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In this paper, delay independent stability of linear systems with multi-delay in states is considered. Two typical linear systems are studied respectively. For each, sufficient conditions for system to be asymptotically stable independent of delay are derived. The conditions are of a form that is readily computable. Examples shows the validity and simplicity of the criterions.
For digital control systems comprising a linear digital controller and a continuous plant with time-varying sampling periods, some stability conditions of the nontrivial equilibrium of both linear and nonlinear digital control systems in the Lyapunov sense are obtained. The existing stability results are extended to general digital control systems consisting of nonlinear continuous plants and nonlinear...
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