in this paper, sufficient conditions are proposed to investigate the robust stability of arbitrary switched linear systems with uncertain parameters belongs to the known intervals. in addition, a method is then established to determine the maximum intervals of parameters' variations which guarantee robust exponential stability of uncertain switched linear systems under arbitrary switching. in t...

We consider the simulation of steady-state variably saturated groundwater flow using Richards’ equation (RE). The difficulties associated with solving RE numerically are well known. Most discretization approaches for RE lead to nonlinear systems that are large and difficult to solve. The solution of nonlinear systems for steadystate problems can be particularly challenging, since a good initial...

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This paper presents a pseudo-equivalence of digital fuzzy PID controllers with linear PID controllers in the continuous time domain. Transfer functions and equivalence relations between controller’s parameters are obtained for the common structures of the fuzzy PID controllers. The pseudo-equivalence is made using a graphic analytical analysis based on the input-output transfer characteristics ...

In this paper, the linear-quadratic optimal control problem is considered for discretetime stochastic systems with indefinite weight matrices in the cost function and mean-field terms in both the cost function and system dynamics. A set of generalized difference Riccati equations (GDREs) is introduced in terms of algebraic equality constraints and matrix pseudo-inverse. It is shown that the sol...

We discuss model reduction of multiscale networks of biochemical reactions used in systems biology as models for cell physiology and pathology. For linear kinetic models, which appear as ”pseudo-monomolecular” subsystems of the nonlinear reaction networks, we obtain a general reduction algorithm based on cycle averaging and surgery. The same algorithm, when applied to stochastic networks, allow...

The simplest (2+1)-dimensional mechanical systems associated with light-like curves, already studied by Nersessian and Ramos, are reconsidered. The action is linear in the curvature of the particle path and the moduli spaces of solutions are completely exhibited in 3-dimensional Minkowski background, even when the action is not proportional to the pseudo-arc length of the trajectory. PACS numbe...