This technical note has been motivated by the need to assess the preservation of polyhedral Lyapunov functions for stable continuous time linear systems under numerical discretization of the transition matrix. This problem arises when discretizing linear systems in such a manner as to preserve a certain type of stability of the discrete time approximation. Our main contribution is to show that a continuous-time system and its Padé discretization (of any order and sampling) always share at least one common piecewise linear (polyhedral) Lyapunov functio
In this paper we consider the finite-time stability problem for linear systems. Differently from pr...
This paper considers the synthesis of polyhedral Lyapunov functions for continuous-time dynamical sy...
In this study, the authors consider the finite-time stability (FTS) problem for linear systems. Diff...
This technical note has been motivated by the need to assess the preservation of polyhedral Lyapuno...
This technical note has been motivated by the need to assess the preservation of polyhedral Lyapunov...
This paper has been motivated by the need of assessing the possible preservation of polyhedral Lyapu...
Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant s...
Abstract—Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-inv...
In this article, the authors study the robustness analysis problem for linear continuous-time system...
In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems ...
In this paper we study the robustness analysis problem for linear continuous-time systems subject to...
This paper is concerned with piecewise-linear functions as Lyapunov function candidates for stabilit...
In this paper we consider the finite-time stability problem for linear systems. Differently from pr...
This paper considers the synthesis of polyhedral Lyapunov functions for continuous-time dynamical sy...
In this study, the authors consider the finite-time stability (FTS) problem for linear systems. Diff...
This technical note has been motivated by the need to assess the preservation of polyhedral Lyapuno...
This technical note has been motivated by the need to assess the preservation of polyhedral Lyapunov...
This paper has been motivated by the need of assessing the possible preservation of polyhedral Lyapu...
Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant s...
Abstract—Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-inv...
In this article, the authors study the robustness analysis problem for linear continuous-time system...
In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems ...
In this paper we study the robustness analysis problem for linear continuous-time systems subject to...
This paper is concerned with piecewise-linear functions as Lyapunov function candidates for stabilit...
In this paper we consider the finite-time stability problem for linear systems. Differently from pr...
This paper considers the synthesis of polyhedral Lyapunov functions for continuous-time dynamical sy...
In this study, the authors consider the finite-time stability (FTS) problem for linear systems. Diff...