3 papers
math.OC2008
State estimation for dynamical system described by linear equation with uncertainty
Serhiy Zhuk
In this paper we investigate a problem of state estimation for the dynamical system described by the linear operator equation with unknown parameters in Hilbert space. We present e…
math.CA2007
On Some Properties of Linear Mapping Induced by Linear Descriptor Differential Equation
Serhiy Zhuk
In this paper we introduce linear mapping D from WnF\subset Ln into Lm\times Rm, induced by linear differential equation d/dt Fx(t)-C(t)x(t)=f(t),Fx(t_0)=f_0. We prove that D is cl…
math.OC2007
Minimax State Observation in Linear One Dimensional 2-Point Boundary Value Problems
Serhiy Zhuk, Serhiy Demidenko, Alexander Nakonechniy
In this paper we study observation problem for linear 2-point BVP Dx=Bf assuming that information about system input f and random noise ηin system state observation model y=Hx+η$ i…