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Full Description
This book covers a variety of problems, and offers solutions to some, in:
Statistical state and parameter estimation in nonlinear stochastic dynamical system in both the classical and quantum scenarios
Propagation of electromagnetic waves in a plasma as described by the Boltzmann Kinetic Transport Equation
Classical and Quantum General Relativity
It will be of use to Engineering undergraduate students interested in analysing the motion of robots subject to random perturbation, and also to research scientists working in Quantum Filtering.
Contents
1. Master-slave Robots, Optimal Control, Quantum Mechanics and Information 2. Quantum State Estimation Robot System Estimation, Rotation Matrix Estimation, Quantum Filtering 3. Quantum Field Theory, Gravitational and Electromagnetic Waves in Cosmology, Electromagnetics and Fluids, Quantum Gate Design 4. Brownian Motion and Levy Processes, Nonlinear Filtering Plasma Waves, Quantum Stochastics and Parameter Estimation 5. Quantum Gravity, Lie Groups in Robotics, Field of Robots, Quantum Robots, Quantum Transmission Lines, Quantum Optimal Control 6. Random Feedback Control, Group Invariants and Pattern Classification, Quantum Mechanics in Levy Noise, State Observer and Trajectory Tracking 7. Radon Transform for Rotation Estimation, Interaction Picture in Quantum Mechanics, Curvature Tensor in GTR, Gauge Fields 8. Spin-field Interaction, Viscous and Thermal Effects in GTR, Channel Capacity, Filtering and Control for Robots, Discrete Time Nonlinear Stochastic Filter 9. Quantum Filtering in Robotics, Information, Feynman Path Integrals, Levy Noise, Haar Measure on Groups, Gravity and Robots, Canonical Quantum Gravity, Langevin Equation, Antenna Current in a Field Dependent Medium 10. Perturbation Theory in Cosmology, Hamiltonian of Charged Particles in Curved Space-time, Brownian Local Time, Statistics of Quantum Observables,Quantization of Stochastic Dynamical Systems, Quantum Relative Entropy Evolution for Open Systems, Quantum Gates in Levy Noise 11. Wave Equation with Random Boundary, Robots in a Fluid, Cosmology with Stochastic Perturbations, Interaction Between Graviton, Photon and Electron- Positron Fields, Evans-Hudson Flows for Quantization of Stochastic Evolutions 12. Appendix 13. References
