Essays on Nonlinear

The systems that can adapt in reaction to unanticipated external disturbances and events during their operation are called autonomous systems . These systems have capability of self-adaptation, self-configuration, self-monitoring, tuning, and other kinds of adjustment without requiring external control input . Autonomous systems are also referred to as self-managed systems due to their independence from external controls. These systems are built such that their components satisfy the design intent in the presence of small perturbations, external disturbances, noise, or other environmental changes. In realm of control systems theory, autonomous systems carry the similar concept mentioned above. Talking in terms of state ...

Question 1

A. What is similarities and differences do you see between functions and linear equations studied in Ch. 3?

Functions and linear equations have elements which create straight lines when plotted on the graph. Both linear equation and a function are polynomial to the first degree. A linear equation and function have variables that are paired and separated by comma in a bracket. The variables are normally in form of x and y with each having one value. A linear equation is an algebraic expression having two variables with similar value while a function has only one variable. The major use of a function ...

This paper provides solutions to the discussion questions. However, some aspects of the discussion questions that needs the feedback or the response of the classmates are not included herein.

Both linear equations and functions deal with the x coordinates and y coordinates (points) on a graph. A linear equation often asks for the solution for both x and y while a function gives the value of either x or y.

Differences

Functions are expressed by the use of symbols that represent both the output (y) and the input (x). Both the x and y forms a set of ordered pairs. Example: y = 7x + ...