Root
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Conference Proceedings
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3rd INTERNATIONAL CONFERENCE "PHYSICS AND CONTROL" (PhysCon 2007)
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Realization theory methods for the construction of positively-invariant sets
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Realization theory for linear input-output ope\-rators and

frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in some Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in some weighted Sobolev space, which has the same stability properties as the Volterra equation.

frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in some Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in some weighted Sobolev space, which has the same stability properties as the Volterra equation.