This paper focuses on the synthesis problem of delayand its time derivative dependent robust and reliable stabilization for linear time-delay systems with norm-bounded parameter uncertainty in the state and delayed-state matrices and also with actuator failures among a pre-specified subset of actuators. An LMI (Linear Matrix Inequality) method is given for the delay and its time-derivative depe...

We study matrix generalizations of derivative nonlinear Schrödinger-type equations, which were shown by Olver and Sokolov to possess a higher symmetry. We prove that two of them are ‘C-integrable’ and the rest of them are ‘S-integrable’ in Calogero’s terminology. PACS numbers: 02.10Jf, 02.30.Jr, 03.65.Ge, 11.30.-j Submitted to: Inverse Problems † E-mail address: [email protected]...

This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau method such that bases used are interpolating scaling functions (ISFs). The operational metrics derivative operator integration introduce matrix Caputo derivative. Due some characteristics of ISFs, as interpolation, computation costs ca...

An explicit formula based on matrix algebra to approximate the diagonal entries of a Hessian with any number sample points is introduced. When derivative-free technique called generalized centered simplex gradient used gradient, then can be computed for only one additional function evaluation. error bound introduced and provides information form set that should matrix. If built in specific mann...

This paper presents an extension of impedance control robots based on fractional calculus. In classical control, the end-effector reactions are proportional to position errors through stiffness matrix K, while damping is first-order time-derivative coordinate D. proposed approach, a half-derivative added, half-order HD. The discrete-time digital implementation derivative alters steady-state beh...