Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems

Kai Lu; Qigui Yang; Guanrong Chen

doi:10.1063/1.5089662

Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5089662 ◽

2019 ◽

Vol 29 (4) ◽

pp. 043124 ◽

Cited By ~ 4

Author(s):

Kai Lu ◽

Qigui Yang ◽

Guanrong Chen

Keyword(s):

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

New Class

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A new class of 3-dimensional piecewise affine systems with homoclinic orbits

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016022 ◽

2016 ◽

Vol 36 (9) ◽

pp. 5119-5129 ◽

Cited By ~ 7

Author(s):

Tiantian Wu ◽

Xiao-Song Yang

Keyword(s):

Homoclinic Orbits ◽

Piecewise Affine Systems ◽

Affine Systems ◽

3 Dimensional ◽

Piecewise Affine ◽

New Class

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Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems

Chinese Physics B ◽

10.1088/1674-1056/27/11/110201 ◽

2018 ◽

Vol 27 (11) ◽

pp. 110201

Author(s):

Wenjing Xu ◽

Wei Xu ◽

Li Cai

Keyword(s):

Piecewise Affine Systems ◽

Heteroclinic Cycles ◽

Affine Systems ◽

Piecewise Affine ◽

New Class

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Dynamic Sliding-Mode Control for Piecewise Affine Systems

2020 Chinese Automation Congress (CAC) ◽

10.1109/cac51589.2020.9326817 ◽

2020 ◽

Author(s):

Chunyang Zhang ◽

Qing Gao ◽

Kexin Liu ◽

Jinhu Lv

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Mode Control ◽

Dynamic Sliding Mode Control ◽

Dynamic Sliding Mode

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A reference governor approach for constrained piecewise affine systems

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7075063 ◽

2009 ◽

Cited By ~ 6

Author(s):

Paolo Falcone ◽

Francesco Borrelli ◽

Jaroslav Pekar ◽

Greg Stewart

Keyword(s):

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Reference Governor

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Stabilization of discrete-time piecewise affine systems with quantized signals

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402439 ◽

2015 ◽

Cited By ~ 4

Author(s):

Masashi Wakaiki ◽

Yutaka Yamamoto

Keyword(s):

Discrete Time ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine

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Synthesis of optimal controllers for piecewise affine systems with sampled-data switching

Automatica ◽

10.1016/j.automatica.2005.12.023 ◽

2006 ◽

Vol 42 (5) ◽

pp. 697-710 ◽

Cited By ~ 15

Author(s):

Shun-ichi Azuma ◽

Jun-ichi Imura

Keyword(s):

Sampled Data ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Optimal Controllers ◽

Data Switching

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Robust adaptive minimum-time control of Piecewise Affine systems

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400524 ◽

2009 ◽

Cited By ~ 1

Author(s):

Michal Kvasnica ◽

Martin Herceg ◽

Lubos Cirka ◽

Miroslav Fikar

Keyword(s):

Minimum Time ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Time Control ◽

Robust Adaptive

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Optimal continuous-time control of sampled-data piecewise affine systems

Proceedings of the 2003 American Control Conference, 2003. ◽

10.1109/acc.2003.1242573 ◽

2004 ◽

Cited By ~ 2

Author(s):

Jun-ichi Imura

Keyword(s):

Continuous Time ◽

Sampled Data ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Time Control

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Recursive estimation in piecewise affine systems using parameter identifiers and concurrent learning

International Journal of Control ◽

10.1080/00207179.2017.1390256 ◽

2017 ◽

Vol 92 (6) ◽

pp. 1264-1281 ◽

Cited By ~ 2

Author(s):

Stefan Kersting ◽

Martin Buss

Keyword(s):

Recursive Estimation ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Concurrent Learning ◽

Piecewise Affine

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A limit cycle synthesis method of multi-modal and 2-dimensional piecewise affine systems

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6160330 ◽

2011 ◽

Author(s):

Tatsuya Kai ◽

Ryo Masuda

Keyword(s):

Limit Cycle ◽

Synthesis Method ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine

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