Stability of interconnected impulsive switched systems subject to state dimension variation

DOI10.1016/j.nahs.2012.07.001zbMath1269.93098OpenAlexW2019856000MaRDI QIDQ360627

Ivan Malloci, Zhiyun Lin, Gang-Feng Yan

Publication date: 27 August 2013

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1751570X12000210

zbMATH Keywords

traffic controlautomated highway systemsdwell time stabilityimpulsive behaviorinterconnected switched systemslongitudinal stability problemsystems state vector

Mathematics Subject Classification ID

Semidefinite programming (90C22) Queues and service in operations research (90B22) Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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Uses Software

• SeDuMi
• LMI toolbox

Cites Work

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• Switched system modeling and robust steering control of the tail end phase in a hot strip mill
• Switching in systems and control
• Lyapunov conditions for input-to-state stability of impulsive systems
• Stability results for linear parameter varying and switching systems
• Conditions for string stability
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Control of interconnected nonlinear dynamical systems: the platoon problem
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Dynamical systems which undergo switching
• Smooth stabilization implies coprime factorization
• String stability of interconnected systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Stability Analysis for a String of Coupled Stable Subsystems With Negative Imaginary Frequency Response
• Reduction of the small gain condition for large‐scale interconnections
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• On the ill-posedness of certain vehicular platoon control problems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching