State-of-the-Art Algorithms for Systems and Control

Advanced Numerical Methods is a Mathematica application package that expands the functionality of Control System Professional with an extensive collection of state-of-the-art numerical algorithms. It seamlessly integrates into the Control System Professional framework using the same data structures and, when possible, the same function names.

Advanced Numerical Methods implements reliable and robust numerical algorithms, including several new methods for Lyapunov, Sylvester, and Riccati equations, to solve a wide class of control problems and linear algebra problems with applications in control theory. For each problem, Advanced Numerical Methods provides several computationally viable numerical algorithms that enable the user to choose the most appropriate tool for a given task. Alternatively, it can often automatically select a suitable algorithm based on the size of the problem, the precision of the data, and the precision needed for a particular application.

Combined with Mathematica's extensive graphical capabilities and automatic arbitrary-precision control, Advanced Numerical Methods provides a superior environment for solving industrial and research control problems, thereby bringing technology to control industries and education.

"The function LQRegulatorGains calls the Riccati equation solver and passes the user-supplied option... [GeneralizedSchurDecomposition, MatrixSign, etc.] At the same time, the user also has access to the underlying solvers and can find the optimal gains in a step-by-step fashion." Béla Paláncz, Zoltán Benyó, and Levente Kovács "Control System Professional Suite" IEEE Control Systems Magazine

Advanced Numerical Methods 1.0.3 requires Mathematica 5.0-5.2 and Control System Professional 2.0.3 and is available for all Mathematica platforms.

Note: For registered users of Advanced Numerical Methods, Version 1.0.3 is available for download.