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This book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. This second edition is a thorough revision, although the main features and structure remain unchanged.
Focusing on switching diffusion processes that involve both continuous dynamics and discrete events, this comprehensive study moves from basic properties such as Feller and strong Feller to the numerical solutions of switching diffusions and stability.
Thus, we have to deal with situations in which the systems are only nearly decomposable in the sense that there are weak links among the irreducible subsystems, which dictate the oc- sional regime changes of the system.
Using a singular perturbation approach, this book offers a systematic treatment of systems that naturally arise in queuing theory, control and optimisation and manufacturing. Provides a single source for concepts previously scattered throughout the literature.
This book presents recently developed methodologies that utilize quantized information in system identification and explores their potential in extending control capabilities for systems with limited sensor information or networked systems.
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