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Presents new approaches in stability analysis of various systems, which is still one of the most burning problems of control theory
Deals with nonautonomous linear and nonlinear continuous finite dimensional systems
Useful for researchers as well as graduate students in control and applied mathematics
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 314)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Aizerman Problem
- Continuous Finite Dimensional Systems
- Control Systems
- Freezing Method
- Linear And Nonlinear Systems
- Matriy-Valued Functions
- Positivity of Impulse Functions
- control
- control system
- nonlinear system
- stability
- stability theory
- syst
Bibliographic Information
Book Title: Explicit Stability Conditions for Continuous Systems
Book Subtitle: A Functional Analytic Approach
Authors: Michael I. Gil’
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/b99808
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-23984-0Published: 17 March 2005
eBook ISBN: 978-3-540-31637-4Published: 05 August 2005
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: X, 190
Topics: Control, Robotics, Mechatronics, Vibration, Dynamical Systems, Control, Systems Theory, Control, Complex Systems, Statistical Physics and Dynamical Systems