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TSK fuzzy systems types II and III stability analysis: continuous case
Assem H Sonbol1, M Sami Fadali
1Electrical Engineering Department, University of Nevada, Reno, NV 89512, USA.
Abstract:
We propose a new approach for the stability analysis of continuous Sugeno Types II and III dynamic fuzzy systems. We introduce the concept of fuzzy positive definite and fuzzy negative definite systems and use them in arguments similar to those of traditional Lyapunov stability theory to derive new conditions for stability and asymptotic stability for continuous Type II/III dynamic fuzzy systems. To demonstrate the new approach, we apply it to numerical examples.
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The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
01:31Classification of Systems-II
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01:25Multimachine Stability
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01:19Routh-Hurwitz Criterion II
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01:24Pole and System Stability
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01:24BIBO stability of continuous and discrete -time systems
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