This book investigates the filtering, control and fault detection problems for several classes of nonlinear systems with randomly occurring incomplete information. It proposes new concepts, including RVNs, ROMDs, ROMTCDs, and ROQEs. The incomplete information under consideration primarily includes missing measurements, time-delays, sensor and actuator saturations, quantization effects and time-varying nonlinearities. The first part of this book focuses on the filtering, control and fault detection problems for several classes of nonlinear stochastic discrete-time systems and in the second part, the theories and techniques are developed to deal with distributed filtering issues in sensor networks and some distributed filters are designed for nonlinear time-varying systems and Markovian jumping nonlinear time-delay systems, respectively. Finally, the application potential is explored with a study of mobile robot navigation problems.

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