The structure of reachable sets for affine control systems induced by generalized Martinet sub-Lorentzian metrics

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2011202 ◽

2012 ◽

Vol 18 (4) ◽

pp. 1150-1177 ◽

Author(s):

Marek Grochowski

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Lorentzian Metrics ◽

Affine Control Systems

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The Structure of Reachable Sets and Geometric Optimality of Singular Trajectories for Certain Affine Control Systems in ℝ3. The Sub-Lorentzian Approach

Journal of Dynamical and Control Systems ◽

10.1007/s10883-013-9202-7 ◽

2013 ◽

Vol 20 (1) ◽

pp. 59-89 ◽

Author(s):

Marek Grochowski

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Affine Control Systems ◽

Geometric Optimality

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About the continuity of reachable sets of restricted affine control systems

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2016.11.006 ◽

2017 ◽

Vol 94 ◽

pp. 37-43

Author(s):

Víctor Ayala ◽

Heriberto Román-Flores ◽

Adriano Da Silva

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Affine Control Systems

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Constructing Reachable Sets for Control Systems of Second Order of Accuracy with Respect to Time Step

Numerical Analysis and Applications ◽

10.1134/s1995423920040023 ◽

2020 ◽

Vol 13 (4) ◽

pp. 306-320

Author(s):

A. A. Ershov

Keyword(s):

Control Systems ◽

Second Order ◽

Reachable Sets ◽

Time Step ◽

Order Of Accuracy

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Contingent Cones to Reachable Sets of Control Systems

SIAM Journal on Control and Optimization ◽

10.1137/0327010 ◽

1989 ◽

Vol 27 (1) ◽

pp. 170-198 ◽

Author(s):

Halina Frankowska

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Contingent Cones

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Non-robustness of continuous homogeneous stabilizers for affine control systems

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) ◽

10.1109/cdc.1999.832897 ◽

2003 ◽

Author(s):

D.A. Lizarraga ◽

P. Morin ◽

C. Samson

Keyword(s):

Control Systems ◽

Affine Control Systems

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Application of penalty function method to computation of reachable sets for control systems with state constraints

10.1063/1.4964973 ◽

2016 ◽

Author(s):

M. I. Gusev

Keyword(s):

Control Systems ◽

Penalty Function ◽

Function Method ◽

State Constraints ◽

Reachable Sets ◽

Penalty Function Method

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Transformation and Chained Structure for a Class of Nonlinear Affine Control Systems

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e94.a.1468 ◽

2011 ◽

Vol E94-A (6) ◽

pp. 1468-1472

Author(s):

Tatsuya KAI

Keyword(s):

Control Systems ◽

Affine Control Systems

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A Note on the Reachable Sets of Control Systems

New Trends in Systems Theory ◽

10.1007/978-1-4612-0439-8_13 ◽

1991 ◽

pp. 113-119 ◽

Author(s):

Rosa Maria Bianchini ◽

Gianna Stefani

Keyword(s):

Control Systems ◽

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On a classification of four-dimensional affine control systems

Doklady Mathematics ◽

10.1134/s1064562414050226 ◽

2014 ◽

Vol 90 (1) ◽

pp. 483-484 ◽

Author(s):

V. I. Elkin

Keyword(s):

Control Systems ◽

Affine Control Systems

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A constructive method for feedback stabilization of affine control systems with input and state constraints

1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329) ◽

10.1109/coc.1997.631347 ◽

2002 ◽

Author(s):

V.A. Kamenetskiy

Keyword(s):

Control Systems ◽

State Constraints ◽

Feedback Stabilization ◽

Constructive Method ◽

Affine Control Systems ◽

Input And State Constraints

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