CDC
2010
IEEE
13 years 6 months ago
2010
IEEE
This paper proposes a novel approach to stability analysis and controller synthesis for discrete-time periodically time-varying systems. Firstly, a relaxation of standard Lyapunov ...
CDC
2010
IEEE
13 years 6 months ago
2010
IEEE
This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating time-varying delays and time-varying transmission in...
CDC
2010
IEEE
13 years 6 months ago
2010
IEEE
This paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constrai...
AUTOMATICA
2011
13 years 6 months ago
2011
— Quadratic systems play an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). For such systems it is of mandatory imp...
SIAMCO
2000
13 years 11 months ago
2000
Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz continuity, and H
MCSS
2007
Springer
13 years 11 months ago
2007
Springer
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
AUTOMATICA
2005
13 years 11 months ago
2005
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
AUTOMATICA
2005
13 years 11 months ago
2005
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
SIAMCO
2008
13 years 11 months ago
2008
For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov fun...
MCS
2008
Springer
13 years 11 months ago
2008
Springer
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...