Computation of non-monotonic Lyapunov functions for continuous-time systems
From MaRDI portal
Publication:2007360
DOI10.1016/j.cnsns.2017.02.017OpenAlexW2589273562MaRDI QIDQ2007360
Publication date: 14 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.02.017
Calculus of variations and optimal control; optimization (49-XX) Operations research, mathematical programming (90-XX)
Related Items
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions ⋮ Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions ⋮ Finite-time Lyapunov functions and impulsive control design ⋮ Input-to-state stability of continuous-time systems via finite-time Lyapunov functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computation of local ISS Lyapunov functions with low gains via linear programming
- A compendium of comparison function results
- Linear programming based Lyapunov function computation for differential inclusions
- Comments on integral variants of ISS
- An alternative converse Lyapunov theorem for discrete-time systems
- Revised CPA method to compute Lyapunov functions for nonlinear systems
- On Liapounoff's conditions of stability
- Relaxed ISS Small-Gain Theorems for Discrete-Time Systems
- Can we prove stability by using a positive definite function with non sign-definite derivative?
- Computation of Lyapunov functions for nonlinear discrete time systems by linear programming
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- A new asymptotic stability criterion for nonlinear time-variant differential equations
- A Smooth Converse Lyapunov Theorem for Robust Stability
- On the inversion of Ljapunov's second theorem on stability of motion. [Continuation]
