Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems
DOI10.1186/s13662-015-0494-7zbMath1422.34154OpenAlexW2152449508WikidataQ59404219 ScholiaQ59404219MaRDI QIDQ1625511
Tomomi Soeda, Masakazu Onitsuka
Publication date: 29 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0494-7
Lyapunov functionexponential stabilityuniform asymptotic stabilityconverse theoremhalf-linear differential system
Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)
Related Items
Cites Work
- Oscillatory properties of half-linear difference equations: two-term perturbations
- Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian
- Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive
- Uniform asymptotic stability for damped linear oscillators with variable parameters
- Rectifiable oscillations in second-order half-linear differential equations
- Contributions to stability theory
- Stability by Liapunov's direct method. With applications
- A nonoscillation theorem for half-linear differential equations with periodic coefficients
- Linearized Riccati technique and (non-)oscillation criteria for half-linear difference equations
- Global attractivity for half-linear differential systems with periodic coefficients
- Constructions of strict Lyapunov functions
- Stability and periodic solutions of ordinary and functional differential equations
- Stability of linear systems: Some aspects of kinematic similarity
- On the uniform attractivity of solutions of ordinary differential equations by two Lyapunov functions
- Stability theory and the existence of periodic solutions and almost periodic solutions
- On some analogs of Sturm's and Kneser's theorems for nonlinear systems
- Stability theory by Liapunov's direct method
- Oscillatory behavior of second-order half-linear damped dynamic equations
- Conditional oscillation of half-linear differential equations with coefficients having mean values
- Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations
- De Haan type increasing solutions of half-linear differential equations
- Stability of dynamical systems. Continuous, discontinuous, and discrete systems
- Growth conditions for uniform asymptotic stability of damped oscillators
- An introduction to ordinary differential equations
- Differential equations: Stability, oscillations, time lags
- Perturbing uniform asymptotically stable nonlinear systems
- Non-uniform asymptotic stability for the damped linear oscillator
- 6 Stability, Told by Its Developers
- Uniform global asymptotic stability for half-linear differential systems with time-varying coefficients
- Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients
- Single Variable Differential and Integral Calculus
- Ordinary Differential Equations
- Liapunov functions and stability in control theory
- Impulsive control theory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
