... catastrophic failures. 20 10 2009 02 07 2010 16 12 2010 16 12 2010 approximation theory closed loop systems discrete systems feedback linear systems nonlinear control systems nonlinear differential equations partial differential equations piezoelectric actuators plates...

... for the system. Examples are presented to illustrate the method for both continuous and hybrid systems. 10 01 2008 26 09 2008 19 05 2009 continuous systems discrete systems kinematics linearisation techniques nonlinear equations Linearized equations of motion do not embody...

... to describe the traffic flow system that is too complex for traditional techniques. chaos discrete dynamic model traffic flow Lyapunov exponents fractal dimension discrete systems nonlinear dynamical systems road traffic 28 05 2007 13 08 2007 04 02 2008 2008...

... discrete systems nonlinear dynamical systems phase space methods variational techniques Fractional calculus has many applications in several areas such as thermal engineering, control, diffusion, edge detection, electromagnetism, acoustics, robotics, and so on ( 1 2 3 4 5 6 7 8 9 10 11...

... functions are weak Lyapunov functions and well-approximate a continuous Lyapunov function for the underlying map. phase space methods combinatorial mathematics mesh generation computational complexity discrete systems Lyapunov methods Proof. Let A be an attractor. Then F...