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Abstract: This paper proposes a method to design a stabilizing control law for a cascade of a possibly unstable linear ordinary differential equation (ODE) and a wave equation. The ODE has connection ...

For certain classes of structured matrices, the eigenvalues can be estimated or even calculated explicitly by means of well-known formulas. Starting from these formulas, in this article we derive ...

There was an error while loading. Please reload this page. The aim of the program is to solve first order, linear differential equations written in the form "y' = Ay ...

Forged in the spirit of racing's golden era, the Linear Giacomo Agostini captures the essence of the 15-time world champion ...

The theoretical analysis and computational implementation of factorization-based methods for the numerical solution of linear boundary value problems for ordinary differential equations are presented.

Abstract: This article deals with the backstepping design of observer-based compensators for parabolic ODE–PDE–ODE systems. The latter consist of $\boldsymbol {n}$ coupled parabolic PDEs with distinct ...

Derivatives of a solution of an ODE Cauchy problem can be computed inductively using the Faà di Bruno formula. In this paper, we exhibit a noninductive formula for these derivatives. At the heart of ...