Linear matrix inequalities for analysis and control of linear vector second-order systems

Linear Matrix Inequalities for Analysis and Control of Linear Vector Second-Order Systems

Inequalities for Complex Linear Differential Systems of the Second Order.

where a, f3, y, 6 are complex valued functions of the real variable t. These functions are assumed to be of class C' on some interval, to _ t < T, where T may be c. We also restrict attention to the "general case" in which A = (6 a)2 + 40ry 5 0 and y $ 0 on this interval. The inequalities obtained are the best possible ones of their type and are especially adapted to the case in which a, ,B, y,...

Optimization on linear matrix inequalities for polynomial systems control

Many problems of systems control theory boil down to solving polynomial equations, polynomial inequalities or polyomial differential equations. Recent advances in convex optimization and real algebraic geometry can be combined to generate approximate solutions in floating point arithmetic. In the first part of the course we describe semidefinite programming (SDP) as an extension of linear progr...

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Sequential second derivative general linear methods for stiff systems

‎Second derivative general linear methods (SGLMs) as an extension‎ ‎of general linear methods (GLMs) have been introduced to improve‎ ‎the stability and accuracy properties of GLMs‎. ‎The coefficients of‎ ‎SGLMs are given by six matrices‎, ‎instead of four matrices for‎ ‎GLMs‎, ‎which are obtained by solving nonlinear systems of order and‎ ‎usually Runge--Kutta stability conditions‎. ‎In this p...