Computer Algebra Algorithms for Control Related Tests of Implicit Dynamic Systems

Algorithms for computer algebra

Computer algebra - systems and algorithms for algebraic computation (2. ed.)

Well, someone can decide by themselves what they want to do and need to do but sometimes, that kind of person will need some computer algebra systems and algorithms for algebraic computation references. People with open minded will always try to seek for the new things and information from many sources. On the contrary, people with closed mind will always think that they can do it by their prin...

Computer Algebra Methods in Control Systems

As dynamic and control systems become more complex, relying purely on numerical computations for systems analysis and design might become extremely expensive or totally infeasible. Computer algebra can act as an enabler for analysis and design of such complex systems. It also provides means for characterization of all solutions and studying them before realizing a particular solution. This note...

Computer Algebra Algorithms*

INTRODUCTION ...................................................................................................................... 1 ARITHMETIC ........................................................................................................................... 2 Integer and Polynomial Addition, Multiplication, and Division with Remainder ............. 2 Integer and Polynomial Greatest C...

Asymptotics of Implicit Functions and Computer Algebra

We describe several algorithms for the asymptotic inversion of functions, from the computer algebra viewpoint. We start with some classical results, such as the inversion theorem of Lagrange. We next consider functions which can only be expanded in more complicated as-ymptotic scales. Finally, we brieey discuss the problem of nding the asymptotic behaviour of implicit functions.