Frequency-domain stability conditions for hybrid systems

DOI10.1134/S0005117917120013zbMath1382.93023MaRDI QIDQ2412963

V. A. Kamenetskiy

Publication date: 6 April 2018

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

zbMATH Keywords

stabilityLyapunov functionsmatrix inequalitiesswitched systemsfrequency theorem

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

Frequency-domain stability conditions for discrete-time switched systems ⋮ On the existence of a common Lyapunov function for a family of nonlinear positive systems ⋮ Matrix inequalities in the stability theory: new results based on the convolution theorem ⋮ Absolute stability of switched Lurie systems via dwell time switching ⋮ Switched systems, Lur'e systems, absolute stability, Aizerman problem ⋮ Discrete-time pairwise connected switched systems and Lur'e systems. Tsypkin's criterion for systems with two nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On stability of solutions for a class of nonlinear difference systems with switching
• On the asymptotic stability of switched homogeneous systems
• On the quadratic stability of switched linear systems associated with symmetric transfer function matrices
• Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms
• Absolute instability of nonlinear control systems. II: Systems with nonstationary nonlinearities. The circle criterion
• On the application of Lyapunov's direct method to differential equations with ambiguous right sides
• Numerical methods of construction of Lyapunov functions and absolute stability criteria in the form of numerical procedures
• Absolute stability and absolute instability of control systems with several nonlinear nonstationary elements
• On the existence of a common quadratic Lyapunov function for a rank one difference
• Common Lyapunov solutions for two matrices whose difference has rank one
• An iterative method of Lyapunov function construction for differential inclusions
• Stability conditions in homogeneous systems with arbitrary regime switching
• Absolute instability of nonlinear nonstationary systems. I
• Absolute stability and absolute instability of control systems with two nonlinear nonstationary elements. II
• On stability of a class of switched nonlinear systems
• Solvability conditions for a second-order system of linear matrix inequalities
• Structured and simultaneous Lyapunov functions for system stability problems
• Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
• Stability Criteria for Switched and Hybrid Systems

This page was built for publication: Frequency-domain stability conditions for hybrid systems