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The method guaranteed the trajectory of system to arrive the slide surface in finite time interval and be kept here thereafter.
Figure 2 State trajectory of system ( 5 ).
Figure 4 The trajectory of system ( 1 ) cannot be so.
Then the trajectory of system (3.1) no longer reaches the line (y=h).
Proof Along the trajectory of system (6), for the co-positive type Lyapunov-Krasovskii functional (7), we have (10).
Then along the trajectory of system (6), we have V ( t ) ≤ e − α ( t − t 0 ) V ( t 0 ).
Similar(27)
By the definition of the total trajectory, for any (sin mathbb {R}) the function (X_{s}(t)=X(s+t)) is a semi-trajectory of system (1.3) with initial condition (X_{s}(0)=X s)inGamma).
On the positive half-trajectory of system denoted by (g(p,T^), T^= 0,+infty)), let ({0leq{t_{1}}<{t_{2}}
Figure 4 State trajectories of system ( 1 ) with (pmb{sigma=0.1}).
(b) State trajectories of system (4.1) under impulsive effects.
Figure 2 Phase trajectories of system (4. 1).
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Justyna Jupowicz-Kozak
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