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  • Controllability  (2)
  • damping models  (1)
  • Fisheries
  • Springer  (3)
  • 1990-1994  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic null controllability of nonlinear perturbed systems (1994)
    Springer
    Journal of optimization theory and applications 83 (1994), S. 167-179 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear systems ; perturbations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, sufficient conditions are obtained for the asymptotic null controllability of the system $$\dot x(t) = g(t,x(t)) + B(t,x(t))u(t) + f(t,x(t),u(t)).$$ The results are obtained by using the Leray-Schauder fixed-point theorem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02191767
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  • 2
    Electronic Resource
    Electronic Resource
    Controllability of nonlinear systems to affine manifolds (1990)
    Springer
    Journal of optimization theory and applications 64 (1990), S. 15-27 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; affine manifolds ; Leray-Schauder fixedpoint theorem ; generalized boundary conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Controllability to an affine manifold involves controlling a system to a target defined by the generalized boundary condition Γx=r, where Γ:C n →R n is a bounded linear operator on the continuous functions, as defined for ordinary differential equations by Kartsatos. In this paper, sufficient conditions are obtained for such controllability for linear systems and for a class of nonlinear perturbations of linear systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940019
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  • 3
    Electronic Resource
    Electronic Resource
    Melnikov analysis for a ship with a general roll-damping model (1994)
    Springer
    Nonlinear dynamics 6 (1994), S. 101-124 
    Details
    ISSN: 1573-269X
    Keywords: Melnikov criterion ; Duffing equation ; ship dynamics ; damping models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In the framework of a general roll-damping model, we study the influence of different damping models on the nonlinear roll dynamics of ships through a detailed Melnikov analysis. We introduce the concept of the Melnikov equivalent damping and use phase-plane concepts to obtain simple expressions for what we call the Melnikov damping coefficients. We also study the sensitivity of these coefficients to parameter variations. As an application, we consider the equivalence of the linear-plus-cubic and linear-plus-quadratic damping models, and we derive a condition under which the two models yields the same Melnikov predictions. The free- and forced-oscillation behaviors of the models satisfying this condition are also compared.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00045435
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