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Theory and Modern Applications

Table 1 The minimum admissible value of control width under period \(T=2\)

From: Global exponential stabilization of nonlinear systems via width time-dependent periodically intermittent smooth control

 

Theorem 3.1 (H = 4)

Theorem 3.1 (H = 3)

Corollary 3.5

\(1\leq g_{1}, g_{2}\leq 3\)

0.55

0.6

Infeasible

\(0.5\leq g_{1}, g_{2}\leq 3\)

0.35

0.4

Infeasible

\(1\leq g_{1}, g_{2}\leq 5\)

0.35

0.4

Infeasible

\(0.5\leq g_{1}, g_{2}\leq 5\)

0.25

0.3

Infeasible

\(1\leq g_{1}, g_{2}\leq 10\)

0.2

0.25

Infeasible

\(0.5\leq g_{1}, g_{2}\leq 10\)

0.1

0.15

Infeasible

\(1\leq g_{1}, g_{2}\leq 15\)

0.13

0.15

0.85

\(0.5\leq g_{1}, g_{2}\leq 15\)

0.09

0.1

0.84