2022/07/20 by Yu Kawano, Kawano, Yu, Fulvio Forni +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #FOS: Electrical engineering #FOS: Mathematics #Gene Regulatory Network Analysis #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2207.09828
openalex publication_date 2022/07/20 · openalex created_date 2023/02/14 · openalex updated_date 2026/07/28
We discuss the role of monotonicity in enabling numerically tractable modular control design for networked nonlinear systems. We first show that the variational systems of monotone systems can be embedded into positive systems. Utilizing this embedding, we show how to solve a network stabilization problem by enforcing monotonicity and exponential dissipativity of the network sub-components. Such modular approach leads to a design algorithm based on a sequence of linear programming problems.