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In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on...

The control and estimation of continuous-time/continuous-space nonlinear systems continues to be a challenging problem, and this is one of the c- tral foci of this book. A common approach is to use dynamic programming; this typically leads to solution of the control or estimation problem via the solution of a corresponding Hamilton Jacobi (HJ) partial di?erential eq- tion (PDE). This approach has the advantage of producing the optimal control. (The term optimal has a somewhat more complex meaning in the class of H problems. However, we will freely use the term for such controllers ?...

In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi- ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza- tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on...