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Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control
1Institute of Mathematics and Informatics, Szent István University, Páter K. u. 1., H-2103 Godollo, Hungary. Molnar.Sandor@gek.szie.hu
Bio Systems
|June 1, 2013
Summary
This study introduces nonlinear verticum-type control systems for complex industrial models. It establishes a condition for local controllability and optimizes integrated pest control costs.
Area of Science:
- Control Theory
- Systems Engineering
- Applied Mathematics
Background:
- Verticum-type control and observation systems model vertically connected subsystems.
- Previous work extended these concepts to nonlinear observation systems.
- This paper addresses nonlinear verticum-type control systems.
Purpose of the Study:
- Introduce the general concept of a nonlinear verticum-type control system.
- Obtain a sufficient condition for local controllability to equilibrium.
- Apply the framework to an integrated pest control model and solve a bioeconomical problem.
Main Methods:
- Decomposition of overall system control into subsystem controls.
- Linearization techniques.
- Development of a nonlinear verticum-type model for pest control.
Main Results:
- A sufficient condition for local controllability to equilibrium is derived.
- An equilibrium control for the nonlinear pest control model is obtained.
- The total cost of integrated pest control is minimized.
Conclusions:
- The nonlinear verticum-type control framework is applicable to complex systems.
- The proposed method effectively addresses bioeconomical optimization problems in pest management.
- Control decomposition offers a viable strategy for managing interconnected subsystems.
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