Symbolic Algebra In Dynamic Systems And Controls Classes
Author(s) -
J.K. Parker
Publication year - 2020
Language(s) - English
Resource type - Conference proceedings
DOI - 10.18260/1-2--9834
Subject(s) - symbolic computation , algebraic equation , block diagram , computer science , variable (mathematics) , algebra over a field , simultaneous equations , linear algebra , dynamical systems theory , differential equation , state variable , algebraic number , differential algebraic equation , system of linear equations , set (abstract data type) , independent equation , mathematics , pure mathematics , nonlinear system , ordinary differential equation , programming language , mathematical analysis , physics , geometry , quantum mechanics , electrical engineering , thermodynamics , engineering
Large sets of symbolic simultaneous linear equations occur frequently in the types of problems found in system dynamics and control courses. Students often have difficulty with algebraic manipulation of several symbolic equations. Three example problems (finding state variable equations for an electric circuit, developing transfer functions from sets of state variable equations, and block diagram reduction) show how symbolic algebra can be used to reduce tedious algebraic manipulation in system dynamics and control courses.
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