Direct and converse Lyapunov theorems for functional difference systems
From MaRDI portal
Publication:2342429
DOI10.1016/j.automatica.2014.10.048zbMath1309.93115OpenAlexW2068928510MaRDI QIDQ2342429
Publication date: 28 April 2015
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2014.10.048
Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Difference equations, scaling ((q)-differences) (39A13)
Related Items (15)
Stability Analysis of Linear Delay Systems via Internally Positive Representations: An Overview ⋮ Razumikhin and Krasovskii stability theorems for time-varying time-delay systems ⋮ Stabilization of retarded systems of neutral type by control Lyapunov-Krasovskii functionals ⋮ Improved Razumikhin and Krasovskii approaches for discrete-time time-varying time-delay systems ⋮ Lyapunov-Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form ⋮ Memoryless linear feedback control for a class of upper-triangular systems with large delays in the state and input ⋮ New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays ⋮ On Disturbance-to-State Adaptive Stabilization without Parameter Bound by Nonlinear Feedback of Delayed State and Input ⋮ Lyapunov functionals for linear continuous-time difference systems: a single delay case ⋮ Dynamic partial state feedback control of cascade systems with time-delay ⋮ On strong stability and robust strong stability of linear difference equations with two delays ⋮ Adaptive control of time-delay cascade systems with unknown parameters by partial state feedback ⋮ On Lyapunov functionals for linear functional difference equations ⋮ Razumikhin and Krasovskii methods for asymptotic stability of nonlinear delay impulsive systems on time scales ⋮ A note on stability of functional difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
- Input-to-output stability for systems described by retarded functional differential equations
- Lyapunov criteria for stability in \(L_{p}\) norm of special neutral systems
- Exponential stability of some linear continuous time difference systems
- Nash equilibrium and robust stability in dynamic games: a small-gain perspective
- Stability and stabilization of nonlinear systems.
- On characterizations of the input-to-state stability property
- On the asymptotic stability of coupled delay differential and continuous time difference equations
- Time-delay systems. Lyapunov functionals and matrices
- Stability results for systems described by coupled retarded functional differential equations and functional difference equations
- Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels
- Stability problem of systems with multiple delay channels
- On the Lyapunov-Krasovskii methodology for the ISS of systems described by coupled delay differential and difference equations
- Comments on integral variants of ISS
- Introduction to functional differential equations
- About Lyapunov functionals construction for difference equations with continuous time.
- Stability of linear descriptor systems with delay: a Lyapunov-based approach
- On quadratic Liapunov functionals for linear difference equations
- Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations
- Exponential stability of linear continuous time difference systems with multiple delays
- Discretized LKF method for stability of coupled differential-difference equations with multiple discrete and distributed delays
- Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form
- Neutral functional differential equations in Lp-spaces and averaging approximations
- Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems
- A new Lyapunov–Krasovskii methodology for coupled delay differential and difference equations
- Input‐output linearization with delay cancellation for nonlinear delay systems: the problem of the internal stability
- The Liapunov's second method for continuous time difference equations
- Methods for linear systems of circuit delay differential equations of neutral type
- Oscillations in lossless propagation models: a Liapunov-Krasovskii approach
- New characterizations of input-to-state stability
- Smooth stabilization implies coprime factorization
- Spline Approximations for Neutral Functional Differential Equations
- Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
- Input-to-State Stabilization of Stabilizable, Time-Delay, Control-Affine, Nonlinear Systems
- On the stability of coupled delay differential and continuous time difference equations
- Applied Delay Differential Equations
- Input-to-state stability for discrete-time nonlinear systems
- A converse Lyapunov theorem for discrete-time systems with disturbances
This page was built for publication: Direct and converse Lyapunov theorems for functional difference systems
