In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers s...

In this paper, Haar wavelet operational matrix method is proposed to solve a class of fractional partial differential equations. We derive the Haar wavelet operational matrix of fractional order integration. Meanwhile, the Haar wavelet operational matrix of fractional order differentiation is obtained. The operational matrix of fractional order differentiation is utilized to reduce the initial ...

Solving a system of linear equations by its normal equation usually is highly unrecommended because this approach worsens the condition number and inflates the computational cost. For linear systems whose unknowns are matrices, such as the Sylvester equation, Lyapunov equation, Stein equation, and a variate of their generalizations, the formulation of the corresponding normal equation in the se...

In an uncoupled lattice, the Kapchinskij-Vladimirskij (KV) distribution function first analyzed in 1959 is the only known exact solution of the nonlinear Vlasov-Maxwell equations for high-intensity beams including self-fields in a self-consistent manner. The KV solution is generalized here to high-intensity beams in a coupled transverse lattice using the recently developed generalized Courant-S...

Descriptor systems constitute an important class of systems of both theoretical and practical interests and have been attracting the attention of many researchers over recent decades. This dissertation is concerned with non-standard H2 and H∞ control for linear time-invariant descriptor systems. Within the descriptor framework, the contributions of this dissertation are threefold: i) review of ...

In this study we develop high order numerical methods to capture the spatiotemporal dynamics of a generalized Kolmogorov-Petrovskii-Piskunov (KPP) equation characterized by density dependent non-linear diffusion. Towards this direction we consider third order Strong Stability Preserving Runge-Kutta (SSPRK) temporal discretization schemes coupled with the fourth order Hermite cubic Collocation (...

This paper addresses the problem of identifying graph structure a dynamical network using measured input/output data. is known as topology identification and has received considerable attention in recent literature. Most existing literature focuses on for networks with node dynamics modeled by single integrators or single-input single-output (SISO) systems. The goal current to identify more gen...

Many Krylov subspace methods for shifted linear systems take advantage of the invariance of the Krylov subspace under a shift of the matrix. However, exploiting this fact in the non-Hermitian case introduces restrictions; e.g., initial residuals must be collinear and this collinearity must be maintained at restart. Thus we cannot simultaneously solve shifted systems with unrelated right-hand si...