Abstract: This brief deals with the design of discrete sliding mode control incorporating difference equation with minima. It discusses two reaching laws having hybrid structure with respect to Gao’s ...

Abstract: Finite-time stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Sufficient conditions for finite-time stability have recently been ...

It feels so obvious that time moves forward that questioning it can seem almost pointless. This article was originally published at The Conversation. The publication contributed the article to ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

The Julia library SummationByPartsOperators.jl provides a unified interface of different discretization approaches including finite difference, Fourier pseudospectral, continuous Galerkin, and ...

The Modelica_LinearSystems2 library is a Modelica package providing different representations of linear, time invariant differential and difference equation systems. For example, record StateSpace ...

Discover how Einstein’s theory of special relativity reshaped physics by linking space, time, mass, and energy in a universe governed by the speed of light. When you purchase through links on our site ...

Several derivative and integral approximations are explored for discretizing the Nakajima–Zwanzig generalized quantum master equation (NZ-QME or GQME) to obtain discrete quantum master equation (DQME) ...

For the conventional staggered-grid finite-difference scheme (C-SFD), although the spatial finite-difference (FD) operator can reach 2M th-order accuracy, the FD discrete wave equation is the only ...

For any symmetry in a Hamiltonian system, its spontaneous breaking in the ground state leads to a phase transition 11. The broken symmetry itself can assume many different forms. For example, the ...

In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s ...