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  • 1
    Electronic Resource
    Electronic Resource
    Sufficient conditions for robust stability of large-scale dynamical systems including delayed states and parameter perturbations in interconnections (1995)
    Springer
    Journal of optimization theory and applications 85 (1995), S. 727-739 
    Details
    ISSN: 1573-2878
    Keywords: Large-scale dynamical systems ; time-varying delays ; decentralized state feedback controllers ; uncertain parameters ; robustness ; sufficient conditions ; algebraic Riccati equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the robust stability of large-scale dynamical systems including delayed states and parameter perturbations in interconnections is considered. By using algebraic Riccati equations and some analytical methods, some sufficient conditions on linear decentralized state feedback controllers are derived so that the systems remain stable in the presence of delayed states and parameter perturbations. Such conditions give some bounds on the perturbations of interconnections with delayed states and uncertain parameters, and result in a quantitative measures of robustness for large-scale dynamical systems including delayed states and uncertain parameters in interconnections. The results obtained in this paper are applicable not only to large-scale systems with multiple time-varying delays, but also to large-scale systems without exact knowledge of the delays, i.e., large-scale systems with uncertain delays.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02193064
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Decentralized robust control for a class of uncertain large-scale interconnected nonlinear dynamical systems (1996)
    Springer
    Journal of optimization theory and applications 91 (1996), S. 235-256 
    Details
    ISSN: 1573-2878
    Keywords: Large-scale interconnected systems ; decentralized control ; robust control ; uncertainties ; state feedback ; sufficient conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the decentralized robust control for a class of large-scale interconnected nonlinear dynamical systems with input interconnection and external interconnection perturbations is considered. Based on the stabilizability of each nominal isolated subsystem (i.e., the isolated subsystem in the absence of interconnection perturbations), a class of decentralized local state feedback controllers is proposed, and some sufficient conditions are derived by making use of the Lyapunov stability criterion such that uncertain large-scale interconnected systems can be stabilized asymptotically by these decentralized state feedback controllers. For large-scale systems with only input interconnection perturbations, such decentralized controllers become a class of decentralized stabilizing state feedback controllers. That is, the decentralized stability of such large-scale systems can be guaranteed always by using the decentralized state feedback controllers proposed in the paper. Finally, a numerical example is given to demonstrate the validity of the results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192291
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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