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CDC
2010
IEEE
216views Control Systems» more  CDC 2010»
13 years 2 months ago
On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions
This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a fini...
Mircea Lazar
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
13 years 9 months ago
Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions
Abstract-- In this paper, we introduce the class of semiseparable kernel functions for use in constructing Lyapunov functions for distributed-parameter systems such as delaydiffere...
Matthew M. Peet, Antonis Papachristodoulou
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 1 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
13 years 2 months ago
Stability analysis of networked control systems: A sum of squares approach
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...
Nicolas William Bauer, Paul J. H. Maas, W. P. M. H...
CDC
2010
IEEE
145views Control Systems» more  CDC 2010»
13 years 2 months ago
Construction of Lyapunov functions for piecewise-deterministic Markov processes
The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], whe...
Alexandre R. Mesquita, João Pedro Hespanha