𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A generalized Lyapunov theorem for descriptor system

✍ Scribed by Kiyotsugu Takaba; Naoki Morihira; Tohru Katayama


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
153 KB
Volume
24
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Generalized Lyapunov and invariant set t
✍ VijaySekhar Chellaboina; Alexander Leonessa; Wassim M. Haddad πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 103 KB

In this paper we develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems wherein all regularity assumptions on the Lyapunov function and the system dynamics are removed. In particular, local and global stability theorems are given using lower semicontinuous Lyapunov f

A converse Lyapunov theorem for nonlinea
✍ J.L. Mancilla-Aguilar; R.A. Garcı́a πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 95 KB

In this paper we present a converse Lyapunov theorem for uniform asymptotic stability of switched nonlinear systems. Its proof is a simple consequence of some results on converse Lyapunov theorems for systems with bounded disturbances obtained by Lin et al. (SIAM J. Control Optim. 34 (1996) 124 -160

A converse Lyapunov theorem for discrete
✍ Zhong-Ping Jiang; Yuan Wang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 138 KB

This paper presents a converse Lyapunov theorem for discrete-time systems with disturbances taking values in compact sets. Among several new stability results, it is shown that a smooth Lyapunov function exists for a family of time-varying discrete systems if these systems are robustly globally asym