Stability of Switched Stohastic Nonlinear Systems

Filipović, Vojislav; Nedić, Novak

doi:10.5772/9839

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2011

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“…That is the most frequent nonlinearity encountered in the practice. Reference [13] describes the application of switching system in the air traffic management.…”

Section: Introductionmentioning

confidence: 99%

Global exponential stability of switched systems

Filipović

2011

Appl. Math. Mech.-Engl. Ed.

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This paper proposes a method for the stability analysis of deterministic switched systems. Two motivational examples are introduced (nonholonomic system and constrained pendulum). The finite collection of models consists of nonlinear models, and a switching sequence is arbitrary. It is supposed that there is no jump in the state at switching instants, and there is no Zeno behavior, i.e., there is a finite number of switches on every bounded interval. For the analysis of deterministic switched systems, the multiple Lyapunov functions are used, and the global exponential stability is proved. The exponentially stable equilibrium of systems is relevant for practice because such systems are robust to perturbations.

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“…That is the most frequent nonlinearity encountered in the practice. Reference [13] describes the application of switching system in the air traffic management.…”

Section: Introductionmentioning

confidence: 99%

Global exponential stability of switched systems

Filipović

2011

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

show abstract

Stability of Switched Stohastic Nonlinear Systems

Cited by 1 publication

References 11 publications

Global exponential stability of switched systems

Global exponential stability of switched systems

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