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  • 1
    Electronic Resource
    Electronic Resource
    Robust stability of a class of neural networks with time delays (1997)
    Springer
    Journal of dynamics and differential equations 9 (1997), S. 67-91 
    Details
    ISSN: 1572-9222
    Keywords: Hopfield neural networks ; time delays ; robust stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A stability analysis of the equilibrium position for a given class of Hopfield neural networks with time delays is presented. The robustness of the equilibrium stability with respect to variations in the time delays, system parameters, and interconnection matrix is analyzed. Three approaches are presented which account in various ways for stability of the equilibrium with respect to these perturbations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02219053
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  • 2
    Electronic Resource
    Electronic Resource
    Robust Stability of Multivariate Polynomials. Part 1: Small Coefficient Perturbations (1999)
    Springer
    Multidimensional systems and signal processing 10 (1999), S. 7-20 
    Details
    ISSN: 1573-0824
    Keywords: multivariate polynomials ; stability ; robust stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract This paper presents a detailed analysis of some classes of stable multivariate polynomials. The main aim of the analysis is to give conditions under which polynomials preserve stability when they are subjected to small coefficient variations. The maximal class of such polynomials is introduced. Some basic properties of polynomials from this class are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008456918178
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  • 3
    Electronic Resource
    Electronic Resource
    Robust Stability of Multivariate Polynomials, Part 3: Frequency Domain Approach (2000)
    Springer
    Multidimensional systems and signal processing 11 (2000), S. 213-231 
    Details
    ISSN: 1573-0824
    Keywords: multivariate polynomials ; robust stability ; zero exclusion principle ; stability radius
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A new formulation of thezero exclusion principle is presented and it is applied to thestudy of robust stability of multivariate polynomials. It hasbeen proven that the stability radius of a stable polynomialcoincides with its strict sense stability radius. Similar resultsare presented for the case of structured stability radius.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008434513790
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  • 4
    Electronic Resource
    Electronic Resource
    Stability of polynomials with conic uncertainty (1995)
    Springer
    Mathematics of control, signals, and systems 8 (1995), S. 97-117 
    Details
    ISSN: 1435-568X
    Keywords: Hurwitz stability ; Robust stability ; Interval polynomial ; Value set ; Convex cone
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology
    Notes: Abstract In this paper we describe a conic approach to the stability theory of uncertain polynomials. We present necessary and sufficient conditions for a conic setp 0+K of polynomials to be Hurwitz stable (K is a convex cone of polynomials of degree ≤n and degp 0=n). As analytical tools we derive an edge theorem and Rantzer-type conditions for marginal stability (semistability). The results are applied to prove an extremal-ray result for conic sets whose cone of directions is given by an interval polynomial.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01210203
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