Sparse identification of nonlinear dynamical systems is an important project, directly addressing the physics community’s long-standing goal of data-driven discovery. Although many effective methods ...

Cart-pole swing-up: Find the force profile to apply to the cart to swing-up the pendulum that freely hanges from it. Compute the gait (joint angles, rates, and torques) for a walking robot that ...

Basic Luenberger observer implementation for both continuous-time and discrete-time LTI systems. Demonstrates observer gain design via pole placement and the ...

Abstract: In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a ...

In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...

Abstract: This paper presents dynamical modeling and control of the payload swing of the gantry crane. The modeling is done in two dimensions using the Lumped Mass-Model. Two methods are used for the ...

We sense, move, and think by dynamical interactions between neurons. It is now possible to simultaneously record from many individual neurons and brain regions. Methods for analyzing these large-scale ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

The heart rate regulation system was conceptualized as a complex network, with non-linear feedforward and feedback inputs. This system exhibits chaotic and non-linear dynamics, due to interactions ...