Stability and time-optimal control of hereditary systems : with application to the economic dynamics of the US
著者
書誌事項
Stability and time-optimal control of hereditary systems : with application to the economic dynamics of the US
（Series on advances in mathematics for applied sciences, v. 60）
World Scientific, c2001
2nd ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.
目次
- Examples of Control Systems Described by Functional Differential Equations
- General Linear Equations
- Lyapunov-Razumikhin Methods of Stability in Delay Equations
- Global Stability of Functional Differential Equations of Neutral Type
- Synthesis of Time-Optimal and Minimum-Effort Control of Linear Ordinary Systems
- Control of Linear Delay Systems
- Synthesis of Time-Optimal and Minimum-Effort Control of Linear Delay Systems
- Controllable Nonlinear Delay Systems
- Control of Interconnected Nonlinear Delay Differential Equations in W2(1)
- The Time-Optimal Control of Linear Differential Equations of Neutral Type
- The Time-Optimal Control Theory of Nonlinear Systems of Neutral Type
- Controllable Nonlinear Neutral Systems
- Stability Theory of Large-Scale Hereditary Systems.
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