Numerical Methods for Linear Control Systems By Biswa Datta
This textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on modern linear techniques for solving the mathematical problems. This book has aimed at engineers and theorists, vibration, aerospace, automotive, and structural dynamics engineers along with the applied and computational linear algebraists.
It has full coverage of all modern mathematical concepts including parallel computations, second order systems along with large scale solutions. Even for the better grasping of the readers background material in Linear algebra, numerical linear algebra and control theory has also explained.
The most appealing feature is the step by step explanation of all the algorithms along with the illustrations for the firm grip of the readers. even along with the text MATLAB based solution software is also included for the implementation of the major algorithms. the book starts with the review of the basic concepts and results from the theoretical linear algebra and the fundamental tools and terms from the numerical linear algebra . later it explain about the canonical forms obtained via Orthogonal transformations, linear state space models and solutions of the state equations
Even it emphasizes on the Eigen value assignment and estimation of state, internal balancing and model reduction and Krylov subspace methods including numerical methods for the Matrix second order control systems.