Abstract:
The applied theory of analytical synthesis of linear conditionally optimal filters and extrapolators in linear differential stochastic systems with white multiplicative non-Gaussian noises is presented. Efficient criteria of unique asymptotic stability of conditionally optimal filters and extrapolators are formulated in terms of special positive definite integral forms and unique boundedness of controllability and observability matrices. White noises are assumed to be derivatives of additive and multiplicative non-Gausisan arbitrary stochastic processes with independent increments. An illustrative example is given. Some generalizations are discussed.
Keywords:accuracy and unique asymptotic stability of filters; differential stochastic systems; linear conditionally optimal filters and extrapolators; multiplicative white noises; Riccati equation.