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Algebraic Geometry For Robotics And Control Theory (Hardcover)
Loot Price: R4,502
Discovery Miles 45 020
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Algebraic Geometry For Robotics And Control Theory (Hardcover)
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Total price: R4,522
Discovery Miles: 45 220
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The development of inexpensive and fast computers, coupled with the
discovery of efficient algorithms for dealing with polynomial
equations, has enabled exciting new applications of algebraic
geometry and commutative algebra. Algebraic Geometry for Robotics
and Control Theory shows how tools borrowed from these two fields
can be efficiently employed to solve relevant problem arising in
robotics and control theory.After a brief introduction to various
algebraic objects and techniques, the book first covers a wide
variety of topics concerning control theory, robotics, and their
applications. Specifically this book shows how these computational
and theoretical methods can be coupled with classical control
techniques to: solve the inverse kinematics of robotic arms; design
observers for nonlinear systems; solve systems of polynomial
equalities and inequalities; plan the motion of mobile robots;
analyze Boolean networks; solve (possibly, multi-objective)
optimization problems; characterize the robustness of linear;
time-invariant plants; and certify positivity of polynomials.
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