Controllability of dynamic systems with respect to part of the variables

被引：0

作者：

Kovalev, A.M.

机构：

来源：

Prikladnaya Matematika i Mekhanika | 1993年 / 57卷 / 06期

关键词：

Bodies of revolution - Differential equations - Dynamics - Linear control systems - Stability criteria - State estimation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The formulation of the problem on control with respect to part of the variables is considered for the case, that both the initial and final states of the system fall into the same subspace. The necessary and sufficient conditions of controllability with respect to part of the variables for linear self-regulating systems are proved. On the basis of the method of oriented manifolds, a number of theorems on the partial controllability of nonlinear self-regulating systems are derived. A problem on controlling the angular motion of a solid body by means of one rotor is studied.

引用

页码：41 / 50

共 50 条

[31] Homogeneity with respect to a part of variables and accelerated stabilization
Efimov, Denis
Kolmanovsky, Ilya
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 6635 - 6640
[32] ABSENCE OF ASYMPTOTIC STABILITY WITH RESPECT TO A PART OF VARIABLES
HATVANYI, L
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1976, 40 (02): : 223 - 228
[33] STABILITY WITH RESPECT TO A PART OF THE VARIABLES FOR A SYSTEM WITH DELAY
KALISTRATOVA, TA
AUTOMATION AND REMOTE CONTROL, 1986, 47 (05) : 615 - 620
[34] OPTIMAL STABILIZATION OF MOTION WITH RESPECT TO A PART OF VARIABLES
OZIRANER, AS
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1978, 42 (02): : 284 - 289
[35] Necessary condition for the stabilizability of nonlinear systems with respect to a part of variables in the class of discontinuous controls
Kovalev A.M.
Kravchenko N.V.
Nespirnyi V.N.
Ukrainian Mathematical Journal, 2006, 58 (10) : 1626 - 1634
[36] Exponential stability with respect to part of the variables for a class of nonlinear stochastic systems with Markovian switchings
Socha, Leslaw
Zhu, Quanxin
MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 155 : 2 - 14
[37] Global Asymptotic Stability with Respect to Part of the Variables for Solutions of Systems of Ordinary Differential Equations
M. Yu. Filimonov
Differential Equations, 2020, 56 : 710 - 720
[38] Global Asymptotic Stability with Respect to Part of the Variables for Solutions of Systems of Ordinary Differential Equations
Filimonov, M. Yu
DIFFERENTIAL EQUATIONS, 2020, 56 (06) : 710 - 720
[39] ON INVESTIGATING RESONANT ALMOST-PERIODIC SYSTEMS FOR STABILITY WITH RESPECT TO A PART OF THE VARIABLES.
Khapaev, M.M.
Shinkin, V.N.
1600, (47):
[40] Analysis of dynamic systems controllability
Zhirabok, A.N.
Shlikht, A.G.
Izvestiya Akademii Nauk: Tekhnicheskaia Kibernetika, 1992, (01): : 101 - 107

← 1 2 3 4 5 →