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Stochastic systems play a fundamental role in automation and information engineering which depends, in a fundamental way, on stochastic calculus. The improper understanding or utilization of stochastic calculus in applications, especially in engineering, can lead to incorrect numerical results and faulty design. The purpose of this volume is to acquaint a wide audience with certain recent advances in stochastic calculus and with their applications to significant problems. The material included herein appears for the first time in book form, accessible to as wide an audience as possible. The topics were selected to cover some of the most important areas for stochastic control, stochastic filtering and stochastic modeling. All of the authors are well-known in the field and have world-wide recognition.