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A predictive tracking approach and a novel method for visual motion compensation are introduced, which accurately reconstruct and compensate the deformation of the elastic object, even in the case of complete measurement information loss. The core of the methods involves a probabilistic physical model of the object, from which all other mathematical models are systematically derived. Due to flexible adaptation of the models, the balance between their complexity and their accuracy is achieved.

stochastic estimation --- physics-based modeling --- robotics --- distributed parameter systems --- beating heart surgery --- video processing --- probabilistic models

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Xunjing Li (1935-2003) was a pioneer in control theory in China. He was known in the Chinese community of applied mathematics, and in the global community of optimal control theory of distributed parameter systems. He has made important contributions to the optimal control theory of distributed parameter systems, in particular regarding the first-order necessary conditions (Pontryagin-type maximum principle) for optimal control of nonlinear infinite-dimensional systems. He directed the Seminar of Control Theory at Fudan towards stochastic control theory in 1980s, and mathematical finance in 1

Stochastic control theory --- Distributed parameter systems --- Stochastic differential equations --- Differential equations --- Fokker-Planck equation --- Control theory --- Stochastic processes

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Computational methods for optimizing distributed systems

Boundary value problems - Numerical solutions. --- Differential equations, Parabolic - Numerical solutions. --- Differential equations, Parabolic --Numerical solutions. Boundary value problems --Numerical solutions. Distributed parameter systems. --- Distributed parameter systems. --- Differential equations, Parabolic --- Boundary value problems --- Distributed parameter systems --- Operations Research --- Calculus --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Numerical solutions --- Numerical solutions. --- Systems, Distributed parameter --- Control theory --- Engineering systems --- System analysis --- Numerical analysis

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This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others. Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.

Adaptive control systems. --- Differential equations, Parabolic. --- Distributed parameter systems. --- Self-adaptive control systems --- Systems, Distributed parameter --- Parabolic differential equations --- Parabolic partial differential equations --- Artificial intelligence --- Feedback control systems --- Self-organizing systems --- Control theory --- Engineering systems --- System analysis --- Differential equations, Partial

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The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.

Distributed parameter systems. --- Automatic control. --- System theory. --- Systems, Distributed parameter --- Control theory --- Engineering systems --- System analysis --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy