Outline
State-Space Equations
M. S. Fadali
Professor EE
University of Nevada, Reno
State-space equations.
Solution of state equation.
Properties of matrix exponential.
Transfer function.
1
State-space Model
2
Solution of State Equation
State equation and
1
2
Outline
WHY STUDY
NONLINEAR
SYSTEMS?
Why study nonlinear systems?
Classification of nonlinearities.
Linear systems.
M. S. Fadali
Professor of EE
Examples of nonlinear behavior.
Equilibrium.
3
Why Nonlinear Control
Classification of Nonlinearities
Outline
Stability definitions.
Lyapunovs (second) direct method.
M. S. Fadali
Professor of EE
Equilibrium of nonlinear system
Lyapunov Stability Theory
.
Class
functions.
1
Equilibrium Point
2
Lyapunov Stability
Consider autonomous systems.
x2
x1
The equi