We show that while diagonal Padé approximations preserve quadratic stability when going from continuous-time to discrete-time, the converse is not true. We ...
Nov 16, 2010 · Abstract. In this note we consider the stability preserving properties of diagonal Padé ap- proximations to the matrix exponential.
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of ...
In this paper we prove that all A-stable Padé approximations for the matrix exponential preserve common quadratic Lyapunov functions for switched linear systems ...
In this paper, we focus on the problem of discretising a switched linear system of the form Discretisation of linear switched systems has been studied by a ...
It is well known that the bilinear transform, or first order diagonal Padé approximation to the matrix exponential, preserves quadratic Lyapunov functions ...
approximations to the matrix exponential. We show that while diagonal Padé approximations preserve quadratic stability when going from continuous-time to ...
That is, given a quadratically stable switched linear system, a discrete-time counterpart obtained using diagonal Padé approximations to the matrix ...
We show that while diagonal Padé approximations preserve quadratic stability when going from continuous-time to discrete-time, the converse is not true. We ...
I. INTRODUCTION. Discretization methods play an important role in simu- lation and digital control of physical systems. Thus, it is.