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This paper deals with the problem of infinite time linear quadratic differential games for discrete-time singular systems, including nonzero-sum case and zero-sum case. Considering the admissibility of discrete-time singular systems, two sufficient conditions about the differential games are obtained, which provide the optimal strategies and the optimal cost functions via some coupled equations and...
This paper studies the input-output finite-time stabilization problem for time-varying linear singular systems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of disturbance inputs are considered, which belong to ℒ2 and ℒ221E;. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this,...
The static output feedback control problem is investigated in this paper for continuous descriptor systems. New necessary and sufficient conditions are established to ensure the admissibility of the continuous descriptor systems. Then, based on the new necessary and sufficient conditions, sufficient conditions are derived for admissibility of the closed-loop systems. The desired static output feedback...
This paper is concerned with designing filters for linear continuous-time singular systems. Two types of filters are developed; one is an infinite-time filter and the other is a finite-time one. For the former, the convergence of the filtering error to zero is asymptotic with time; but for the latter, it is finite time. Sufficient conditions for the solvability of these design problems are obtained...
Hebbian associative learning is a common form of neuronal adaptation in the brain and is important for many physiological functions such as motor learning, classical conditioning and operant conditioning. Here we show that a Hebbian associative learning synapse is an ideal neuronal substrate for the simultaneous implementation of high-gain adaptive control (HGAC) and model-reference adaptive control...
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