Stability theory for nonnegative and compartmental dynamical systems with time delay
Stability theory for nonnegative and compartmental dynamical systems with time delay
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DOI：
10.1016/j.sysconle.2003.09.006
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发表时间：
2004-04-01
影响因子：
2.6
通讯作者：
Chellaboina, VS
中科院分区：
文献类型：
--
作者：
Haddad, WM;Chellaboina, VS
非负和隔室动力系统模型是从质量和能量平衡考虑出发的，涉及到子系统或隔室之间的非负量交换。这些模型广泛存在于生物和物理科学中，并在理解这些过程中发挥着关键作用。这种系统的一个关键物理限制是，舱室之间的转移不是瞬时的，捕捉这种系统动态的现实模型应该考虑舱室之间运输的材料。本文给出了时滞非负分段动力系统稳定的充要条件。利用线性Lyapunov-Krasovskii泛函，建立了线性和非线性时滞非负动力系统的渐近稳定性条件。(C)2003爱思唯尔B.V.保留所有权利。
Nonnegative and compartmental dynamical system models are derived from mass and energy balance considerations and involve the exchange of nonnegative quantities between subsystems or compartments. These models are widespread in biological and physical sciences and play a key role in understanding these processes. A key physical limitation of such systems is that transfers between compartments is not instantaneous and realistic models for capturing the dynamics of such systems should account for material in transit between compartments. In this paper, we present necessary and sufficient conditions for stability of nonnegative and compartmental dynamical systems with time delay. Specifically, asymptotic stability conditions for linear and nonlinear nonnegative dynamical systems with time delay are established using linear Lyapunov-Krasovskii functionals. (C) 2003 Elsevier B.V. All rights reserved.