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  • controllability
  • hybrid dynamic system
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  • 2020-2022
  • 2000-2004  (3)
  • 1985-1989  (4)
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  • 1905-1909
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  • 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
    Dual-lattice theorems in the geometric approach (1986)
    Springer
    Journal of optimization theory and applications 48 (1986), S. 229-244 
    Details
    ISSN: 1573-2878
    Keywords: Controlled invariants ; (A, ℬ)-invariants ; conditioned invariants ; (ℒ,A)-invariants ; geometric approach ; controllability ; observability ; linear system theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A one-to-one correspondence is shown to exist between the lattice of all self-bounded (A, ℬ)-controlled invariants contained in ℒ and the lattice of all self-hidden (A, ℒ)-conditioned invariants containing ℬ. This correspondence, stated herein as the main dual-lattice theorem, allows a straightforward derivation of the universal bounds of the lattices, particularly when additional constraints are imposed, such as to contain a given subspace ℘ for the elements of the former lattice and to be contained in a given subspace ℒ for the elements of the latter. Then, two further minor dual-lattice theorems, dual to each other, are presented, and some connections and applications of the new theory to standard control and observation problems are briefly discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940671
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Complete controllability (1986)
    Springer
    Journal of optimization theory and applications 50 (1986), S. 69-82 
    Details
    ISSN: 1573-2878
    Keywords: Linear autonomous systems ; constraints ; controllability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A linear autonomous control system in ℝ n is said to be completely controllable iff there existsT〉0 such that eachx ∈ ℝ n can be steered to anyy ∈ ℝ n in timeT. This paper presents a geometric characterization of this property in the case in which there are constraints on the values which the control maps can assume. A necessary and sufficient condition to get instant controllability (i.e., complete controllability for anyT〉0) is also derived. This condition generalizes the well-known Kalman condition to the constrained case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938478
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    On the intersection of controllable and reachable sets (1986)
    Springer
    Journal of optimization theory and applications 50 (1986), S. 267-278 
    Details
    ISSN: 1573-2878
    Keywords: Reachability ; controllability ; invariant sets
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we prove that the intersection of the controllable set to and the reachable set from a point target is connected, and that points within the intersection have the same controllable and reachable sets. We further demonstrate that the intersection is positive invariant whenever the intersection is not a single point. We then introduce the concept of a maneuverable set which allows us to generalize the results by replacing the point target with a maneuverable set. Use of the theory is illustrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939273
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    On the null-controllability of linear discrete-time systems with restrained controls (1986)
    Springer
    Journal of optimization theory and applications 50 (1986), S. 313-329 
    Details
    ISSN: 1573-2878
    Keywords: Discrete-time systems ; controllability ; eigenvectors ; cones
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper is devoted to the null-controllability problem for linear, autonomous, discrete-time systems with restrained controls, i.e., systems described by the equationx k+1=Ax k+u k,u k∈ Г, where 0 ∈ Г, but is not necessarily an interior point of Г. Some criteria for local and global null controllability are given with proofs. These results can be considered as extensions to discrete-time systems of the known corresponding criteria for linear, continuous-time systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939276
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    Paper (German National Licenses)
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