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CDC
2010
IEEE
164views Control Systems» more  CDC 2010»
13 years 2 months ago
Stabilization of polytopic delay difference inclusions: Time-varying control Lyapunov functions
This paper studies stabilization of polytopic delay difference inclusions via the Razumikhin approach. An example of a linear delay difference equation that is globally exponential...
Rob H. Gielen, Mircea Lazar
AUTOMATICA
2011
13 years 2 months ago
Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions
— Quadratic systems play an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). For such systems it is of mandatory imp...
Francesco Amato, Francesco Calabrese, Carlo Cosent...
ISCAS
2005
IEEE
179views Hardware» more  ISCAS 2005»
14 years 1 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
MCSS
2007
Springer
13 years 7 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic