Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality

Figure 4

𝑥₁(𝑡) and 𝑥₂(𝑡) of the nonlinear system (1a) and (1b), with 𝑎=10,𝑐₁=𝑐₂=𝑘=1,𝑖=2,𝑟=5,𝑑=0.2,[𝑥₁₀𝑥₂₀]^𝑇=[1−1]^𝑇.