State whether the given statements with reference to the non-linear control systems are true or false.
1. Non-linear system can be analyses with the Lyapunov stability criteria.
2. Non-linear system does not fulfil superposition principle.

Correct option is B

· Nonlinear control theory covers a wider class of systems that do not obey the superposition principle.
· It applies to more real-world systems, because all real control systems are nonlinear.
· These systems are often governed by nonlinear differential equations.
· Nonlinear systems are the ones that don't stick to simple, predictable patterns throughout their whole operation.
· Nonlinear Differential Equations: Methods to solve and understand the systems governed by nonlinear differential equations.
· Application:
· Nonlinear Control Strategies:
· Developing control techniques specifically tailored for nonlinear systems, such as sliding mode control, adaptive control, and back stepping control.
· Nonlinear Stability Analysis:
· Evaluating stability in systems that does not adhere to linear stability concepts using Lyapunov stability theory & other nonlinear stability analysis methods.