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  • 1
    Electronic Resource
    Electronic Resource
    Large-scale dynamical interconnections of stochastic singular systems (1991)
    Springer
    Circuits, systems and signal processing 10 (1991), S. 115-133 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Large-scale dynamical interconnections of systems may not be well defined in the sense of having unique solutions for all inputs. We provide tests that show when the overall system is well defined. In a stochastic interconnected system, there is the additional problem that the composite system may be “stochastically ill defined” in the sense that derivatives of white noise may appear. We provide a test that shows when the interconnected systems is stochastically well defined. It is also demonstrated how to obtain a state-variable representation of the interconnected system, when one exists, on a subspace of the original descriptor-variable space. All of our results are based on “structure algorithms” for singular systems which use stable numerical operations on the original system and interconnection matrices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01183244
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A geometric characterization of the reachable and the controllable subspaces of descriptor systems (1986)
    Springer
    Circuits, systems and signal processing 5 (1986), S. 37-48 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The concepts of {A,E,R(B)} and restricted {E,A,R(B)} invariance are introduced. The reachable subspace of a descriptor system is shown to be the supremal {A,E,R(B)}invariant subspace contained in the least restricted {E,A,R(B)} subspace of Rn. Algorithms to compute the reachable subspace of a descriptor system $$E\dot x = Ax + Bu$$ in terms ofE,A andB are given. A new proof of the feedback invariance of the reachable subspace is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01600185
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    Paper (German National Licenses)
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