Stability analysis for neutral stochastic linear system
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This study is a further note on stability analysis for uncertain linear neutral stochastic system. Firstly, the stability of linear neutral stochastic system with mix delays is studied. By employing a new Lyapunov–Krasovskii functional and novel method to estimate the integral terms, the less conservative stability criteria are obtained. Compared with previous results, the novel method can sufficiently utilise more negative items information. Then, in virtue of the Schur complement and linear matrix inequality technique, the robust stability of the uncertain neutral stochastic system is derived, which have less conservatism. Finally, two numerical examples show that the authors’ results are effective and less conservative than other reports in the previous literature.Keywords:
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Chapter 1 Preface Chapter 2 The Emergence of Contemporary American Conservatism Chapter 3 The Problem of Defining Conservatism Chapter 4 The Ten Most Important Beliefs of Conservatism Chapter 5 The Classical Roots of Conservative Thought Chapter 6 The Historical Development of American Conservatism Chapter 7 The Competing Conservative Traditions in America Chapter 8 The Directions of Contemporary American Conservatism Chapter 9 Epilogue: Rhetorical Conservatism and Postmodernism Chapter 10 A Selected Topical Bibliography Chapter 11 Index
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As a kind of political thought, conservatism is very different from the theory which encourages revolutions. It is not easy or right to say which one is better, the conservatism or the liberalism. This article focuses on the main ideas of conservatism and its impact on the course of policy-making in American history. A macroscopic investigation on American history by conservatism is recognized in the long river of history are helpful to be understood each other.
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Several solution strategies for a class of large, sparse linear systems with a block 2 × 2 structure arising from the finite element discretization of an optimal control problem in wind simulation are introduced and analyzed. Block preconditioners and a sparse direct solver on the original coupled system are compared with a preconditioned GMRES iteration applied to a reduced system (Schur complement). Theoretical and experimental results demonstrate the effectiveness of the reduced system approach. Copyright © 2009 John Wiley & Sons, Ltd.
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This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur‐complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to enforce the prespecified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.
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