Nonlinear dynamical control systems
Nonlinear dynamical control systems
Equivalence of Nonlinear Systems to Input-Output Prime Forms
SIAM Journal on Control and Optimization
Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
ACM Transactions on Mathematical Software (TOMS)
Evaluating derivatives: principles and techniques of algorithmic differentiation
Evaluating derivatives: principles and techniques of algorithmic differentiation
Evaluating higher derivative tensors by forward propagation of univariate Taylor series
Mathematics of Computation
Introduction to Physical Modeling with Modelica
Introduction to Physical Modeling with Modelica
Nonlinear Control Systems: An Introduction
Nonlinear Control Systems: An Introduction
Differentiation methods for industrial strength problems
Automatic differentiation of algorithms
Nonlinear observer design using automatic differentiation
Automatic differentiation of algorithms
The Maple package SyNRAC and its application to robust control design
Future Generation Computer Systems
Symbolic/numeric analysis of chaotic synchronization with a CAS
Future Generation Computer Systems
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Various modern algorithms for controller design are based on differential-geometric concepts. A method of particular importance is called exact linearization via feedback. In this case, the implementation of the controller requires the computation of Lie derivatives, which have been computed symbolically. This can be very time consuming. We present a new computation method relying on automatic differentiation.