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 …
disturbance. By introducing a class of weak common linear copositive Lyapunov functions …
A geometric approach to the global attractor conjecture
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 …
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 …
positive systems with impulse and disturbance. For the case when all subsystems are …
Stabilizing switching signals for switched systems
This article deals with stability of continuous-time switched systems under constrained
switching. Given a family of systems, possibly containing unstable dynamics, we …
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 …
designs new time-dependent switching signals guaranteeing asymptotic stability of discrete …
A robust Lyapunov criterion for nonoscillatory behaviors in biological interaction networks
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 …
verification, and study its application to biological interaction networks (also known as …
Structural analysis in biology: A control-theoretic approach
Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …
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 …
systems. By constructing a class of linear time-varying copositive Lyapunov functionals, we …
A network dynamics approach to chemical reaction networks
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 …
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 …
impulse and marginally stable subsystems is studied, in which both the continuous time …