A modified homogenized highly precise direct integration method for time-varying nonhomogeneous systems

A Modified Multi Time Step Integration for Dynamic Analysis

In this paper new implicit higher order accuracy (N-IHOA) time integration based on assumption of constant time step is presented for dynamic analysis. This method belongs to the category of the multi time step integrations. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes...

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Moderate Deviations for Time-varying Dynamic Systems Driven by Nonhomogeneous Markov Chains with Two-time Scales∗

Motivated by problems arising in time-dependent queues and dynamic systems with random environment, this work develops moderate deviations principles for dynamic systems driven by a fast-varying nonhomogeneous Markov chain in continuous time. A distinct feature is that the Markov chain is time dependent or inhomogeneous so are the dynamic systems. Under irreducibility of the nonhomogeneous Mark...

A New Method for Time-Delay Compensation in Control Systems

In this paper a new method is introduced and investigated for removing the destabilizing effects of time-delay parameter in control loops. The concept of the method is taken from the knowledge concerning the dynamic behaviour of irrational transfer functions (Ir-TF), which is discussed and investigated elswhere in frequency response domain and is explained briefly here. Ir-TFs, which are we...

A modified Next Reaction Method for simulating systems with time varying rate constants and systems with delays

Biochemical reaction systems with a low to moderate number of molecules are typically modeled as discrete jump Markov processes. These systems are oftentimes simulated using the Gillespie Algorithm or the Next Reaction Method, which are exact simulation methods. In this paper we make explicit use of the fact that the initiation times of each reaction are given by the firing times of an independ...