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  • 1
    Electronic Resource
    Electronic Resource
    Robust stabilization of uncertain linear dynamical systems with time-varying delay (1994)
    Springer
    Journal of optimization theory and applications 82 (1994), S. 593-606 
    Details
    ISSN: 1573-2878
    Keywords: Robust stabilization ; linear dynamical systems ; time-varying delays ; sufficient conditions ; unstructured and structured uncertainties ; algebraic Riccati equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the problem of the robust stabilization for a class of uncertain linear dynamical systems with time-varying delay is considered. By making use of an algebraic Riccati equation, we derive some sufficient conditions for robust stability of time-varying delay dynamical systems with unstructured or structured uncertainties. In our approach, the only restriction on the delay functionh(t) is the knowledge of its upper boundh −. Some analytical methods are employed to investigate these stability conditions. Since these conditions are independent of the delay, our results are also applicable to systems with perturbed time delay. Finally, a numerical example is given to illustrate the use of the sufficient conditions developed in this paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192220
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    Paper (German National Licenses)
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  • 2
    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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Decentralized Stabilizing State Feedback Controllers for a Class of Large-Scale Systems Including State Delays in the Interconnections (1999)
    Springer
    Journal of optimization theory and applications 100 (1999), S. 59-87 
    Details
    ISSN: 1573-2878
    Keywords: Large-scale interconnected systems ; nonlinear systems ; time-varying delays ; decentralized state feedback controllers ; stabilization ; generalized dynamical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the decentralized stabilization of a class of large-scale nonlinear and linear systems including time-varying delays in the interconnections is considered. By combining the Razumikhin-type theorem with the Lyapunov stability theory, we propose a class of decentralized state feedback controllers which can guarantee always some type of stability of large-scale time-delay systems. In this paper, we assume that the time-varying delays are continuous and bounded nonnegative functions. Furthermore, since the proposed decentralized state feedback controllers are independent of the delays, the results obtained in this paper are applicable to systems without exact knowledge of the delays, i.e., systems with perturbed delays. Finally, a numerical example is given to demonstrate the validity of the results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1021764814535
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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