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CDC
2008
IEEE
146views Control Systems» more  CDC 2008»
13 years 11 months ago
Control formula for nonlinear systems subject to convex input constraints using control Lyapunov functions
— In this paper, we propose a two-step controller design method with control Lyapunov functions (CLFs) for nonlinear systems with convex input constraints. In the first step, we...
Yasuyuki Satoh, Hisakazu Nakamura, Nami Nakamura, ...
CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
12 years 12 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
CDC
2009
IEEE
200views Control Systems» more  CDC 2009»
13 years 9 months ago
Control of nonlinear systems with full state constraint using a Barrier Lyapunov Function
— This paper presents a control for state-constrained nonlinear systems in strict feedback form to achieve output tracking. To prevent states from violating the constraints, we e...
Keng Peng Tee, Shuzhi Sam Ge
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 years 9 months ago
Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach
Lyapunov-Krasowskii functionals are used to design quantized continuous-time control laws for nonlinear systems in the presence of time-invariant pointwise delays in the input. Th...
Claudio De Persis, Frédéric Mazenc