A fundamental theory of deterministic linear-quadratic (LQ) control is the equivalent relationship between problems, two-point boundary value and Riccati equations. In this paper, we extend equivalence to a general time-inconsistent LQ problem, where inconsistency arises from nonexponential discount functions. By studying solvability equation, show existence uniqueness linear equilibrium for pr...

In this study Response Surface Methodology was used to optimize process conditions and to evaluate the effect of ultrasound on quality attributes (antioxidant activity, pH, total soluble solid, turbidity) and the inactivation of Escherichia coli bacteria in carrot juice. Independent variables in this study were temperature (25-50°C), time (20-40 min) and frequency (0-130 kHz). In this study the...

In this study Response Surface Methodology was used to optimize process conditions and to evaluate the effect of ultrasound on quality attributes (antioxidant activity, pH, total soluble solid, turbidity) and the inactivation of Escherichia coli bacteria in carrot juice. Independent variables in this study were temperature (25-50°C), time (20-40 min) and frequency (0-130 kHz). In this study the...