Engineering topics
Publications and source records attributed to Brockett, R. W..
Structural properties of equilibrium solutions of quadratic matrix equation, using variational interpretation of associated Riccati equation, transform techniques and Parseval formula
Certain solutions of quadratic matrix equations as functions of real variables
Rearrangement inequalities for positivity of nonquadratic transformations, discussing stability of nonlinear feedback loop described by difference equations
Approximation theory mathematical equivalence between distorted signal recovery and class of optimal control problems
Rearrangement inequalities in stability analysis applied to difference equations governing nonlinear feedback loop
Multiport state space Darlington type network synthesis of positive-real matrices
Pontryagin maximum principle used to study stability of periodic equations in time optimal control problems
Stability theory application to control, circuit theory and aerospace systems
Dynamic system stability, developments, application and literature
Nonlinear DC circuits analyzed by digital computer for application to path integrals and stability problems
Frequency domain stability criteria, discussing generation and validity of stability criteria
Frequency domain stability criteria for loop containing single nonlinearity by Liapunov theory, noting difference from Popov
Frequency domain solution compared to state-space solution for optimal regulator problems
State variable relation to transfer function of linear time-invariant system, examining feedback effects
Frequency domain solution to Kalman regulator problem, examining optimality implications and equivalence of spectral factorization to steady state solutions
Frequency domain stability of loop containing single nonlinearity, using Liapunov theory to give frequency domain stability criteria
Approach for generating stability criteria, applying odd function and power law nonlinearity
Optimization theory and converse of circle criterion for simple time-varying feedback system