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Explicit Stability Conditions for Continuous Systems : A Functional Analytic Approach
Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.
Dynamics of Freezing-Thawing Soil around Subway Shield Tunnels
Addresses development laws for axial strain and excess pore water pressure in silty clay around subway shield tunnels before and after freezing-thawing when subjected to subway loading, as well as the effect of freezing-thawing on the dynamic parameters of silty clay, including the dynamic modulus and damping ratio, introducing readers to the design and construction of bypasses in subway tunnels with the artificial freezing method. On this basis, it then studies the microstructures of silty clay before and after freezing-thawing cyclic loading by means of scanning electron microscope tests and mercury intrusion porosimetry tests. Lastly, the book presents a numerical simulation of the dynamics of silty clay around subway tunnels before and after thawing.
