Nonlinear control systems analysis and design pdf

What is a non-linear system in control system?
They are systems where the output does not vary linearly with the input, which means that the relationship between the input and output is not proportional.
Instead, nonlinear systems may exhibit curvature, oscillations, or other complex behaviors that can be difficult to predict and control..
Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument

This paper employs dissipativity theory for the global analysis of limit cycles in particular dynamical systems of possibly high dimension.

What is a good book on nonlinear control?

International Journal of Robust and Nonlinear Control, (8):401{433, 1998

A van der Schaft

L2-Gain and Passivity Techniques in Nonlinear Con- trol

Springer-Verlag, London, 2000 J Willems

Dissipative dynamical systems - Part I: General theory

Archive for Rational Mechanics and Analysis, (45):321{351, 1972