State constrained control of impulsive quadratic systems in integrated pest management

• Published in: Computers and electronics in agriculture Vol. 82; pp. 117 - 121
• Main Authors: Amato, F, De Tommasi, G, Merola, A
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.03.2012; Elsevier
• Subjects: Agronomy. Soil science and plant productions; Biological and medical sciences; ecological balance; finite-time stability; Fundamental and applied biological sciences. Psychology; Impulsive dynamical systems; integrated pest management; LMIs; pesticides; pests; Phytopathology. Animal pests. Plant and forest protection; Predator–pest model; Quadratic systems; LMIs; Impulsive dynamical systems; finite-time stability; Quadratic systems; Predator–pest model; Stability; Predator-pest model; Predator; Dynamical system; Pest organism; Integrated pest management; Modeling
• ISSN: 0168-1699; 1872-7107
• DOI: 10.1016/j.compag.2012.01.003

In this paper, an approach based on the concept of finite-time stability is applied to the problem of designing optimal control strategies for an integrated pest management model with disease in the pest, which is subject to time-dependent impulsive control. The goal is to design a resetting law such that, given a set of admissible initial conditions, the state trajectories of the resulting impulsive quadratic system remain in a bounded region of the state space which is prescribed on the basis of some constraints on ecological balance and resource saving. The determination of an optimal resetting period, which is related to the release period of chemical pesticides, is reduced to the solution of a feasibility problem with linear matrix inequalities constraints.