Abstract
In this paper we develop an optimality-based nonlinear control framework for nonlinear systems with time-invariant sector-bounded memoryless input nonlinearities. Specifically, using an optimal nonlinear control framework we develop a family of globally stabilizing controllers parameterized by the cost functional that is minimized. Furthermore, it is shown that the control Lyapunov function guaranteeing closed-loop stability over a prescribed set of input nonlinearities is a solution to the steady-state Hamilton-Jacobi-Bellman equation for the controlled system and thus guarantees stability and performance.
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