Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms

DOI10.1134/S000511791106004XzbMath1269.34013OpenAlexW2055563578MaRDI QIDQ647780

Juan-Miguel Gracia

Publication date: 24 November 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000511791106004x

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Asymptotic properties of solutions to ordinary differential equations (34D05) Hybrid systems of ordinary differential equations (34A38)

Related Items (15)

Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations ⋮ On stability of solutions for a class of nonlinear difference systems with switching ⋮ On spectral decompositions of solutions to discrete Lyapunov equations ⋮ Estimate of the attraction domain for a class of nonlinear switched systems ⋮ Iterative optimization algorithms for discrete-continuous processes ⋮ Frequency-domain stability conditions for hybrid systems ⋮ On the asymptotic stability and ultimate boundedness of solutions of a class of nonlinear systems with delay ⋮ Multimode formation stability ⋮ On diagonal stability of positive systems with switches and delays ⋮ A counterpart of A. M. Molchanov's critical case for impulse systems ⋮ Method of forbidden regions in the dynamic system matrices root clustering problem ⋮ Integral solution of linear multi-term matrix equation and its spectral decompositions ⋮ On the asymptotic stability problem for solutions of difference switched systems ⋮ On asymptotic stability of homogeneous singular systems with switching ⋮ Spectral decompositions for the solutions of Lyapunov equations for bilinear dynamical systems

Cites Work

• Stability and attractivity of solutions of differential equations with impulses at fixed times
• Existence criterion of the common quadratic Lyapunov function for a set of linear second-order systems
• Basic problems in stability and design of switched systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Stability Criteria for Switched and Hybrid Systems
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