Finite Time Engineering
نویسنده
چکیده
All microprocessor based electronic systems are designed as repetition of finite time activities. The classical infinite Laplace transform (ILT) theory violates this fundamental requirement of engineering systems. We show that this theory assumes that all signals must exist over the entire infinite time interval. Since in engineering this infinite time assumption is not meaningful, this paper presents a modeling, analysis, and design approach for linear time invariant systems using the theory of the finite Laplace transform (FLT). Index Terms – Convolution, finite Laplace transforms, linear systems, numerical inversion.
منابع مشابه
Optimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملHybrid differential transform-finite difference solution of 2D transient nonlinear annular fin equation
In the present paper, hybrid differential transform and finite difference method (HDTFD) is applied to solve 2D transient nonlinear straight annular fin equation. For the case of linear heat transfer the results are verified with analytical solution. The effect of different parameters on fin temperature distribution is investigated. Effect of time interval of differential transform on the stabi...
متن کاملSecond Order Sliding Mode Control With Finite Time Convergence
In this paper, a new smooth second order sliding mode control is proposed. This algorithm is a modified form of Super Twisting algorithm. The Super Twisting guarantees the asymptotic stability, but the finite time stability of proposed method is proved with introducing a new particular Lyapunov function. The Proposed algorithm which is able to control nonlinear systems with matched structured u...
متن کاملGlobal Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control
In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...
متن کاملAn efficient finite difference time domain algorithm for band structure calculations of Phononic crystal
In this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. At first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. So the new algorithm is called the displacement-based finite difference time domain (DBFDTD). Three numerical examples are computed with this met...
متن کاملTwo-warehouse system for non-instantaneous deterioration products with promotional effort and inflation over a finite time horizon
In the current global market, organizations use many promotional tools to increase their sales. One such tool is sales teams’ initiatives or promotional policies, i.e., free gifts, discounts, packaging, etc. This phenomenon motivates the retailer/or buyer to order a large inventory lot so as to take full benefit of promotional policies. In view of this the present paper considers a two-warehous...
متن کامل