Stabilization of positive switched linear systems and its application in consensus of multiagent systems

Y Sun, Y Tian, XJ **e - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
In this note, we study the stabilization problem of positive switched linear system (PSLS) with
disturbance. By introducing a class of weak common linear copositive Lyapunov functions …

A geometric approach to the global attractor conjecture

M Gopalkrishnan, E Miller, A Shiu - SIAM Journal on Applied Dynamical …, 2014 - SIAM
This paper introduces the class of strongly endotactic networks, a subclass of the endotactic
networks introduced by Craciun, Nazarov, and Pantea. The main result states that the global …

Practical exponential stability of discrete-time switched linear positive systems with impulse and all modes unstable

J Zhang, Y Sun - Applied Mathematics and Computation, 2021 - Elsevier
This paper deals with the practical exponential stability of discrete-time switched linear
positive systems with impulse and disturbance. For the case when all subsystems are …

Stabilizing switching signals for switched systems

A Kundu, D Chatterjee - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
This article deals with stability of continuous-time switched systems under constrained
switching. Given a family of systems, possibly containing unstable dynamics, we …

Stabilization of discrete-time switched positive linear systems via weak switched linear copositive Lyapunov function

Y Ju, Y Sun - Automatica, 2020 - Elsevier
By introducing a class of weak switched linear copositive Lyapunov functions, this paper
designs new time-dependent switching signals guaranteeing asymptotic stability of discrete …

A robust Lyapunov criterion for nonoscillatory behaviors in biological interaction networks

D Angeli, MA Al-Radhawi… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We introduce the notion of nonoscillation, propose a constructive method for its robust
verification, and study its application to biological interaction networks (also known as …

Structural analysis in biology: A control-theoretic approach

F Blanchini, G Giordano - Automatica, 2021 - Elsevier
Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …

Finite-time stability of positive switched time-delay systems based on linear time-varying copositive Lyapunov functional

T Huang, Y Sun, D Tian - Journal of the Franklin Institute, 2022 - Elsevier
In this paper, we deal with the finite-time stability of positive switched linear time-delay
systems. By constructing a class of linear time-varying copositive Lyapunov functionals, we …

A network dynamics approach to chemical reaction networks

AJ Van der Schaft, S Rao… - International Journal of …, 2016 - Taylor & Francis
ABSTRACT A treatment of a chemical reaction network theory is given from the perspective
of nonlinear network dynamics, in particular of consensus dynamics. By starting from the …

Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method

Y Ju, Y Sun, F Meng - Applied Mathematics and Computation, 2020 - Elsevier
In this article, the problem of stabilization for the switched positive linear system (SPLS) with
impulse and marginally stable subsystems is studied, in which both the continuous time …