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International Journal of Control Volume 83, 2010 - Issue 4
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Original Articles

Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems

Z.H. Huang Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore
,
C. Xiang Department of Electrical and Computer Engineering, National University of Singapore, 117576, SingaporeCorrespondence[email protected]
,
H. Lin Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore
&
T.H. Lee Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore
Pages 694-715 | Received 14 Nov 2008, Accepted 02 Oct 2009, Published online: 11 Dec 2009

Citations (16)

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Read on this site (6)

Liying Zhu & Jianbin Qiu. (2019) Region stability and stabilisation of switched linear systems with multiple equilibria. International Journal of Control 92:5, pages 1061-1083.
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Xiaozhan Yang, H. K. Lam & Ligang Wu. (2019) Necessary and sufficient stability condition for second-order switched systems: a phase function approach. International Journal of Control 92:4, pages 926-939.
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Shen Cong. (2014) Stabilising switching law to minimise return ratio with two linear planar subsystems. International Journal of Control 87:5, pages 976-986.
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Shen Cong. (2013) Characterising the stabilisability for second-order linear switched systems. International Journal of Control 86:3, pages 519-528.
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Yue Yang, Cheng Xiang & Tong Heng Lee. (2012) Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching. International Journal of Control 85:12, pages 1977-1995.
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Yan Zheng & Gang Feng. (2011) Stabilisation of second-order LTI switched positive systems. International Journal of Control 84:8, pages 1387-1397.
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Articles from other publishers (10)

Yan Zhu & Zhendong Sun. (2021) Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach. Automatica 129, pages 109617.
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Zhendong Sun. (2020) Feedback Stabilization of Third-Order Switched Linear Control Systems. IEEE Control Systems Letters 4:4, pages 857-861.
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Junjie Lu, Zhikun She, Shuzhi Sam Ge & Xin Jiang. (2018) Stability analysis of discrete-time switched systems via Multi-step multiple Lyapunov-like functions. Nonlinear Analysis: Hybrid Systems 27, pages 44-61.
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Khatereh Sokhanvar Mahani, Ali Karimpour & Naser Pariz. (2015) Asymptotic stability analysis of planar switched homogeneous systems. IMA Journal of Mathematical Control and Information, pages dnv066.
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Andrea Bacciotti. (2014) Open-loop stabilization and destabilization of switched systems in the plane. Open-loop stabilization and destabilization of switched systems in the plane.
Yue Yang, Cheng Xiang & Tong Heng Lee. (2014) Necessary and sufficient conditions for regional stabilisability of second-order switched linear systems with a finite number of subsystems. Automatica 50:3, pages 931-939.
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Andrea Bacciotti. (2013) A remark about linear switched systems in the plane. IFAC Proceedings Volumes 46:23, pages 612-616.
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Sendren Sheng-Dong Xu & Chih-Chiang Chen. (2013) On Existence of Stabilizing Switching Laws within a Class of Unstable Linear Systems. Abstract and Applied Analysis 2013, pages 1-11.
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Zhikun She & Haoyang Li. 2012. Computer Algebra in Scientific Computing. Computer Algebra in Scientific Computing 334 348 .
R. Shorten, M. Corless, S. Sajja & S. Solmaz. (2011) On Padé approximations, quadratic stability and discretization of switched linear systems. Systems & Control Letters 60:9, pages 683-689.
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