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Practical stabilizability of discrete-time (DT) switched systems is studied in this paper. We first prove a sufficient condition for ??-practical asymptotic stabilizability of DT switched systems, then we focus on switched affine systems and present an approach to estimating the minimum bound for practical stabilizability. Based on the approach, we present several new sufficient conditions for global...
We establish a unified approach to stability and L2 gain analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for stability of all subsystems, then the...
In this paper, we consider stability analysis and design for switched systems consisting of linear discrete-time descriptor subsystems. When all descriptor subsystems are stable, we show that if the descriptor matrix and all the subsystem matrices are commutative pairwise, then the switched system is stable under arbitrary switching. We also extend the result to the case where all subsystems have...
We present here results pertaining to an adaptive linear neuron (ADALINE) based PID control system co-implemented in a software/hardware approach. The presented method primarily designs a PID controller in the discrete time domain with a simplified mathematical model. The parameters of the system model are online estimated using an ADALINE neural network. Due to online estimating the system parameters...
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under...
In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under...
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