Linear stationary differential-algebraic systems: I. Solution representation

被引：0

作者：

V. M. Marchenko

O. N. Poddubnaya

机构：

[1] Belarussian State Technological University,

[2] Technical University of Bialystok,undefined

来源：

Journal of Computer and Systems Sciences International | 2006年 / 45卷

关键词：

Hybrid System; Algebraic System; System Science International; Determine Equation; Exponential Estimate;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Linear stationary differential-algebraic control systems are studied. An exponential estimate for the solution growth is proved for these systems. The obtained result allows one to apply the Laplace transform for investigation of stationary systems and, as a consequence, to obtain analytical representations of solutions in the form of series in powers of the solutions to the determining equations, which generalizes similar formulas (by expanding the matrix exponential into a series) for ordinary systems.

引用

页码：699 / 713

页数：14

共 8 条

[1] März R.(2004)Solvability of Linear Differential Algebraic Equations with Properly Stated Leading Terms Res. Math. 45 88-95
[2] De La Sen M.(1996)The Reachability and Observability of Hybrid Multirate Sampling Linear Systems Computer Math. Applic. 31 109-122
[3] Marchenko V. M.(2001)Totally Regular Systems with After-effect Tr. Inst. Mat. NAN Belarusi 7 97-104
[4] Marchenko V. M.(2005)Solution Representations and Relative Controllability of Linear Differential Algebraic Systems with Several Delays Dokl. Akad. Nauk 404 465-469
[5] Poddubnaya O. N.(2002)Expansion of Solutions to Control Hybrid Systems into Series in Solutions of Their Determining Equations Kibern. Vychisl. Tekh. 135 39-49
[6] Marchenko V. M.(1974)On the Problem of Relative Controllability of Systems with a Divergent Argument of Neutral Type Differ. Uravn. Ikh Primen. 10 1443-1450
[7] Poddubnaya O. N.(undefined)undefined undefined undefined undefined-undefined
[8] Shklyar B. Sh.(undefined)undefined undefined undefined undefined-undefined

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