Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
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Publication:817634
DOI10.1016/j.laa.2005.07.023zbMath1102.93035OpenAlexW2081387959MaRDI QIDQ817634
Christopher K. King, Robert N. Shorten
Publication date: 16 March 2006
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2005.07.023
Lyapunov and storage functions (93D30) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (9)
Tensor conditions for the existence of a common solution to the Lyapunov equation ⋮ A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation ⋮ An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty ⋮ A Kalman-Yakubovich-Popov-type lemma for systems with certain state-dependent constraints ⋮ Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching ⋮ Quadratic Lyapunov functions for systems with state-dependent switching ⋮ The Lyapunov order for real matrices ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ A novel methodology to solve the CQLF problem for a finite set of stable second-order systems
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