IEEE Transactions on Automatic Control, Vol.43, No.10, 1424-1429, 1998
New finite-dimensional risk-sensitive filters : Small noise limits
This paper is concerned with continuous-time nonlinear risk-sensitive filters. It is shown that for large classes of nonlinearities entering both the dynamics and measurements, these filters are finite-dimensional generalizations of the Benes filters. Specific examples are discussed. The small noise limiting analog is discussed using change of probability measures.
Keywords:INTEGRAL PERFORMANCE INDEX;STOCHASTIC-SYSTEMS;MAXIMUMPRINCIPLE;OUTPUT-FEEDBACK;DYNAMIC-GAMES;STATE