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The learning procedure of RC and the control action to steer system output to a set-point may influence each other and prolong the convergence time RC.
The constant control and the control designed by Lyapunov method compose a switching control strategy, which can steer system state to the target mixed state from any arbitrary state in the state space, i.e., the target mixed state is globally stable under the switching control.
Based on the proposed Lyapunov function, a control law is designed following Lyapunov's method to steer system state to the target mixed state from an initial state in the convergence domain, which is obtained through the analyses of invariant set based on LaSella's invariance principle.
The aim of the control is to steer system (3.19) from the start point (3.20).
Example 2. We want to steer system (2.3) from the start point (2.4) to the final point (2.5) by means of the control given by (2.8), where (2.12).
The aim of the control is to steer system (3.3) from the start point (3.5). to the final point (3.6). in a finite time interval t f - t s.
A nearby trough steered the system southeastward initially and later to the southwest.
A strong ridge situated north of the depression steered the system steadily westward.
Two days later, a cold front steered the system to the southeast, absorbing it after Christelle became extratropical on January 11.
The ridge steered the system to the southwest toward Rodigues, and conditions were expected to allow for intensification.
A deep layered ridge to its north steered the system west as it moved rapidly towards the Caribbean and into warmer waters.
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