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
来源：
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2003年
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D O I：
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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.
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页码：2329 / 2334
页数：6
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