Stability of switched polynomial systems

DOI10.1007/s11424-008-9119-5zbMath1173.93030OpenAlexW2042506710MaRDI QIDQ732792

Daizhan Cheng, Yupeng Qiao, Hong-Sheng Qi, Zhi-Qiang Li

Publication date: 15 October 2009

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-008-9119-5

zbMATH Keywords

global asymptotical stabilitysemi-tensor productswitched polynomial systems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Canonical structure (93B10) Asymptotic stability in control theory (93D20)

Related Items (8)

The computation of Nash equilibrium in fashion games via semi-tensor product method ⋮ STP Approach to Model Controlled Automata with Application to Reachability Analysis of DEDS ⋮ Algebraic state space approach to model and control combined automata ⋮ Exponential feedback passivity of switched polynomial nonlinear systems ⋮ Controllability, reachability, and stabilizability of finite automata: a controllability matrix method ⋮ A polynomial approach for stability analysis of switched systems ⋮ Solving type-2 fuzzy relation equations via semi-tensor product of matrices ⋮ On the observability of free Boolean networks via the semi-tensor product method

Cites Work

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• Homogeneous feedback controls for homogeneous systems
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Kronecker products and matrix calculus in system theory
• Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
• Homogeneous State Feedback Stabilization of Homogenous Systems
• Stabilization of nonlinear systems via designed center manifold

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