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CDC
2010
IEEE
124views Control Systems» more  CDC 2010»
13 years 2 months ago
A relaxation of Lyapunov conditions and controller synthesis for discrete-time periodic systems
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 ...
Christoph Bohm, Mircea Lazar, Frank Allgöwer
AUTOMATICA
2006
118views more  AUTOMATICA 2006»
13 years 7 months ago
Diagonal stability of a class of cyclic systems and its connection with the secant criterion
We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a...
Murat Arcak, Eduardo D. Sontag
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
2010
IEEE
129views Control Systems» more  CDC 2010»
13 years 2 months ago
On parameterized Lyapunov and control Lyapunov functions for discrete-time systems
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...
Mircea Lazar, Rob H. Gielen
HYBRID
2009
Springer
13 years 12 months ago
Stabilization of Discrete-Time Switched Linear Systems: A Control-Lyapunov Function Approach
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse c...
Wei Zhang, Alessandro Abate, Jianghai Hu