Book ChapterDOI
Time Varying System Analysis: State Space Approach
Anish Deb,Srimanti Roychoudhury,Gautam Sarkar +2 more
- pp 221-239
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TLDR
In this article, a time varying system analysis is presented using state space approach in hybrid function domain, both homogeneous and non-homogeneous systems are treated along with numerical examples.Abstract:
In this chapter, time varying system analysis is presented using state space approach in hybrid function domain. Both homogeneous and non-homogeneous systems are treated along with numerical examples. States and outputs of the systems are solved. Illustration has been provided with the support of five examples, six figures and nine tables.read more
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Book
Modern control engineering
TL;DR: This comprehensive treatment of the analysis and design of continuous-time control systems provides a gradual development of control theory and shows how to solve all computational problems with MATLAB.
Journal ArticleDOI
New Runge-Kutta Algorithms for Numerical Simulation in Dynamical Astronomy
J. R. Dormand,P. J. Prince +1 more
TL;DR: In this article, the Runge-Kutta and runge-kutta-nystrom algorithms are compared with others in integrating the equations of motion of the two body problem and are shown to offer advantages in efficiency.
Journal ArticleDOI
Modified Runge-Kutta methods for the numerical solution of ODEs with oscillating solutions
TL;DR: Three new modified Runge-Kutta methods with minimal phase-lag are developed for the numerical solution of ordinary differential equations with oscillating solutions of order five based on the well-known Dormand and Prince RK5(4)T method.
Journal ArticleDOI
Approximation, integration and differentiation of time functions using a set of orthogonal hybrid functions (HF) and their application to solution of first order differential equations
TL;DR: A new set of orthogonal hybrid functions (HF) which evolved from synthesis of sample-and-hold functions (SHF) and triangular functions (TF) is proposed which is used to approximate a time function in a piecewise linear manner with the mean integral square error (MISE) much less than block pulse function based approximation which always provides staircase solutions.
Journal ArticleDOI
Analysis and Synthesis of Homogeneous / Non-Homogeneous Control Systems via Orthogonal Hybrid Functions (HF) under State Space Environment
TL;DR: In this paper, a new set of hybrid functions (HF) formed by the synthesis of sample-and-hold functions (SHF) and triangular functions (TF) is proposed.