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In this paper, we consider discrete-time semiparametric control systems where both parametric and nonparametric uncertainties are included. In particular, we will study the capability of feedback with an unknown parameter in the input channel and will demonstrate that the necessary and sufficient condition to stabilize the system is L <;; 3/2 + √2, where L is the Lipschitz constant describing the...
Most of the existing results on adaptive control of discrete-time systems are concerned with the case where the unknown parameters enter into the system in a linear way. For systems with nonlinearly parameterized unknown parameters, one problem in constructing the controller lies in the fact that the traditional least squares and gradient estimation based adaptive controller will have essential difficulties...
Under the unified model of hybrid control systems, we put forward the optimal control problem of impulsive jumping transition systems. The hybrid control and hybrid Hamilton function are defined. Making use of variation methods, we prove the essential conditions when hybrid controls are optimal.
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