Titlebook: Limits of Stability and Stabilization of Time-Delay Systems; A Small-Gain Approac Jing Zhu,Tian Qi,Jie Chen Book 2018 Springer Internationa

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Book 2018n time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This ap

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Small-Gain Stability Conditions,bust control theory. The development is built on the well-known conventional robust stability analysis, requiring essentially no more than a straightforward application of the small-gain theorem. The conditions are conceptually appealing and can be checked using standard robust control toolboxes. Both the .- and .-stability criteria are presented.

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Delay Margin,d to be stabilizable by a finite-dimensional LTI controller. Analytical bounds are also sought after to show explicitly how plant unstable poles and nonminimum phase zeros may fundamentally limit the range of delay over which a plant can be stabilized.

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Delay Radius of MIMO Delay Systems,g the radius of delay variations. Both the lower and upper bounds are derived. Analytical bounds show that the directions of the plant unstable poles and nonminimum phase zeros play important roles in restricting the range for stabilizability.

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Introduction,ch as material, information, or energy from one place to another. This leads to .. Time delay prevails in interconnected systems and networks, which may arise from various sources, including physical transport delay, computation delay, and signal transmission delay. In this chapter, we give a number

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