On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems

被引:0
|
作者
Chellaboina, V [1 ]
Haddad, WM [1 ]
Bailey, JM [1 ]
Ramakrishnan, J [1 ]
机构
[1] Univ Missouri, Columbia, MO 65211 USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentrations of a physical process, it is of interest to determine necessary and sufficient conditions under which the system states possess monotonic solutions. In this paper we present necessary and sufficient conditions for identifying discrete-time nonnegative and compartmental dynamical systems that only admit monotonic solutions.
引用
收藏
页码:2329 / 2334
页数:6
相关论文
共 50 条
  • [21] Flatness and Submersivity of Discrete-Time Dynamical Systems
    Guillot, Philippe
    Millerioux, Gilles
    IEEE CONTROL SYSTEMS LETTERS, 2020, 4 (02): : 337 - 342
  • [22] On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
    Cui, Shaoxuan
    Zhang, Guofeng
    Jardon-Kojakhmetov, Hildeberto
    Cao, Ming
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 1078 - 1083
  • [23] Control problems of discrete-time dynamical systems
    Hasegawa, Yasumichi
    Lecture Notes in Control and Information Sciences, 2013, 447
  • [24] On Ω-limit sets of discrete-time dynamical systems
    Kempf, R
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (12) : 1121 - 1131
  • [25] Symplectic Property of Discrete-Time Dynamical Systems
    Sogo, Kiyoshi
    Uno, Toshiaki
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2011, 80 (12)
  • [26] Generations of solvable discrete-time dynamical systems
    Bihun, Oksana
    Calogero, Francesco
    JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (05)
  • [27] Dimensionality reduction in discrete-time dynamical systems
    Tu, Chengyi
    Wu, Yu
    Luo, Jianhong
    Jiang, Yi
    Pan, Xuwei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 123
  • [28] Finite Time Stability of Discrete-Time Stochastic Dynamical Systems
    Lee, Junsoo
    Haddad, Wassim M.
    Bhat, Sanjay P.
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 6646 - 6651
  • [29] Fixed Time Stability of Discrete-Time Stochastic Dynamical Systems
    Lee, Junsoo
    Haddad, Wassim M.
    2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 4001 - 4006
  • [30] Fixed time stability of discrete-time stochastic dynamical systems
    Lee, Junsoo
    Haddad, Wassim M.
    AUTOMATICA, 2024, 163