This technical article investigates the linear quadratic regulator (LQR) design for continuous-time positive systems. Based on systems theory and Lyapunov theory, solvability optimality of positivity-preserving LQR problem are analyzed through lens optimization, two projection theorems derived single-input multi-input systems, respectively, which paves way developing a projected gradient descen...

In this paper, we propose an efficient numerical method for a comprehensive infection model that is formulated by system of nonlinear coupling advection-diffusion-reaction equations. Using some subtle mixed explicit-implicit treatments, construct linearized and decoupled discrete scheme. Moreover, the proposed scheme capable preserving positivity variables, which essential requirement under con...

For a class of integral operators it is shown that if the integral kernel of one operator majorates the kernel of the other one then certain forms of eigenvalue estimates are inherited. The operators must be related to a positivity preserving semi-group and, respectively, a positively dominated semi-group. It follows, in particular, that any, suuciently regular, eigenvalue estimate for the Schr...

In this study, a family of second order process based modified Patankar Runge-Kutta schemes is proposed with both the mass and mole maintained in balance while preserving positivity density pressure time step determined by convection terms. The accuracy analysis conducted to derive sufficient necessary conditions for coefficients. Coupling finite volume method, are extended Euler equations non-...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 18 May 2020Accepted: 04 June 2021Published online: 09 September 2021Keywordsfinite difference, Maxwell--Stefan systems, cross-diffusion, positivity-preserving, energy dissipationAMS Subject Headings35K55, 35Q79, 65M06, 35L45Publication DataISSN (print): 0036-1429ISSN (onl...