Explicit Stability Conditions for Continuous Systems A Functional Analytic Approach /

• Main Author: Gil’, Michael I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Control and Information Science, 314
• Subjects: Engineering.; System theory.; Statistical physics.; Dynamical systems.; Vibration.; Dynamics.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Vibration, Dynamical Systems, Control.; Systems Theory, Control.; Statistical Physics, Dynamical Systems and Complexity.

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 cont...

Table of Contents:

• Preliminaries
• Perturbations of Linear Systems
• Linear Systems with Slowly Varying Coefficients
• Linear Dissipative and Piecewise Constant Systems
• Nonlinear Systems with Autonomous Linear Parts
• The Aizerman Problem
• Nonlinear Systems with Time-Variant Linear Parts
• Essentially Nonlinear Systems
• The Lur'e Type Systems
• The Aizerman Type Problem for Nonautonomous Systems
• Input - State Stability
• Orbital Stability and Forced Oscillations
• Positive and Nontrivial Steady States.