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Linear dynamical systems can be solved exactly, in contrast to most nonlinear ones. Occasionally, a nonlinear system can be solved exactly by a change of variables to a linear system. Moreover, the solutions of (almost) any nonlinear system can be well-approximated by an equivalent linear system near its fixed points. Hence, understanding ...
Supports system dynamics, agent based and discrete event modeling, allows making hybrid models. ASCEND: Free, GNU General Public License (GPL) C: 2012 For solving small to very large mathematical models, systems of non-linear equations, linear and nonlinear optimisation problems, dynamic systems expressed as differential-algebraic equations.
System dynamics is a methodology and mathematical modeling technique to frame, understand, and discuss complex issues and problems. Originally developed in the 1950s to help corporate managers improve their understanding of industrial processes, SD is currently being used throughout the public and private sector for policy analysis and design.
Observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. In control theory, the observability and controllability of a linear system are mathematical duals. The concept of observability was introduced by the Hungarian-American engineer Rudolf E. Kálmán for linear dynamic systems.
Unlike the frequency domain approach, the use of the state-space representation is not limited to systems with linear components and zero initial conditions. The state-space model can be applied in subjects such as economics, [ 4 ] statistics, [ 5 ] computer science and electrical engineering, [ 6 ] and neuroscience. [ 7 ]
STELLA (short for Systems Thinking, Experimental Learning Laboratory with Animation; also marketed as iThink) is a visual programming language for system dynamics modeling introduced by Barry Richmond in 1985. The program, distributed by isee systems (formerly High Performance Systems) allows users to run models created as graphical ...
LDRA tool suite is a proprietary software analysis tool providing static code analysis, and also provides code coverage analysis, code, quality, and design reviews. It is a commercial implementation of the software test-bed created by Hennell as part of his university research. [citation needed]
In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal ...