Zero dynamics and funnel control of general linear differential-algebraic systems

Thomas Berger

doi:10.1051/cocv/2015010

Zero dynamics and funnel control of general linear differential-algebraic systems

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2015010 ◽

2016 ◽

Vol 22 (2) ◽

pp. 371-403 ◽

Cited By ~ 11

Author(s):

Thomas Berger

Keyword(s):

General Linear ◽

Zero Dynamics ◽

Algebraic Systems ◽

Linear Differential ◽

Funnel Control

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Zero dynamics and funnel control of linear differential-algebraic systems

Mathematics of Control Signals and Systems ◽

10.1007/s00498-012-0085-z ◽

2012 ◽

Vol 24 (3) ◽

pp. 219-263 ◽

Cited By ~ 21

Author(s):

Thomas Berger ◽

Achim Ilchmann ◽

Timo Reis

Keyword(s):

Zero Dynamics ◽

Algebraic Systems ◽

Linear Differential ◽

Funnel Control

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Chapter 7: Normal Forms, High-Gain, and Funnel Control for Linear Differential-Algebraic Systems

Control and Optimization with Differential-Algebraic Constraints ◽

10.1137/9781611972252.ch7 ◽

2012 ◽

pp. 127-164 ◽

Cited By ~ 13

Author(s):

Thomas Berger ◽

Achim Ilchmann ◽

Timo Reis

Keyword(s):

Normal Forms ◽

High Gain ◽

Algebraic Systems ◽

Linear Differential ◽

Funnel Control

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Observers and Dynamic Controllers for Linear Differential-Algebraic Systems

SIAM Journal on Control and Optimization ◽

10.1137/15m1035355 ◽

2017 ◽

Vol 55 (6) ◽

pp. 3564-3591 ◽

Cited By ~ 6

Author(s):

Thomas Berger ◽

Timo Reis

Keyword(s):

Algebraic Systems ◽

Linear Differential

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The problem of defining the singular points of quasi-linear differential-algebraic systems

Theoretical Computer Science ◽

10.1016/s0304-3975(97)81843-9 ◽

1997 ◽

Vol 187 (1-2) ◽

pp. 49-79 ◽

Cited By ~ 3

Author(s):

G. Thomas

Keyword(s):

Singular Points ◽

Algebraic Systems ◽

Linear Differential

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Vector Relative Degree and Funnel Control for Differential-Algebraic Systems

Progress in Differential-Algebraic Equations II - Differential-Algebraic Equations Forum ◽

10.1007/978-3-030-53905-4_8 ◽

2020 ◽

pp. 213-255

Author(s):

Thomas Berger ◽

Huy Hoàng Lê ◽

Timo Reis

Keyword(s):

Relative Degree ◽

Algebraic Systems ◽

Funnel Control

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Controllability of Linear Differential-Algebraic Systems—A Survey

Surveys in Differential-Algebraic Equations I ◽

10.1007/978-3-642-34928-7_1 ◽

2013 ◽

pp. 1-61 ◽

Cited By ~ 27

Author(s):

Thomas Berger ◽

Timo Reis

Keyword(s):

Algebraic Systems ◽

Linear Differential

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Solving General Linear Differential Equations with Constant Coefficients: An Application to Constrained Optimization

Applications of Continuous Mathematics to Computer Science ◽

10.1007/978-94-017-0743-5_6 ◽

1997 ◽

pp. 109-129

Author(s):

Hung T. Nguyen ◽

Vladik Kreinovich

Keyword(s):

Differential Equations ◽

Constrained Optimization ◽

Linear Differential Equations ◽

General Linear ◽

Constant Coefficients ◽

Linear Differential

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A Discussion of the General Linear Differential Equation of the Second Order, d2y/dx2+P dy/dx+Qy=R, in which P, Q, and R are Functions of x

American Mathematical Monthly ◽

10.1080/00029890.1932.11987291 ◽

1932 ◽

Vol 39 (4) ◽

pp. 187-192

Author(s):

Roland Schaffert

Keyword(s):

Differential Equation ◽

Linear Differential Equation ◽

Second Order ◽

General Linear ◽

Linear Differential

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Existence of solution to some mixed problems for linear differential-algebraic systems of partial differential equations

Russian Mathematics ◽

10.3103/s1066369x19040078 ◽

2019 ◽

Vol 63 (4) ◽

pp. 64-74

Author(s):

S. V. Svinina ◽

A. K. Svinin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Existence Of Solution ◽

Partial Differential ◽

Algebraic Systems ◽

Mixed Problems ◽

Linear Differential

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On the nonresonance property of linear differential-algebraic systems

Differential Equations ◽

10.1134/s001226611110041 ◽

2012 ◽

Vol 48 (1) ◽

pp. 26-43

Author(s):

A. A. Shcheglova ◽

I. I. Matveeva

Keyword(s):

Algebraic Systems ◽

Linear Differential

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