Add to ORKGThe author shows how Gröbner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamic systems in an optimal way. The method requires the nonlinearities of the system and the Lyapunov function to be of a polynomial type. Some concrete examples of how to apply the method are provided
The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the a...
Abstract: The problem of estimating the domain of attraction (DA) of equilibria of polynomial system...
AbstractWe define optimal Lyapunov functions to study nonlinear stability of constant solutions to r...
The author shows how Gröbner bases can be used when choosing parameters in Lyapunov functions for no...
Some problems within nonlinear control theory are stated and solved using so called Groebner bases f...
The basin of attraction of an equilibrium of an ordinary differential equation can be determined usi...
This paper shows how Gröbner bases can be used to solve some common problems in nonlinear systems th...
Abstract-In this paper, the problem of constructing Lyapunov functions for a class of nonlinear dyna...
AbstractThe basin of attraction of an asymptotically stable fixed point of the discrete dynamical sy...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
AbstractIn [8], the authors used normal form theory to construct Lyapunov functions for critical non...
The basin of attraction of an asymptotically stable fixed point of the dis-crete dynamical system gi...
A relaxation of Lyapunov's direct method has been proposed elsewhere that allows for an algorithmic ...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
The use of Lyapunov's direct method in obtaining regions of asymptotic stability of non-linear auton...
The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the a...
Abstract: The problem of estimating the domain of attraction (DA) of equilibria of polynomial system...
AbstractWe define optimal Lyapunov functions to study nonlinear stability of constant solutions to r...
The author shows how Gröbner bases can be used when choosing parameters in Lyapunov functions for no...
Some problems within nonlinear control theory are stated and solved using so called Groebner bases f...
The basin of attraction of an equilibrium of an ordinary differential equation can be determined usi...
This paper shows how Gröbner bases can be used to solve some common problems in nonlinear systems th...
Abstract-In this paper, the problem of constructing Lyapunov functions for a class of nonlinear dyna...
AbstractThe basin of attraction of an asymptotically stable fixed point of the discrete dynamical sy...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
AbstractIn [8], the authors used normal form theory to construct Lyapunov functions for critical non...
The basin of attraction of an asymptotically stable fixed point of the dis-crete dynamical system gi...
A relaxation of Lyapunov's direct method has been proposed elsewhere that allows for an algorithmic ...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
The use of Lyapunov's direct method in obtaining regions of asymptotic stability of non-linear auton...
The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the a...
Abstract: The problem of estimating the domain of attraction (DA) of equilibria of polynomial system...
AbstractWe define optimal Lyapunov functions to study nonlinear stability of constant solutions to r...