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On computing the worst-case peak gain of linear systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations worst-case `1-gain.
2015/8/12
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
Radially symmetric azimuthally modulated vortex solitons localized gain
2010/12/28
We discover that a spatially localized gain supports stable vortex solitons in media with cu-bic nonlinearity and two-photon absorption. The interplay between nonlinear losses and gain in amplifying r...
Two-dimensional dissipative solitons supported by localized gain
Two-dimensional dissipative solitons localized gain
2010/12/28
We show that the balance between localized gain and nonlinear cubic dissipation in the twodimensional nonlinear Schr¨odinger equation allows for existence of stable two-dimensional localized modes whi...