1981 · 253 citations · 30 references
EngineeringMathematicsSystems EngineeringDynamical SystemsStochastic ModelingStochastic ProcessesDiscrete Dynamical SystemsDiscrete-time Stochastic ProcessesMarkov ChainsMarkov ProcessesState EstimationStochastic Systems ModelingAbrupt Change DetectionDiscrete-time State EstimationState Change DetectionStochastic Dynamical SystemsStochastic State EstimationStochastic State-space ModelsTransition Probabilities
The problem of state estimation and system structure detection for discrete stochastic dynamical systems with parameters which may switch among a finite set of values is considered. The switchings are modelled by a Markov chain with known transition probabilities. A brief survey and a unified treatment of the existing suboptimal algorithms are provided. The optimal algorithms require exponentially increasing memory and computations with time. Simulation results comparing the various suboptimal algorithms are presented.
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A survey of design methods for failure detection in dynamic systems
Alan S. Willsky · Automatica · 1976 · 2.1K citations