SOME APPROACHES TO A QUANTITATIVE MEASURE OF THE STABILITY OF DYNAMICAL SYSTEMS

被引：0
作者：
Kutsenko, A. S. [1 ]
Kovalenko, S., V [1 ]
机构：
[1] Natl Tech Univ, Kharkiv Polytech Inst, Dept Syst Anal & Informat & Analyt Technol, Kyrpychova Str,2, UA-61002 Kharkov, Ukraine
来源：
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2019年 / 7卷 / 03期
关键词：
dynamic system; stability; technical stability; integral quadratic functional; Lyapunov matrix equation;
D O I：
10.32523/2306-6172-2019-7-3-56-69
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article analyses the state of the problem of the quantitative measure of the stability of dynamic systems. Two approaches to solve this problem are proposed. The first approach is based on the study of the deformation process of an arbitrary region of the phase space on the solutions of systems of differential equations. The second method is based on a multiple assessment of the integral quadratic functionals of the trajectories of a stable dynamical system
引用
收藏
页码：56 / 69
页数：14
相关论文
共 22 条
  • [1] Aleksandrov A. G., 1986, SYNTHESIS MULTIDIMEN
  • [2] Andreev Yu. I., 1976, Control of finite-dimensional linear objects
  • [3] [Anonymous], STUDIA MATH
  • [4] ARNOLD VI, 1979, MATH METHODS CLASSIC
  • [5] CHERNOUSKO FL, 1988, ESTIMATION PHASE STA
  • [6] Feldbaum A. A., 1957, ELECT AUTOMATIC CONT
  • [7] Fikhtengolts G. M., 2013, COURSE DIFFERENTIAL, V3
  • [8] Gantmakher F.R., 1967, The Matrix Theory
  • [9] Krasovskii A. A., 1946, P ZHUK AIR FORC ENG, P1
  • [10] Krasovskii A. A., 1974, PHASE SPACE STATIC T
123