Separable Lyapunov functions for monotone systems: constructions and limitations
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Publication:258406
DOI10.3934/dcdsb.2015.20.2497zbMath1338.34102OpenAlexW1059638856MaRDI QIDQ258406
Hiroshi Ito, Gunther Dirr, Björn S. Rüffer, Anders Rantzer
Publication date: 10 March 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.2497
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Monotone systems involving ordinary differential equations (34C12)
Related Items (14)
On the existence of a common Lyapunov function for a family of nonlinear positive systems ⋮ Diagonal Riccati Stability of a Class of Complex Systems and Applications ⋮ On the nonchaotic nature of monotone dynamical systems ⋮ Interval observer of minimal error dynamics ⋮ Convergence conditions for some classes of nonlinear systems ⋮ New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays ⋮ Small-gain stability theorems for positive Lur'e inclusions ⋮ On the existence of diagonal Lyapunov-Krasovskii functionals for a class of nonlinear positive time-delay systems ⋮ Stability of Abstract Interconnected Systems with a Possibly Unstable Component ⋮ Converse stability theorems for positive linear time-varying systems ⋮ A contractive approach to separable Lyapunov functions for monotone systems ⋮ An intuitive modification of max-separable Lyapunov functions to cover non-ISS systems ⋮ Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases ⋮ Contraction analysis of virtually positive systems
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