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ISCAS
2005
IEEE
179views Hardware» more  ISCAS 2005»
13 years 10 months ago
Robust stabilization of control systems using piecewise linear Lyapunov functions and evolutionary algorithm
— Piecewise linear Lyapunov functions are used to design control gain matrices so that closed systems are robust stable and attractive regions are expanded as large as possible i...
K. Tagawa, Y. Ohta
HYBRID
2009
Springer
13 years 12 months ago
Decompositional Construction of Lyapunov Functions for Hybrid Systems
In this paper, we present an automatable decompositional method for the computation of Lyapunov functions for hybrid systems with complex discrete state spaces. We use graph-based ...
Jens Oehlerking, Oliver E. Theel
AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 5 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
13 years 5 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
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 ...
Michael Malisoff, Frédéric Mazenc
HYBRID
2007
Springer
13 years 11 months ago
A Controller Design Method Under Infrequent, Asynchronous Sensing
Abstract. We use discrete quadratic Lyapunov functions to design controllers for a class of systems where time intervals between state measurements are longer than time intervals b...
Fumin Zhang, Naomi Ehrich Leonard