This paper is devoted to nonlinear feedback design for irrigation canals. Such systems are classically described by Saint-Venant nonlinear partial differential equations. Here instead, an ordinary differential equation model (still nonlinear) with a state-dependent input delay is used, on the basis of a model previously proposed in Litrico et al [2003]. The control design approach is based on a...

Time-dependent Lyapunov functionals appeared to be very efficient for sampled-data systems. Recently, new Lyapunov functionals were constructed for sampled-data control in the presence of a constant input delay. The construction of these functionals was based on Wirtinger’s inequality leading to simplified and efficient stability conditions in terms of linear matrix inequalities . In this artic...

This paper considers sampled-data control of linear systems under uncertain sampling with the known upper bound on the sampling intervals. Recently a discontinuous Lyapunov function method was introduced by using impulsive system representation of the sampled-data systems (Naghshtabrizi, Hespanha, & Teel, 2008). The latter method improved the existing results, based on the input delay approach ...

Suboptimálne riadenie systému s oneskorením na vstupe implicitným modelom The stabilization by feedback control of systems with input delays may be considered in various frameworks. In this paper the problem of implicit model following for input delay systems via optimal control is approached. The optimal control is implemented by piecewise constant signals that make it suboptimal. The simulati...

This study analyses some political factors determining budget deficit in Pakistan. It examines the short and long-run relationship between the Budget deficit, democracy and cabinet size for Pakistan’s economy. The bounds testing approach to co-integration and (ECM) error-correction models, developed within an autoregressive distributed lag (ARDL) framework is applied to annual data for the peri...

The flash-lag effect refers to the phenomenon in which a flash adjacent to a continuously moving object is perceived to lag behind it. Phenomenally, the flash appears to be spatially shifted relative to the moving stimulus, and the amount of lag has often been quantified as the flash's nulling position, which is the physical spatial offset needed to establish perceptual alignment. The present s...

2010 Acknowledgement The study embraces the last two decades I worked for the Institute of Food Research, UK. For the opportunity to become a research scientist, I am indebted to Dr Terry Roberts, the former head of the Microbiology Department there, who decided that further advances in food microbiology was impossible without a dedicated mathematician.

The effect of the global financial crisis on the international trade patterns of developed countries has been one of the main focuses of recent studies. However, the dependence level of world trade on emerging markets increases every day. Therefore, it is important to study the level of the negative effect of the crisis on emerging economies and the level of their recovery potential. This paper...

The application of the Sliding Mode Thermal Control to dryer station furnace facility in agriculture productions is proposed. An adaptive controller is designed based on results obtained in the sphere of discontinuous system design. The derived Sliding Mode (SM) control algorithm written in Lab View environment should improve the control performance of the important characteristic of systems su...