Mathematics and Statistics  Faculty Research
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Solvability of a multipoint boundary value problem of Neumann type
(1999)Let f:[0,1]×?2?? be a function satisfying Carathéodory's conditions and e(t)?L1[0,1]. Let ?i?(0,1),ai??,i=1,2,…,m?2,0<?1<?2<?<?m?2<1 be given. This paper is concerned with the problem of existence of a solution for the ... 
Impulse Control in KalmanLike Filtering Problems
(1998)This paper develops the impulse control approach to the observation process in Kalmanlike filtering problems, which is based on impulsive modeling of the transition matrix in an observation equation. The impulse control ... 
Existence theorems for a second order mpoint boundary value problem at resonance
(1995)Let f:[0,1]×R2?R be function satisfying Caratheodory's conditions and e(t)?L1[0,1]. Let ??(0,1), ?i?(0,1), ai?0, i=1,2,…,m?2, with ?i=1m?2ai=1, 0<?1<?2<…<?m?2<1 be given. This paper is concerned with the problem of existence ... 
Emergency Control of Unstable Behavior of Nonlinear Systems Induced by Fault
(1998)This paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its ...