Well-posedness of bimodal state-based switched systems

DOI10.1016/j.aml.2007.09.007zbMath1168.34303OpenAlexW2071234400MaRDI QIDQ953885

Changzhi Wu, Volker Rehbock, Kok Lay Teo

Publication date: 6 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.09.007

zbMATH Keywords

Zeno phenomenon

Mathematics Subject Classification ID

Variable structure systems (93B12) Analytic circuit theory (94C05) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Modelling and well-posedness of a nonlinear hybrid system in fed-batch production of 1,3-propanediol with open loop glycerol input and pH logic control ⋮ Well posedness conditions for bimodal piecewise affine systems ⋮ Modelling and properties of a nonlinear autonomous switching system in fed-batch culture of glycerol ⋮ Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function ⋮ Modelling of a nonlinear switching system in microbial continuous culture and its parameter optimization via sensitivity functions

Cites Work

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• Toward unified analysis and controller synthesis for a class of hybrid systems
• Analysis and synthesis of switched linear control systems
• On the regularization of Zeno hybrid automata
• Stabilization by means of state space depending switching rules
• On time optimal control of integrator switched systems with state constraints
• Zeno hybrid systems
• Characterization of well-posedness of piecewise-linear systems
• Well-posedness analysis of switch-driven piecewise affine systems
• Optimal Control of Switched Systems Based on Parameterization of the Switching Instants
• Analysis of Zeno behaviors in a class of hybrid systems

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