points (1996)
    Springer
    Journal of dynamical and control systems 2 (1996), S. 583-598 
    Details
    ISSN: 1573-8698
    Keywords: 93B05 ; 58F14 ; Controllability ; control set ; Takens-Bogdanov points ; bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We study controllability properties of the control-affine system whose uncontrolled part coincides with a universal unfolding of a Takens-Bogdanov singularity. The main result is that the qualitative behavior of the control system can be different from the behavior of all systems with constant control functions in the following sense. There are parameter regions and control ranges such that for constant controls there is no homoclinic orbit, while there exists a “controlled homoclinic” orbit corresponding to a nonconstant control function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02254704
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Controllability of hypersurface and solvable invariant systems (1996)
    Springer
    Journal of dynamical and control systems 2 (1996), S. 55-67 
    Details
    ISSN: 1573-8698
    Keywords: 93B05 ; 17B20 ; Controllability ; invariant systems ; Lie groups
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract This paper deals with affine invariant control systems on Lie groups. Controllability conditions for hypersurface systems and for systems on solvable simply connected Lie groups are obtained. A lower bound of the number of controlled vector fields necessary to achieve controllability on simply connected Lie groups is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02259622
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Exact controllability for semilinear parabolic equations with Neumann boundary conditions (1996)
    Springer
    Journal of dynamical and control systems 2 (1996), S. 449-483 
    Details
    ISSN: 1573-8698
    Keywords: 35K10 ; 35K55 ; 35K60 ; 93B05 ; 93C10 ; 93C20 ; Boundary control ; nonlinear ; semilinear ; parabolic equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract This paper studies the problem of exact boundary controllability of second-order semilinear parabolic equations when the control is under Neumann's boundary conditions. For a nonlinear term with a sublinear growth we prove the global null-controllability and for the superlinear growth case we prove the local exact controllability of the equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02254698
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    Paper (German National Licenses)
    Fulltext
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