Chapter 2
Mathematical Description of Continuous-Time Systems
Standard Signals and Signal Representation
Unit Impulse
This signal is an extremely high intensity signal that occurs during an extremely small
period of time. Symbolically, it is represented a
Chapter 5
System Stability
Equilibrium States or Points (xe)
Definition 1: A particular state x e is an equilibrium state (point) of a continuous, dynamical
system if the systems state at t0 is x e and x(t ) = x e for t t0 without input or disturbance.
(
Chapter 4
System Controllability and Observability
In this chapter we will consider the concepts of controllability and observability of the linear
dynamical systems. These two concepts have important implications and influences on the
stability of system
Illustrative Example 2-3!
[Note: You have seen the background topic behind Part
2 in your Vibrations, Controls, and Ordinary
Differential Equations courses. It is presented here
for comparison purposes only; however, it is not an
emphasis of ME 480/580. T
Chapter 3
Analysis of the State Equations
In this chapter we will study the methods of solving the state equations.
The Homogeneous Case
We wish to solve the state equation
x (t ) = Ax(t ) + Bu(t )