It begins with deriving and implementing a rigorous Riccati-based approach for the classical, or “strict,” linear-quadratic regulator (LQR). The key steps involve solving a continuous-time Riccati ...

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The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

A row is used for each term in the equation to work out the coordinates. To draw a quadratic graph from an equation: Add up the terms of the quadratic expression, a column at a time, to find the ...

The fractional differential equations are solved both analytically and numerically ... Stability analysis is performed to identify equilibrium points and derive precise conditions for system stability ...

The main objective of the present work is to derive the Gutenberg-Richter magnitude-frequency empirical formula from the solution of the generalized logistic equation and to illustrate its usage by ...

The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In ...

This book is written as a senior undergraduate and graduate textbook of theoretical plasma physics; topics include Boltzmann equation, two-fluid equations, magnetohydrodynamics, Vlasov–Maxwell Plasma, ...