Optimal Control: An Introduction

By A. Locatelli, S. Sieniutycz. 2001

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Discrete‐time control for switched positive systems with application to mitigating viral escape (2011, methodology): “Sufficient conditions introduce certain assumptions about regularity of the system and the behavior of the cost function, which must satisfy the Hamilton–Jacobi–Bellman equation [33].”
Solution formulas for differential Sylvester and Lyapunov equations (2018, background): “iﬀerential Lyapunov equation [9, Ch. 13-14], [19, Ch. 3-4]. Other important applications lie in model order reduction [3] or in optimal control of linear time-invariant systems on ﬁnite time horizons [30]. Despite its importance, there have been but a few eﬀorts to solve the diﬀerential Sylvester / ”