It can be found by solving the problem of one-dimensional cutting with additional restrictions.
The feedback operator can then be found by solving the resulting matrix Riccati equations.
Specifically, we show how equilibria can be found by solving a system of polynomial equations.
The desired L2 L∞ dynamic output feedback controller can be found by solving a convex optimization problem.
The Lyapunov function can be found by solving a Lyapunov equation, which also generates variable structure switching surfaces.
We show such an equilibrium can be found by solving an infinite-dimensional linear program and its dual.
Using von Mises criterion, lower bounds of collapse load can be found by solving a quartic equation, thus avoiding the numerical sweep needed with Tresca criterion.
First, combining with the regional pole assignment, the optimal control can be found by solving a strict linear matrix inequality (LMI) problem.
The structure of the optimization problem is then exploited in a way that its solution can be found by solving a minimal set of nonlinear equations.
For Lur'e systems, which are not necessarily in the output-feedback form, the proposed controllers can be found by solving the regulator equations and certain linear matrix inequalities.
The admissible state feedback controller can be found by solving a sequential minimization problem subject to LMI constraints by applying the cone complementary linearization method.
