An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales

الملخص EN

We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, ψ-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales.

We construct appropriate Lyapunov functions and derive several stability conditions.

Numerical examples are presented to illustrate the effectiveness of the theoretical results.