‎‎in this article‎, ‎a new method is introduced to give approximate solution to van der pol equation‎. ‎the proposed method is based on the combination of two different methods‎, ‎the spectral adomian decomposition method (sadm) and piecewise method‎, ‎called the piecewise adomian decomposition method (psadm)‎. ‎the numerical results obtained from the proposed method show that this method is an...

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...

The recently developed technique for computation of piecewise quadratic Lyapunov functions is specialized to Lyapunov functions that are piecewise linear. This establishes a unified framework for computation of quadratic, piecewise quadratic, piecewise linear and polytopic Lyapunov functions. The search for a piecewise linear Lyapunov function is formulated as a linear programming problem, and ...

Traditional portfolio insurance (PI) strategy, such as CPPI, only considers the floor constraint but not the goal aspect. This paper proposes a goal-directed (GD) strategy to express an investor’s goal-directed trading behavior and combines this floor-less GD strategy with the goal-less CPPI strategy to form a piecewise linear goal-directed CPPI (GDCPPI) strategy. In addition, we extend the pie...

in this paper an approach based on evolutionary algorithms to find pareto optimal pair of state and control for multi-objective optimal control problems (moocp)'s is introduced‎. ‎in this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using ...

The security of images has become a hot research area due to the widespread usage digital all over world. Literature review on chaotic image cryptography, other hand, indicates that many constructs have been employed for realization confusion operation while developing ciphers. To enhance computational time, this study proposes novel cipher based two maps and rectangle as scrambler. As given gr...

By adopting the technique of pre-regulator, a high PSRR and low temperature coefficient piecewise-linear bandgap reference (BGR) is designed for analog and mixed-signal application in this paper. The piecewise-linear BGR with pre-regulator, which is analyzed and simulated in SMIC 0.18μm CMOS process, has simple circuit architecture. Simulation results show that piecewise-linear BGR with pre-reg...