Differentiable Families of Planar Bimodal Linear Control Systems

被引：4

作者：

Ferrer, Josep ^{[1
]}

Dolors Magret, M. ^{[1
]}

Pena, Marta ^{[1
]}

机构：

[1] Univ Politecn Cataluna, ETSEIB, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

D O I：

10.1155/2014/292813

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane, assuming continuity along it. For a differentiable family of planar bimodal linear control systems, we obtain its stratification diagram and, if controllability holds for each value of the parameters, we construct a differentiable family of feedbacks which stabilizes both subsystems for each value of the parameters.

引用

页数：9

共 50 条

[41] FAMILIES OF FLAT DIFFERENTIABLE CURVES
DUFOUR, JP
TOPOLOGY, 1983, 22 (04) : 449 - 474
[42] FAMILIES OF DIFFERENTIABLE SCALARIZATION FUNCTIONS
GEARHART, WB
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 62 (02) : 321 - 332
[43] Delayed-feedback control of oscillations in non-linear planar systems
Atay, FM
INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (05) : 297 - 304
[44] A review of linear response theory for general differentiable dynamical systems
Ruelle, David
NONLINEARITY, 2009, 22 (04) : 855 - 870
[45] Stratification of linear systems.: Bifurcation diagrams for families of linear systems
García-Planas, MI
Magret, MD
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 297 (1-3) : 23 - 56
[46] Portfolio control using the linear utility and differentiable trading strategies
Gashi, Bujar
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 1948 - 1953
[47] ON THE DIFFERENTIABLE MANIFOLD OF FIXED ORDER STABLE LINEAR-SYSTEMS
HANZON, B
SYSTEMS & CONTROL LETTERS, 1989, 13 (04) : 345 - 352
[48] BiCGStab(ℓ) for Families of Shifted Linear Systems
A. Frommer
Computing, 2003, 70 : 87 - 109
[49] ON THE THEORY OF FAMILIES OF LINEAR SYSTEMS.
Hazewinkel, Michiel
Perdon, Anna Maria
Welding in the World, Le Soudage Dans Le Monde, 1979, : 155 - 161
[50] Preview Tracking Control for a Class of Differentiable Nonlinear Systems
Xiao Yu
Fucheng Liao
Jiamei Deng
Arabian Journal for Science and Engineering, 2018, 43 : 3259 - 3268

← 1 2 3 4 5 →